JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (2024)

Given the equation

2HI= I2 + H2

Here let initial moles of HI=N. Moles vanished=y

So at time=0 N= 0 0

At time =t

N-2y= y y

Given 50% of HI dissociates. So conc. of HI left=50%

So we can say

N-2y=50%of N

N-2y=N/2

2y=N-N/2

y=N/4

[I2] =N/4V=[H2]

[HI] =N/2V

So Kc=[I2].[H2]/[HI]^2

Kc=(N^2/16)/(N^2/4) =(N^2x4)/(N^2x16) =4/16 =0.25

." }}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

For the first order reaction with rate constant k, which expression gives the half-life period? (Initial conc. = a)

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For the first order reaction with rate constant k, which expression gives the half-life period? (Initial conc. = a)

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(1n2/k)

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For the first order reaction with rate constant k, which expression gives the half-life period? (Initial conc. = a)

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

(1/ka)

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For the first order reaction with rate constant k, which expression gives the half-life period? (Initial conc. = a)

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

(0.693/k)

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For the first order reaction with rate constant k, which expression gives the half-life period? (Initial conc. = a)

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

(3/2ka2)

", "comment": { "@type": "Comment", "text": "

For the first order reaction with rate constant k, which expression gives the half-life period? (Initial conc. = a)

" }}],"acceptedAnswer": { "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "c", "comment": { "@type": "Comment", "text": "

For the first order reaction with rate constant k, which expression gives the half-life period? (Initial conc. = a)

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The element with highest electron affinity among the halogens is

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The element with highest electron affinity among the halogens is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

F

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The element with highest electron affinity among the halogens is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Cl

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The element with highest electron affinity among the halogens is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Br

", "comment": { "@type": "Comment", "text": "

The element with highest electron affinity among the halogens is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

I

", "comment": { "@type": "Comment", "text": "

The element with highest electron affinity among the halogens is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

The element with highest electron affinity among the halogens is

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As we move from Cl to I, the electron affinity becomes less due to a corresponding increase in their atomic radii. The electron affinity of F is, however, unexpectedly less than that of Cl, because due to its small size, there are electron-electron repulsions in the relatively compact 2p-subshell.

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Variation of heat of reaction with temperature is known as

" },"encodingFormat": "text/html","text": "

Variation of heat of reaction with temperature is known as

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

Vant Hoff's isotherm

", "comment": { "@type": "Comment", "text": "

Variation of heat of reaction with temperature is known as

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Vant Hoff's isochore

", "comment": { "@type": "Comment", "text": "

Variation of heat of reaction with temperature is known as

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Kirchoff's equation

", "comment": { "@type": "Comment", "text": "

Variation of heat of reaction with temperature is known as

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

Kemmerling equation

", "comment": { "@type": "Comment", "text": "

Variation of heat of reaction with temperature is known as

" }}],"acceptedAnswer": { "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "c", "comment": { "@type": "Comment", "text": "

Variation of heat of reaction with temperature is known as

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The shape of cuprammonium ion is

" },"encodingFormat": "text/html","text": "

The shape of cuprammonium ion is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

Octahedral

", "comment": { "@type": "Comment", "text": "

The shape of cuprammonium ion is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Tetrahedral

", "comment": { "@type": "Comment", "text": "

The shape of cuprammonium ion is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Trigonal

", "comment": { "@type": "Comment", "text": "

The shape of cuprammonium ion is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

Square planar

", "comment": { "@type": "Comment", "text": "

The shape of cuprammonium ion is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "d", "comment": { "@type": "Comment", "text": "

The shape of cuprammonium ion is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

Dye test can be used to distinguish between

" },"encodingFormat": "text/html","text": "

Dye test can be used to distinguish between

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

Ethylamine and acetamide

", "comment": { "@type": "Comment", "text": "

Dye test can be used to distinguish between

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Ethylamine and aniline

", "comment": { "@type": "Comment", "text": "

Dye test can be used to distinguish between

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Urea and acetamide

", "comment": { "@type": "Comment", "text": "

Dye test can be used to distinguish between

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

Methylamine and ethylamine

", "comment": { "@type": "Comment", "text": "

Dye test can be used to distinguish between

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

Dye test can be used to distinguish between

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

Two platinum electrodes were immersed in a solution of CuSO₄ and electric current was passed through the solution. After sometimes it was found that colour of CuSO₄ disappeared with evolution of gas at the electrode. The colourless solution contains

" },"encodingFormat": "text/html","text": "

Two platinum electrodes were immersed in a solution of CuSO₄ and electric current was passed through the solution. After sometimes it was found that colour of CuSO₄ disappeared with evolution of gas at the electrode. The colourless solution contains

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

Platinum sulphate

", "comment": { "@type": "Comment", "text": "

Two platinum electrodes were immersed in a solution of CuSO₄ and electric current was passed through the solution. After sometimes it was found that colour of CuSO₄ disappeared with evolution of gas at the electrode. The colourless solution contains

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Copper hydroxide

", "comment": { "@type": "Comment", "text": "

Two platinum electrodes were immersed in a solution of CuSO₄ and electric current was passed through the solution. After sometimes it was found that colour of CuSO₄ disappeared with evolution of gas at the electrode. The colourless solution contains

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Copper sulphate

", "comment": { "@type": "Comment", "text": "

Two platinum electrodes were immersed in a solution of CuSO₄ and electric current was passed through the solution. After sometimes it was found that colour of CuSO₄ disappeared with evolution of gas at the electrode. The colourless solution contains

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

Sulphuric acid

", "comment": { "@type": "Comment", "text": "

Two platinum electrodes were immersed in a solution of CuSO₄ and electric current was passed through the solution. After sometimes it was found that colour of CuSO₄ disappeared with evolution of gas at the electrode. The colourless solution contains

" }}],"acceptedAnswer": { "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "d", "comment": { "@type": "Comment", "text": "

Two platinum electrodes were immersed in a solution of CuSO₄ and electric current was passed through the solution. After sometimes it was found that colour of CuSO₄ disappeared with evolution of gas at the electrode. The colourless solution contains

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The hydroxide ion concentration of a wine is 8´10–11M. What is the pH of the wine?

" },"encodingFormat": "text/html","text": "

The hydroxide ion concentration of a wine is 8´10–11M. What is the pH of the wine?

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

2.10

", "comment": { "@type": "Comment", "text": "

The hydroxide ion concentration of a wine is 8´10–11M. What is the pH of the wine?

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

2.9

", "comment": { "@type": "Comment", "text": "

The hydroxide ion concentration of a wine is 8´10–11M. What is the pH of the wine?

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

3.9

", "comment": { "@type": "Comment", "text": "

The hydroxide ion concentration of a wine is 8´10–11M. What is the pH of the wine?

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

4.9

", "comment": { "@type": "Comment", "text": "

The hydroxide ion concentration of a wine is 8´10–11M. What is the pH of the wine?

" }}],"acceptedAnswer": { "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "c", "comment": { "@type": "Comment", "text": "

The hydroxide ion concentration of a wine is 8´10–11M. What is the pH of the wine?

" }, "answerExplanation": { "@type": "Comment", "text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (1)

." }}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The pH of 10 M HCl aqueous solution is

" },"encodingFormat": "text/html","text": "

The pH of 10 M HCl aqueous solution is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

less than 0

", "comment": { "@type": "Comment", "text": "

The pH of 10 M HCl aqueous solution is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

zero

", "comment": { "@type": "Comment", "text": "

The pH of 10 M HCl aqueous solution is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

2

", "comment": { "@type": "Comment", "text": "

The pH of 10 M HCl aqueous solution is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

1

", "comment": { "@type": "Comment", "text": "

The pH of 10 M HCl aqueous solution is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

The pH of 10 M HCl aqueous solution is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The compound whose 0.1 M solutions is basic is

" },"encodingFormat": "text/html","text": "

The compound whose 0.1 M solutions is basic is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

Ammonium acetate

", "comment": { "@type": "Comment", "text": "

The compound whose 0.1 M solutions is basic is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Ammonium chloride

", "comment": { "@type": "Comment", "text": "

The compound whose 0.1 M solutions is basic is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Ammonium sulphate

", "comment": { "@type": "Comment", "text": "

The compound whose 0.1 M solutions is basic is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

Sodium acetate

", "comment": { "@type": "Comment", "text": "

The compound whose 0.1 M solutions is basic is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

The compound whose 0.1 M solutions is basic is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The compound whose water solution has the highest pH is

" },"encodingFormat": "text/html","text": "

The compound whose water solution has the highest pH is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

NaCl

", "comment": { "@type": "Comment", "text": "

The compound whose water solution has the highest pH is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

NaHC₃

", "comment": { "@type": "Comment", "text": "

The compound whose water solution has the highest pH is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Na₂CO₃

", "comment": { "@type": "Comment", "text": "

The compound whose water solution has the highest pH is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

NH₄Cl

", "comment": { "@type": "Comment", "text": "

The compound whose water solution has the highest pH is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "c", "comment": { "@type": "Comment", "text": "

The compound whose water solution has the highest pH is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The dissociation constant is highest for

" },"encodingFormat": "text/html","text": "

The dissociation constant is highest for

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

C₆H₅OH

", "comment": { "@type": "Comment", "text": "

The dissociation constant is highest for

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

CH₃C≡CH

", "comment": { "@type": "Comment", "text": "

The dissociation constant is highest for

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

CH₃NH₃⁺Cl⁻

", "comment": { "@type": "Comment", "text": "

The dissociation constant is highest for

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

C₆H₅CH₂OH

", "comment": { "@type": "Comment", "text": "

The dissociation constant is highest for

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

The dissociation constant is highest for

" }, "answerExplanation": { "@type": "Comment", "text": "The dissociation constant is highest for Phenol (C6H5OH). This result can be obtained from the fact that dissociation constant is higher for reactions in which more products are obtained, or the products are more stable.." }}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The order of decreasing ease of reaction with ammonia is

" },"encodingFormat": "text/html","text": "

The order of decreasing ease of reaction with ammonia is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

Anhydrides, esters, ethers

", "comment": { "@type": "Comment", "text": "

The order of decreasing ease of reaction with ammonia is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Anhydrides, ethers, esters

", "comment": { "@type": "Comment", "text": "

The order of decreasing ease of reaction with ammonia is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Ethers, anhydrides, esters

", "comment": { "@type": "Comment", "text": "

The order of decreasing ease of reaction with ammonia is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

Esters, ethers, anhydrides

", "comment": { "@type": "Comment", "text": "

The order of decreasing ease of reaction with ammonia is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

The order of decreasing ease of reaction with ammonia is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

Which is not the primary carbocation?

" },"encodingFormat": "text/html","text": "

Which is not the primary carbocation?

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (2)

", "comment": { "@type": "Comment", "text": "

Which is not the primary carbocation?

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (3)

", "comment": { "@type": "Comment", "text": "

Which is not the primary carbocation?

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (4)

", "comment": { "@type": "Comment", "text": "

Which is not the primary carbocation?

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (5)

", "comment": { "@type": "Comment", "text": "

Which is not the primary carbocation?

" }}],"acceptedAnswer": { "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "c", "comment": { "@type": "Comment", "text": "

Which is not the primary carbocation?

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

Ethane is obtained from ethylene by which of the following methods?

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Ethane is obtained from ethylene by which of the following methods?

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

Wurtz reaction

", "comment": { "@type": "Comment", "text": "

Ethane is obtained from ethylene by which of the following methods?

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Dehydrogenation

", "comment": { "@type": "Comment", "text": "

Ethane is obtained from ethylene by which of the following methods?

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Frakland reaction

", "comment": { "@type": "Comment", "text": "

Ethane is obtained from ethylene by which of the following methods?

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

Sabatier-Senderens reduction

", "comment": { "@type": "Comment", "text": "

Ethane is obtained from ethylene by which of the following methods?

" }}],"acceptedAnswer": { "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "d", "comment": { "@type": "Comment", "text": "

Ethane is obtained from ethylene by which of the following methods?

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

An element (atomic mass = 100 g/mol) having bcc structure has unit cell edge 400 pm. The density of the element is

" },"encodingFormat": "text/html","text": "

An element (atomic mass = 100 g/mol) having bcc structure has unit cell edge 400 pm. The density of the element is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

10.376 g/cm3

", "comment": { "@type": "Comment", "text": "

An element (atomic mass = 100 g/mol) having bcc structure has unit cell edge 400 pm. The density of the element is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

5.1888 g/cm3

", "comment": { "@type": "Comment", "text": "

An element (atomic mass = 100 g/mol) having bcc structure has unit cell edge 400 pm. The density of the element is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

7.289 g/cm3

", "comment": { "@type": "Comment", "text": "

An element (atomic mass = 100 g/mol) having bcc structure has unit cell edge 400 pm. The density of the element is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

2.144 g/cm3

", "comment": { "@type": "Comment", "text": "

An element (atomic mass = 100 g/mol) having bcc structure has unit cell edge 400 pm. The density of the element is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

An element (atomic mass = 100 g/mol) having bcc structure has unit cell edge 400 pm. The density of the element is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

Zn converts its melting state to its solid state, it has HCP structure, then find out the nearest number of atoms

" },"encodingFormat": "text/html","text": "

Zn converts its melting state to its solid state, it has HCP structure, then find out the nearest number of atoms

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

6

", "comment": { "@type": "Comment", "text": "

Zn converts its melting state to its solid state, it has HCP structure, then find out the nearest number of atoms

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

8

", "comment": { "@type": "Comment", "text": "

Zn converts its melting state to its solid state, it has HCP structure, then find out the nearest number of atoms

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

12

", "comment": { "@type": "Comment", "text": "

Zn converts its melting state to its solid state, it has HCP structure, then find out the nearest number of atoms

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

4

", "comment": { "@type": "Comment", "text": "

Zn converts its melting state to its solid state, it has HCP structure, then find out the nearest number of atoms

" }}],"acceptedAnswer": { "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "c", "comment": { "@type": "Comment", "text": "

Zn converts its melting state to its solid state, it has HCP structure, then find out the nearest number of atoms

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

A solute is soluble in two immiscible liquids which are present in the mixture. The concentration of the solute in the upper layer will be

" },"encodingFormat": "text/html","text": "

A solute is soluble in two immiscible liquids which are present in the mixture. The concentration of the solute in the upper layer will be

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

Same as in the lower layer

", "comment": { "@type": "Comment", "text": "

A solute is soluble in two immiscible liquids which are present in the mixture. The concentration of the solute in the upper layer will be

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Less than in the lower layer

", "comment": { "@type": "Comment", "text": "

A solute is soluble in two immiscible liquids which are present in the mixture. The concentration of the solute in the upper layer will be

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

More than in the lower layer

", "comment": { "@type": "Comment", "text": "

A solute is soluble in two immiscible liquids which are present in the mixture. The concentration of the solute in the upper layer will be

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

In fixed ratio with that in the lower layer

", "comment": { "@type": "Comment", "text": "

A solute is soluble in two immiscible liquids which are present in the mixture. The concentration of the solute in the upper layer will be

" }}],"acceptedAnswer": { "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "d", "comment": { "@type": "Comment", "text": "

A solute is soluble in two immiscible liquids which are present in the mixture. The concentration of the solute in the upper layer will be

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

An example of natural biopolymer is

" },"encodingFormat": "text/html","text": "

An example of natural biopolymer is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

Teflon

", "comment": { "@type": "Comment", "text": "

An example of natural biopolymer is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Nylon-66

", "comment": { "@type": "Comment", "text": "

An example of natural biopolymer is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Rubber

", "comment": { "@type": "Comment", "text": "

An example of natural biopolymer is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

DNA

", "comment": { "@type": "Comment", "text": "

An example of natural biopolymer is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "d", "comment": { "@type": "Comment", "text": "

An example of natural biopolymer is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

Identify the mixture that shows positive deviations from Raoult's law

" },"encodingFormat": "text/html","text": "

Identify the mixture that shows positive deviations from Raoult's law

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

CHCl₃+(CH₃)₂CO

", "comment": { "@type": "Comment", "text": "

Identify the mixture that shows positive deviations from Raoult's law

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

(CH₃)₂CO+C₆H₅NH₂

", "comment": { "@type": "Comment", "text": "

Identify the mixture that shows positive deviations from Raoult's law

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

CHCl₃+C₆H₆

", "comment": { "@type": "Comment", "text": "

Identify the mixture that shows positive deviations from Raoult's law

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

(CH₃)₂CO+CS₂

", "comment": { "@type": "Comment", "text": "

Identify the mixture that shows positive deviations from Raoult's law

" }}],"acceptedAnswer": { "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "d", "comment": { "@type": "Comment", "text": "

Identify the mixture that shows positive deviations from Raoult's law

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

Which of the following is formed when alkyne reacts with water in the presence of sulphuric acid and mercurous acid?

" },"encodingFormat": "text/html","text": "

Which of the following is formed when alkyne reacts with water in the presence of sulphuric acid and mercurous acid?

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

ester

", "comment": { "@type": "Comment", "text": "

Which of the following is formed when alkyne reacts with water in the presence of sulphuric acid and mercurous acid?

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

alkane

", "comment": { "@type": "Comment", "text": "

Which of the following is formed when alkyne reacts with water in the presence of sulphuric acid and mercurous acid?

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

ketone

", "comment": { "@type": "Comment", "text": "

Which of the following is formed when alkyne reacts with water in the presence of sulphuric acid and mercurous acid?

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

carboxylic acid

", "comment": { "@type": "Comment", "text": "

Which of the following is formed when alkyne reacts with water in the presence of sulphuric acid and mercurous acid?

" }}],"acceptedAnswer": { "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "c", "comment": { "@type": "Comment", "text": "

Which of the following is formed when alkyne reacts with water in the presence of sulphuric acid and mercurous acid?

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The radius of which of the following orbit is same as that of the Bohr's first orbit of hydrogen atom?

" },"encodingFormat": "text/html","text": "

The radius of which of the following orbit is same as that of the Bohr's first orbit of hydrogen atom?

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

He⁺(n=2)

", "comment": { "@type": "Comment", "text": "

The radius of which of the following orbit is same as that of the Bohr's first orbit of hydrogen atom?

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Li2⁺(n=2)

", "comment": { "@type": "Comment", "text": "

The radius of which of the following orbit is same as that of the Bohr's first orbit of hydrogen atom?

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Li2⁺(n=3)

", "comment": { "@type": "Comment", "text": "

The radius of which of the following orbit is same as that of the Bohr's first orbit of hydrogen atom?

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

Be2⁺(n=2)

", "comment": { "@type": "Comment", "text": "

The radius of which of the following orbit is same as that of the Bohr's first orbit of hydrogen atom?

" }}],"acceptedAnswer": { "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "d", "comment": { "@type": "Comment", "text": "

The radius of which of the following orbit is same as that of the Bohr's first orbit of hydrogen atom?

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

Which of the following electronic transition in a hydrogen atom will require the largest amount of energy?

" },"encodingFormat": "text/html","text": "

Which of the following electronic transition in a hydrogen atom will require the largest amount of energy?

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

From n = 1 to n = 2

", "comment": { "@type": "Comment", "text": "

Which of the following electronic transition in a hydrogen atom will require the largest amount of energy?

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

From n = 2 to n = 3

", "comment": { "@type": "Comment", "text": "

Which of the following electronic transition in a hydrogen atom will require the largest amount of energy?

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

From n = ∞ to n = 1

", "comment": { "@type": "Comment", "text": "

Which of the following electronic transition in a hydrogen atom will require the largest amount of energy?

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

From n = 3 to n = 5

", "comment": { "@type": "Comment", "text": "

Which of the following electronic transition in a hydrogen atom will require the largest amount of energy?

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

Which of the following electronic transition in a hydrogen atom will require the largest amount of energy?

" }, "answerExplanation": { "@type": "Comment", "text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (6)

." }}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The enthalpies of combustion of carbon and carbon monoxide are -393.5 and -283kJ-mol⁻1 respectively. The enthalpy of formation of carbon monoxide is

" },"encodingFormat": "text/html","text": "

The enthalpies of combustion of carbon and carbon monoxide are -393.5 and -283kJ-mol⁻1 respectively. The enthalpy of formation of carbon monoxide is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

110.5 KJ-mol⁻1

", "comment": { "@type": "Comment", "text": "

The enthalpies of combustion of carbon and carbon monoxide are -393.5 and -283kJ-mol⁻1 respectively. The enthalpy of formation of carbon monoxide is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

-110.5 KJ-mol⁻1

", "comment": { "@type": "Comment", "text": "

The enthalpies of combustion of carbon and carbon monoxide are -393.5 and -283kJ-mol⁻1 respectively. The enthalpy of formation of carbon monoxide is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

-676.5 KJ-mol⁻1

", "comment": { "@type": "Comment", "text": "

The enthalpies of combustion of carbon and carbon monoxide are -393.5 and -283kJ-mol⁻1 respectively. The enthalpy of formation of carbon monoxide is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

676.5 KJ-mol⁻1

", "comment": { "@type": "Comment", "text": "

The enthalpies of combustion of carbon and carbon monoxide are -393.5 and -283kJ-mol⁻1 respectively. The enthalpy of formation of carbon monoxide is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

The enthalpies of combustion of carbon and carbon monoxide are -393.5 and -283kJ-mol⁻1 respectively. The enthalpy of formation of carbon monoxide is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

For a second order reaction, the time required for half change is _

" },"encodingFormat": "text/html","text": "

For a second order reaction, the time required for half change is _

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

Directly proportional to the initial concentration

", "comment": { "@type": "Comment", "text": "

For a second order reaction, the time required for half change is _

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Independent of the initial concentration

", "comment": { "@type": "Comment", "text": "

For a second order reaction, the time required for half change is _

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Inversely proportional to the initial concentration

", "comment": { "@type": "Comment", "text": "

For a second order reaction, the time required for half change is _

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

Inversely proportional to the square of the initial concentration.

", "comment": { "@type": "Comment", "text": "

For a second order reaction, the time required for half change is _

" }}],"acceptedAnswer": { "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "c", "comment": { "@type": "Comment", "text": "

For a second order reaction, the time required for half change is _

" }, "answerExplanation": { "@type": "Comment", "text": "

For a second order reaction.
where a = b

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (7)

." }}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

If the length of CO bond in carbon monoxide is 1.128Å, then what is the value of CO bond length in Fe(CO)5?

" },"encodingFormat": "text/html","text": "

If the length of CO bond in carbon monoxide is 1.128Å, then what is the value of CO bond length in Fe(CO)5?

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

1.15Å

", "comment": { "@type": "Comment", "text": "

If the length of CO bond in carbon monoxide is 1.128Å, then what is the value of CO bond length in Fe(CO)5?

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

1.128Å

", "comment": { "@type": "Comment", "text": "

If the length of CO bond in carbon monoxide is 1.128Å, then what is the value of CO bond length in Fe(CO)5?

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

1.72Å

", "comment": { "@type": "Comment", "text": "

If the length of CO bond in carbon monoxide is 1.128Å, then what is the value of CO bond length in Fe(CO)5?

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

1.118Å

", "comment": { "@type": "Comment", "text": "

If the length of CO bond in carbon monoxide is 1.128Å, then what is the value of CO bond length in Fe(CO)5?

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

If the length of CO bond in carbon monoxide is 1.128Å, then what is the value of CO bond length in Fe(CO)5?

" }, "answerExplanation": { "@type": "Comment", "text": "

Due to synergic bond formation between metal and CO, the bond order of CO decreases

." }}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

If nitrogen and sulphur both are present in an organic compound, then during the Lassaigne's test, both will change into

" },"encodingFormat": "text/html","text": "

If nitrogen and sulphur both are present in an organic compound, then during the Lassaigne's test, both will change into

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

NaSCN

", "comment": { "@type": "Comment", "text": "

If nitrogen and sulphur both are present in an organic compound, then during the Lassaigne's test, both will change into

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Na₂S and NaCNO

", "comment": { "@type": "Comment", "text": "

If nitrogen and sulphur both are present in an organic compound, then during the Lassaigne's test, both will change into

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Na₂S and NaCN

", "comment": { "@type": "Comment", "text": "

If nitrogen and sulphur both are present in an organic compound, then during the Lassaigne's test, both will change into

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

Na₂SO₃ and NaCN

", "comment": { "@type": "Comment", "text": "

If nitrogen and sulphur both are present in an organic compound, then during the Lassaigne's test, both will change into

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

If nitrogen and sulphur both are present in an organic compound, then during the Lassaigne's test, both will change into

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

220 cannot be the sum of the first n cubes for a suitable n, because 220 is :

" },"encodingFormat": "text/html","text": "

220 cannot be the sum of the first n cubes for a suitable n, because 220 is :

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

not an odd number

", "comment": { "@type": "Comment", "text": "

220 cannot be the sum of the first n cubes for a suitable n, because 220 is :

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

not a square

", "comment": { "@type": "Comment", "text": "

220 cannot be the sum of the first n cubes for a suitable n, because 220 is :

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

not a cube

", "comment": { "@type": "Comment", "text": "

220 cannot be the sum of the first n cubes for a suitable n, because 220 is :

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

divisible by 10

", "comment": { "@type": "Comment", "text": "

220 cannot be the sum of the first n cubes for a suitable n, because 220 is :

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

220 cannot be the sum of the first n cubes for a suitable n, because 220 is :

" }, "answerExplanation": { "@type": "Comment", "text": "

Sum of n cubes is equal to the square (n+1) square by4

n sq .(n+1) square\4=220

n square.(n+1) square=4×220

here n square can be 4

(n+1) square cannot be equal to 220

Hence b option is correct.

." }}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

If 'n' is a positive integer, then n3 + 2n is divisible by

" },"encodingFormat": "text/html","text": "

If 'n' is a positive integer, then n3 + 2n is divisible by

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

15

", "comment": { "@type": "Comment", "text": "

If 'n' is a positive integer, then n3 + 2n is divisible by

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

3

", "comment": { "@type": "Comment", "text": "

If 'n' is a positive integer, then n3 + 2n is divisible by

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

2

", "comment": { "@type": "Comment", "text": "

If 'n' is a positive integer, then n3 + 2n is divisible by

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

6

", "comment": { "@type": "Comment", "text": "

If 'n' is a positive integer, then n3 + 2n is divisible by

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

If 'n' is a positive integer, then n3 + 2n is divisible by

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The area of the region bounded by the curve y = x - x2between x = 0 and x = 1 is

" },"encodingFormat": "text/html","text": "

The area of the region bounded by the curve y = x - x2between x = 0 and x = 1 is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

1/6

", "comment": { "@type": "Comment", "text": "

The area of the region bounded by the curve y = x - x2between x = 0 and x = 1 is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

1/3

", "comment": { "@type": "Comment", "text": "

The area of the region bounded by the curve y = x - x2between x = 0 and x = 1 is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

1/2

", "comment": { "@type": "Comment", "text": "

The area of the region bounded by the curve y = x - x2between x = 0 and x = 1 is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

5/6

", "comment": { "@type": "Comment", "text": "

The area of the region bounded by the curve y = x - x2between x = 0 and x = 1 is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

The area of the region bounded by the curve y = x - x2between x = 0 and x = 1 is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The circle x2 + y2+ 4x + 6y + 3 = 0 and 2(x2+y2) + 6x + 4y + c = 0 will cut orthogonally if c equals

" },"encodingFormat": "text/html","text": "

The circle x2 + y2+ 4x + 6y + 3 = 0 and 2(x2+y2) + 6x + 4y + c = 0 will cut orthogonally if c equals

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

4

", "comment": { "@type": "Comment", "text": "

The circle x2 + y2+ 4x + 6y + 3 = 0 and 2(x2+y2) + 6x + 4y + c = 0 will cut orthogonally if c equals

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

18

", "comment": { "@type": "Comment", "text": "

The circle x2 + y2+ 4x + 6y + 3 = 0 and 2(x2+y2) + 6x + 4y + c = 0 will cut orthogonally if c equals

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

12

", "comment": { "@type": "Comment", "text": "

The circle x2 + y2+ 4x + 6y + 3 = 0 and 2(x2+y2) + 6x + 4y + c = 0 will cut orthogonally if c equals

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

16

", "comment": { "@type": "Comment", "text": "

The circle x2 + y2+ 4x + 6y + 3 = 0 and 2(x2+y2) + 6x + 4y + c = 0 will cut orthogonally if c equals

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

The circle x2 + y2+ 4x + 6y + 3 = 0 and 2(x2+y2) + 6x + 4y + c = 0 will cut orthogonally if c equals

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

If the circles x2 + y2 = 9 and x + y + 2ax + 2y + 1 = 0 touch each other, then a is

" },"encodingFormat": "text/html","text": "

If the circles x2 + y2 = 9 and x + y + 2ax + 2y + 1 = 0 touch each other, then a is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

-4/3, 4/3

", "comment": { "@type": "Comment", "text": "

If the circles x2 + y2 = 9 and x + y + 2ax + 2y + 1 = 0 touch each other, then a is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

", "comment": { "@type": "Comment", "text": "

If the circles x2 + y2 = 9 and x + y + 2ax + 2y + 1 = 0 touch each other, then a is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

1

", "comment": { "@type": "Comment", "text": "

If the circles x2 + y2 = 9 and x + y + 2ax + 2y + 1 = 0 touch each other, then a is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

5/3, -5/3

", "comment": { "@type": "Comment", "text": "

If the circles x2 + y2 = 9 and x + y + 2ax + 2y + 1 = 0 touch each other, then a is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

If the circles x2 + y2 = 9 and x + y + 2ax + 2y + 1 = 0 touch each other, then a is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

If z₁ and z₂ are two complex numbers, then |z₁ - z₂| =

" },"encodingFormat": "text/html","text": "

If z₁ and z₂ are two complex numbers, then |z₁ - z₂| =

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

≥ |z₁| - |z₂|

", "comment": { "@type": "Comment", "text": "

If z₁ and z₂ are two complex numbers, then |z₁ - z₂| =

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

≤ |z₁| - |z₂|

", "comment": { "@type": "Comment", "text": "

If z₁ and z₂ are two complex numbers, then |z₁ - z₂| =

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

≥ |z₁| + |z₂|

", "comment": { "@type": "Comment", "text": "

If z₁ and z₂ are two complex numbers, then |z₁ - z₂| =

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

≤ |z₂| - |z₁|

", "comment": { "@type": "Comment", "text": "

If z₁ and z₂ are two complex numbers, then |z₁ - z₂| =

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

If z₁ and z₂ are two complex numbers, then |z₁ - z₂| =

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The triangle formed by the points 1, (1 + i)/√2 and i as vertices in the Argand diagram is

" },"encodingFormat": "text/html","text": "

The triangle formed by the points 1, (1 + i)/√2 and i as vertices in the Argand diagram is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

scalene

", "comment": { "@type": "Comment", "text": "

The triangle formed by the points 1, (1 + i)/√2 and i as vertices in the Argand diagram is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

equilateral

", "comment": { "@type": "Comment", "text": "

The triangle formed by the points 1, (1 + i)/√2 and i as vertices in the Argand diagram is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

isosceles

", "comment": { "@type": "Comment", "text": "

The triangle formed by the points 1, (1 + i)/√2 and i as vertices in the Argand diagram is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

right angled

", "comment": { "@type": "Comment", "text": "

The triangle formed by the points 1, (1 + i)/√2 and i as vertices in the Argand diagram is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "c", "comment": { "@type": "Comment", "text": "

The triangle formed by the points 1, (1 + i)/√2 and i as vertices in the Argand diagram is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The solution of y'- y = 1, y(0) = 1 is given by y (x)

" },"encodingFormat": "text/html","text": "

The solution of y'- y = 1, y(0) = 1 is given by y (x)

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

-ex

", "comment": { "@type": "Comment", "text": "

The solution of y'- y = 1, y(0) = 1 is given by y (x)

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

-e-x

", "comment": { "@type": "Comment", "text": "

The solution of y'- y = 1, y(0) = 1 is given by y (x)

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

-1

", "comment": { "@type": "Comment", "text": "

The solution of y'- y = 1, y(0) = 1 is given by y (x)

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

2ex - 1

", "comment": { "@type": "Comment", "text": "

The solution of y'- y = 1, y(0) = 1 is given by y (x)

" }}],"acceptedAnswer": { "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "d", "comment": { "@type": "Comment", "text": "

The solution of y'- y = 1, y(0) = 1 is given by y (x)

" }, "answerExplanation": { "@type": "Comment", "text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (8)

." }}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

At x=3, (d/dx)[|x-1|+|x-5|]=

" },"encodingFormat": "text/html","text": "

At x=3, (d/dx)[|x-1|+|x-5|]=

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

-2

", "comment": { "@type": "Comment", "text": "

At x=3, (d/dx)[|x-1|+|x-5|]=

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

", "comment": { "@type": "Comment", "text": "

At x=3, (d/dx)[|x-1|+|x-5|]=

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

2

", "comment": { "@type": "Comment", "text": "

At x=3, (d/dx)[|x-1|+|x-5|]=

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

4

", "comment": { "@type": "Comment", "text": "

At x=3, (d/dx)[|x-1|+|x-5|]=

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

At x=3, (d/dx)[|x-1|+|x-5|]=

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The value of n ∈I for which the function f(x) = sinnx/sin(x/n) has 4π as its period is

" },"encodingFormat": "text/html","text": "

The value of n ∈I for which the function f(x) = sinnx/sin(x/n) has 4π as its period is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

2

", "comment": { "@type": "Comment", "text": "

The value of n ∈I for which the function f(x) = sinnx/sin(x/n) has 4π as its period is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

3

", "comment": { "@type": "Comment", "text": "

The value of n ∈I for which the function f(x) = sinnx/sin(x/n) has 4π as its period is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

5

", "comment": { "@type": "Comment", "text": "

The value of n ∈I for which the function f(x) = sinnx/sin(x/n) has 4π as its period is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

4

", "comment": { "@type": "Comment", "text": "

The value of n ∈I for which the function f(x) = sinnx/sin(x/n) has 4π as its period is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

The value of n ∈I for which the function f(x) = sinnx/sin(x/n) has 4π as its period is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

Which of the following is not a statement ?

" },"encodingFormat": "text/html","text": "

Which of the following is not a statement ?

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

Every set is a finite set .

", "comment": { "@type": "Comment", "text": "

Which of the following is not a statement ?

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

8 is less than 6.

", "comment": { "@type": "Comment", "text": "

Which of the following is not a statement ?

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Where are you going ?

", "comment": { "@type": "Comment", "text": "

Which of the following is not a statement ?

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

The sum of interior angles of a triangle is 180 degree.

", "comment": { "@type": "Comment", "text": "

Which of the following is not a statement ?

" }}],"acceptedAnswer": { "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "c", "comment": { "@type": "Comment", "text": "

Which of the following is not a statement ?

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): If k is odd, then kCr is maximum for r equal to JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (9)
Reason(R): The number of combinations of n distinct objects taken r at a time is given by JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (10)

" },"encodingFormat": "text/html","text": "

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): If k is odd, then kCr is maximum for r equal to JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (11)
Reason(R): The number of combinations of n distinct objects taken r at a time is given by JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (12)

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

Both Assertion and Reason are true and Reason is the correct explanation of assertion.

", "comment": { "@type": "Comment", "text": "

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): If k is odd, then kCr is maximum for r equal to JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (13)
Reason(R): The number of combinations of n distinct objects taken r at a time is given by JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (14)

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Both Assertion and Reason are true and Reason is not the correct explanation of assertion.

", "comment": { "@type": "Comment", "text": "

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): If k is odd, then kCr is maximum for r equal to JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (15)
Reason(R): The number of combinations of n distinct objects taken r at a time is given by JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (16)

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Assertion is true but Reason is false.

", "comment": { "@type": "Comment", "text": "

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): If k is odd, then kCr is maximum for r equal to JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (17)
Reason(R): The number of combinations of n distinct objects taken r at a time is given by JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (18)

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

Assertion is false but Reason is true.

", "comment": { "@type": "Comment", "text": "

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): If k is odd, then kCr is maximum for r equal to JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (19)
Reason(R): The number of combinations of n distinct objects taken r at a time is given by JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (20)

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): If k is odd, then kCr is maximum for r equal to JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (21)
Reason(R): The number of combinations of n distinct objects taken r at a time is given by JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (22)

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

Let E be the ellipse x2/ 9 + y2/ 4 = 1 and C be the circle x2+ y2= 9. Let P and Q be the points (1, 2) and (2, 1), respectively. Then

" },"encodingFormat": "text/html","text": "

Let E be the ellipse x2/ 9 + y2/ 4 = 1 and C be the circle x2+ y2= 9. Let P and Q be the points (1, 2) and (2, 1), respectively. Then

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

Q lies inside C but outside E

", "comment": { "@type": "Comment", "text": "

Let E be the ellipse x2/ 9 + y2/ 4 = 1 and C be the circle x2+ y2= 9. Let P and Q be the points (1, 2) and (2, 1), respectively. Then

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Q lies outside both C and E

", "comment": { "@type": "Comment", "text": "

Let E be the ellipse x2/ 9 + y2/ 4 = 1 and C be the circle x2+ y2= 9. Let P and Q be the points (1, 2) and (2, 1), respectively. Then

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

P lies inside both C and E

", "comment": { "@type": "Comment", "text": "

Let E be the ellipse x2/ 9 + y2/ 4 = 1 and C be the circle x2+ y2= 9. Let P and Q be the points (1, 2) and (2, 1), respectively. Then

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

P lies inside C but outside E

", "comment": { "@type": "Comment", "text": "

Let E be the ellipse x2/ 9 + y2/ 4 = 1 and C be the circle x2+ y2= 9. Let P and Q be the points (1, 2) and (2, 1), respectively. Then

" }}],"acceptedAnswer": { "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "d", "comment": { "@type": "Comment", "text": "

Let E be the ellipse x2/ 9 + y2/ 4 = 1 and C be the circle x2+ y2= 9. Let P and Q be the points (1, 2) and (2, 1), respectively. Then

" }, "answerExplanation": { "@type": "Comment", "text": "

The given ellipse is [x2/ 9] + [y2/ 4] = 1. The value of the expression [x2/ 9] + [y2/ 4] – 1 is positive for x = 1, y = 2 and negative for x = 2, y = 1. Therefore, P lies outside E and Q lies inside E. The value of the expression x2+ y2– 9 is negative for both the points P and Q. Therefore, P and Q both lie inside C. Hence, P lies inside C but outside E.

." }}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

If A is a square matrix such that A2 = A, then det equals :

" },"encodingFormat": "text/html","text": "

If A is a square matrix such that A2 = A, then det equals :

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

0 or 1

", "comment": { "@type": "Comment", "text": "

If A is a square matrix such that A2 = A, then det equals :

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

-2 or 2

", "comment": { "@type": "Comment", "text": "

If A is a square matrix such that A2 = A, then det equals :

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

-3 or 3

", "comment": { "@type": "Comment", "text": "

If A is a square matrix such that A2 = A, then det equals :

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

none of these

", "comment": { "@type": "Comment", "text": "

If A is a square matrix such that A2 = A, then det equals :

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

If A is a square matrix such that A2 = A, then det equals :

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The line y=mx+c touches the parabola x2=4ay if

" },"encodingFormat": "text/html","text": "

The line y=mx+c touches the parabola x2=4ay if

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

c=-am

", "comment": { "@type": "Comment", "text": "

The line y=mx+c touches the parabola x2=4ay if

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

c=-a/m

", "comment": { "@type": "Comment", "text": "

The line y=mx+c touches the parabola x2=4ay if

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

c=-am2

", "comment": { "@type": "Comment", "text": "

The line y=mx+c touches the parabola x2=4ay if

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

c=a/m2

", "comment": { "@type": "Comment", "text": "

The line y=mx+c touches the parabola x2=4ay if

" }}],"acceptedAnswer": { "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "c", "comment": { "@type": "Comment", "text": "

The line y=mx+c touches the parabola x2=4ay if

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?

" },"encodingFormat": "text/html","text": "

How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

60

", "comment": { "@type": "Comment", "text": "

How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

12

", "comment": { "@type": "Comment", "text": "

How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

120

", "comment": { "@type": "Comment", "text": "

How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

24

", "comment": { "@type": "Comment", "text": "

How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?

" }, "answerExplanation": { "@type": "Comment", "text": "The no. is divisible by 5 iff it's unit digit is 0 or 5 but we have only 5 so for unit digit 1 way.
the no. is in b/w 3000&4000 so the no. start with 3 as 1 way
now we have 4 more digit which will be put in 4 and 3 ways to avoid repitition.
total no.is 1×4×3×1=12." }}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

In a Poisson distribution mean is 16, then S.D. is

" },"encodingFormat": "text/html","text": "

In a Poisson distribution mean is 16, then S.D. is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

16

", "comment": { "@type": "Comment", "text": "

In a Poisson distribution mean is 16, then S.D. is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

256

", "comment": { "@type": "Comment", "text": "

In a Poisson distribution mean is 16, then S.D. is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

128

", "comment": { "@type": "Comment", "text": "

In a Poisson distribution mean is 16, then S.D. is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

4

", "comment": { "@type": "Comment", "text": "

In a Poisson distribution mean is 16, then S.D. is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "d", "comment": { "@type": "Comment", "text": "

In a Poisson distribution mean is 16, then S.D. is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

In a bivariate data ∑x = 30, ∑y = 400, ∑x2 = 196, ∑xy = 850 and n = 10. The regression co-efficient of y on x is

" },"encodingFormat": "text/html","text": "

In a bivariate data ∑x = 30, ∑y = 400, ∑x2 = 196, ∑xy = 850 and n = 10. The regression co-efficient of y on x is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

-3.1

", "comment": { "@type": "Comment", "text": "

In a bivariate data ∑x = 30, ∑y = 400, ∑x2 = 196, ∑xy = 850 and n = 10. The regression co-efficient of y on x is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

-3.2

", "comment": { "@type": "Comment", "text": "

In a bivariate data ∑x = 30, ∑y = 400, ∑x2 = 196, ∑xy = 850 and n = 10. The regression co-efficient of y on x is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

-3.3

", "comment": { "@type": "Comment", "text": "

In a bivariate data ∑x = 30, ∑y = 400, ∑x2 = 196, ∑xy = 850 and n = 10. The regression co-efficient of y on x is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

-3.4

", "comment": { "@type": "Comment", "text": "

In a bivariate data ∑x = 30, ∑y = 400, ∑x2 = 196, ∑xy = 850 and n = 10. The regression co-efficient of y on x is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "c", "comment": { "@type": "Comment", "text": "

In a bivariate data ∑x = 30, ∑y = 400, ∑x2 = 196, ∑xy = 850 and n = 10. The regression co-efficient of y on x is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The perpendicular distance of a line 12x+5y=7 from the origin is

" },"encodingFormat": "text/html","text": "

The perpendicular distance of a line 12x+5y=7 from the origin is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

5/13

", "comment": { "@type": "Comment", "text": "

The perpendicular distance of a line 12x+5y=7 from the origin is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

7/13

", "comment": { "@type": "Comment", "text": "

The perpendicular distance of a line 12x+5y=7 from the origin is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

6/13

", "comment": { "@type": "Comment", "text": "

The perpendicular distance of a line 12x+5y=7 from the origin is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

13/7

", "comment": { "@type": "Comment", "text": "

The perpendicular distance of a line 12x+5y=7 from the origin is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

The perpendicular distance of a line 12x+5y=7 from the origin is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The radius of the circle in which the sphere x2 + y2 + z2 + 2x - 2y - 4z - 19 = 0 is cut by the plane x + 2y + 2z + 7 = 0, is

" },"encodingFormat": "text/html","text": "

The radius of the circle in which the sphere x2 + y2 + z2 + 2x - 2y - 4z - 19 = 0 is cut by the plane x + 2y + 2z + 7 = 0, is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

2

", "comment": { "@type": "Comment", "text": "

The radius of the circle in which the sphere x2 + y2 + z2 + 2x - 2y - 4z - 19 = 0 is cut by the plane x + 2y + 2z + 7 = 0, is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

3

", "comment": { "@type": "Comment", "text": "

The radius of the circle in which the sphere x2 + y2 + z2 + 2x - 2y - 4z - 19 = 0 is cut by the plane x + 2y + 2z + 7 = 0, is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

4

", "comment": { "@type": "Comment", "text": "

The radius of the circle in which the sphere x2 + y2 + z2 + 2x - 2y - 4z - 19 = 0 is cut by the plane x + 2y + 2z + 7 = 0, is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

1

", "comment": { "@type": "Comment", "text": "

The radius of the circle in which the sphere x2 + y2 + z2 + 2x - 2y - 4z - 19 = 0 is cut by the plane x + 2y + 2z + 7 = 0, is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

The radius of the circle in which the sphere x2 + y2 + z2 + 2x - 2y - 4z - 19 = 0 is cut by the plane x + 2y + 2z + 7 = 0, is

" }, "answerExplanation": { "@type": "Comment", "text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (23)

." }}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The angle at which the two curves x3-3xy2=4 and 3x2y-y3=4 intersect is

" },"encodingFormat": "text/html","text": "

The angle at which the two curves x3-3xy2=4 and 3x2y-y3=4 intersect is

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

π/2

", "comment": { "@type": "Comment", "text": "

The angle at which the two curves x3-3xy2=4 and 3x2y-y3=4 intersect is

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

π/4

", "comment": { "@type": "Comment", "text": "

The angle at which the two curves x3-3xy2=4 and 3x2y-y3=4 intersect is

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

π/6

", "comment": { "@type": "Comment", "text": "

The angle at which the two curves x3-3xy2=4 and 3x2y-y3=4 intersect is

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

", "comment": { "@type": "Comment", "text": "

The angle at which the two curves x3-3xy2=4 and 3x2y-y3=4 intersect is

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

The angle at which the two curves x3-3xy2=4 and 3x2y-y3=4 intersect is

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The points whose position vectors are 2i+3j+4k, 3i+4j+2k, 4i+2j+3k, then they are

" },"encodingFormat": "text/html","text": "

The points whose position vectors are 2i+3j+4k, 3i+4j+2k, 4i+2j+3k, then they are

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

vertices of right angled triangle

", "comment": { "@type": "Comment", "text": "

The points whose position vectors are 2i+3j+4k, 3i+4j+2k, 4i+2j+3k, then they are

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

vertices of an isosceles triangle

", "comment": { "@type": "Comment", "text": "

The points whose position vectors are 2i+3j+4k, 3i+4j+2k, 4i+2j+3k, then they are

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

vertices of an equilateral triangle

", "comment": { "@type": "Comment", "text": "

The points whose position vectors are 2i+3j+4k, 3i+4j+2k, 4i+2j+3k, then they are

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

collinear

", "comment": { "@type": "Comment", "text": "

The points whose position vectors are 2i+3j+4k, 3i+4j+2k, 4i+2j+3k, then they are

" }}],"acceptedAnswer": { "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "c", "comment": { "@type": "Comment", "text": "

The points whose position vectors are 2i+3j+4k, 3i+4j+2k, 4i+2j+3k, then they are

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

If cosA=(3/4) then 32 sin(A/2) cos(5A/2)=

" },"encodingFormat": "text/html","text": "

If cosA=(3/4) then 32 sin(A/2) cos(5A/2)=

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

√7

", "comment": { "@type": "Comment", "text": "

If cosA=(3/4) then 32 sin(A/2) cos(5A/2)=

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

-√7

", "comment": { "@type": "Comment", "text": "

If cosA=(3/4) then 32 sin(A/2) cos(5A/2)=

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

7

", "comment": { "@type": "Comment", "text": "

If cosA=(3/4) then 32 sin(A/2) cos(5A/2)=

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

-7

", "comment": { "@type": "Comment", "text": "

If cosA=(3/4) then 32 sin(A/2) cos(5A/2)=

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

If cosA=(3/4) then 32 sin(A/2) cos(5A/2)=

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

If the modulus of a is 5 in the direction of north-east and the modulus of b is 5 in the direction of north-west, then |a-b|=

" },"encodingFormat": "text/html","text": "

If the modulus of a is 5 in the direction of north-east and the modulus of b is 5 in the direction of north-west, then |a-b|=

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

25

", "comment": { "@type": "Comment", "text": "

If the modulus of a is 5 in the direction of north-east and the modulus of b is 5 in the direction of north-west, then |a-b|=

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

5

", "comment": { "@type": "Comment", "text": "

If the modulus of a is 5 in the direction of north-east and the modulus of b is 5 in the direction of north-west, then |a-b|=

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

7√3

", "comment": { "@type": "Comment", "text": "

If the modulus of a is 5 in the direction of north-east and the modulus of b is 5 in the direction of north-west, then |a-b|=

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

5√2

", "comment": { "@type": "Comment", "text": "

If the modulus of a is 5 in the direction of north-east and the modulus of b is 5 in the direction of north-west, then |a-b|=

" }}],"acceptedAnswer": { "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "d", "comment": { "@type": "Comment", "text": "

If the modulus of a is 5 in the direction of north-east and the modulus of b is 5 in the direction of north-west, then |a-b|=

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (24)

" },"encodingFormat": "text/html","text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (25)

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

0⋅250·25

", "comment": { "@type": "Comment", "text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (26)

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

2⋅52·5

", "comment": { "@type": "Comment", "text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (27)

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

5⋅25·2

", "comment": { "@type": "Comment", "text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (28)

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

0⋅520·52

", "comment": { "@type": "Comment", "text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (29)

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (30)

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The value of JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (31)

" },"encodingFormat": "text/html","text": "

The value of JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (32)

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

−12−12

", "comment": { "@type": "Comment", "text": "

The value of JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (33)

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

1212

", "comment": { "@type": "Comment", "text": "

The value of JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (34)

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

1

", "comment": { "@type": "Comment", "text": "

The value of JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (35)

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

-1

", "comment": { "@type": "Comment", "text": "

The value of JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (36)

" }}],"acceptedAnswer": { "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "b", "comment": { "@type": "Comment", "text": "

The value of JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (37)

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

In the following questions, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the statements carefully and mark the correct answer -
Assertion (A): Sum of n AM's between a and b isJEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (38)
Reason (R): If Snbe the sum of n terms of an AP whose first term is a and last term is l, then Sn=n2n2(a + l).

" },"encodingFormat": "text/html","text": "

In the following questions, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the statements carefully and mark the correct answer -
Assertion (A): Sum of n AM's between a and b isJEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (39)
Reason (R): If Snbe the sum of n terms of an AP whose first term is a and last term is l, then Sn=n2n2(a + l).

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

Both Assertion and Reason are true and Reason is the correct explanation of Assertion.

", "comment": { "@type": "Comment", "text": "

In the following questions, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the statements carefully and mark the correct answer -
Assertion (A): Sum of n AM's between a and b isJEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (40)
Reason (R): If Snbe the sum of n terms of an AP whose first term is a and last term is l, then Sn=n2n2(a + l).

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.

", "comment": { "@type": "Comment", "text": "

In the following questions, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the statements carefully and mark the correct answer -
Assertion (A): Sum of n AM's between a and b isJEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (41)
Reason (R): If Snbe the sum of n terms of an AP whose first term is a and last term is l, then Sn=n2n2(a + l).

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

Assertion is true but Reason is false

", "comment": { "@type": "Comment", "text": "

In the following questions, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the statements carefully and mark the correct answer -
Assertion (A): Sum of n AM's between a and b isJEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (42)
Reason (R): If Snbe the sum of n terms of an AP whose first term is a and last term is l, then Sn=n2n2(a + l).

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

Assertion is false but Reason is true

", "comment": { "@type": "Comment", "text": "

In the following questions, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the statements carefully and mark the correct answer -
Assertion (A): Sum of n AM's between a and b isJEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (43)
Reason (R): If Snbe the sum of n terms of an AP whose first term is a and last term is l, then Sn=n2n2(a + l).

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

In the following questions, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the statements carefully and mark the correct answer -
Assertion (A): Sum of n AM's between a and b isJEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (44)
Reason (R): If Snbe the sum of n terms of an AP whose first term is a and last term is l, then Sn=n2n2(a + l).

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

If A and B are square matrices of equal degree, then which one is correct among the following ?

" },"encodingFormat": "text/html","text": "

If A and B are square matrices of equal degree, then which one is correct among the following ?

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

A+B=B+A

", "comment": { "@type": "Comment", "text": "

If A and B are square matrices of equal degree, then which one is correct among the following ?

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

A+B=A-B

", "comment": { "@type": "Comment", "text": "

If A and B are square matrices of equal degree, then which one is correct among the following ?

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

A-B=B-A

", "comment": { "@type": "Comment", "text": "

If A and B are square matrices of equal degree, then which one is correct among the following ?

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

AB=BA

", "comment": { "@type": "Comment", "text": "

If A and B are square matrices of equal degree, then which one is correct among the following ?

" }}],"acceptedAnswer": { "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "a", "comment": { "@type": "Comment", "text": "

If A and B are square matrices of equal degree, then which one is correct among the following ?

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

If the function f(x) = 2x³ - 9ax² + 12a²x + 1, where a > 0, attains its max. and min. at p and q respectively such that p² = q then a equal

" },"encodingFormat": "text/html","text": "

If the function f(x) = 2x³ - 9ax² + 12a²x + 1, where a > 0, attains its max. and min. at p and q respectively such that p² = q then a equal

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

1/2

", "comment": { "@type": "Comment", "text": "

If the function f(x) = 2x³ - 9ax² + 12a²x + 1, where a > 0, attains its max. and min. at p and q respectively such that p² = q then a equal

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

1

", "comment": { "@type": "Comment", "text": "

If the function f(x) = 2x³ - 9ax² + 12a²x + 1, where a > 0, attains its max. and min. at p and q respectively such that p² = q then a equal

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

2

", "comment": { "@type": "Comment", "text": "

If the function f(x) = 2x³ - 9ax² + 12a²x + 1, where a > 0, attains its max. and min. at p and q respectively such that p² = q then a equal

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

3

", "comment": { "@type": "Comment", "text": "

If the function f(x) = 2x³ - 9ax² + 12a²x + 1, where a > 0, attains its max. and min. at p and q respectively such that p² = q then a equal

" }}],"acceptedAnswer": { "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "c", "comment": { "@type": "Comment", "text": "

If the function f(x) = 2x³ - 9ax² + 12a²x + 1, where a > 0, attains its max. and min. at p and q respectively such that p² = q then a equal

" },}},{"@type": "Question","typicalAgeRange": "4-35","educationalLevel": "intermediate","eduQuestionType": "Multiple choice","learningResourceType": "Practice problem","name": "Recollect the concept of JEE Main Practice Test- 19 to solve the ques", "comment": { "@type": "Comment", "text": "

The product of n positive numbers is unity, then their sum is :

" },"encodingFormat": "text/html","text": "

The product of n positive numbers is unity, then their sum is :

","suggestedAnswer": [{ "@type": "Answer", "position": 0, "encodingFormat": "text/html", "text": "

a positive integer

", "comment": { "@type": "Comment", "text": "

The product of n positive numbers is unity, then their sum is :

" }},{ "@type": "Answer", "position": 1, "encodingFormat": "text/html", "text": "

divisible by n

", "comment": { "@type": "Comment", "text": "

The product of n positive numbers is unity, then their sum is :

" }},{ "@type": "Answer", "position": 2, "encodingFormat": "text/html", "text": "

equal to n+1/n

", "comment": { "@type": "Comment", "text": "

The product of n positive numbers is unity, then their sum is :

" }},{ "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "

never less than n

", "comment": { "@type": "Comment", "text": "

The product of n positive numbers is unity, then their sum is :

" }}],"acceptedAnswer": { "@type": "Answer", "position": 3, "encodingFormat": "text/html", "text": "d", "comment": { "@type": "Comment", "text": "

The product of n positive numbers is unity, then their sum is :

" }, "answerExplanation": { "@type": "Comment", "text": "

Let a1, a2, a3…an be the positive numbers.

Product => a1a2..an = 1

We know that AM ≥ GM

(a1+a2+…an)/n ≥ (a1a2..an)1/n

(a1+a2+…an)/n ≥ 1

(a1+a2+…an) ≥ n

So the sum is never less than n.

." }}}] }]

JEE Exam>JEE Tests>JEE Main Practice Test- 19 - JEE MCQ


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90 Questions MCQ Test - JEE Main Practice Test- 19

JEE Main Practice Test- 19 for JEE 2024 is part of JEE preparation. The JEE Main Practice Test- 19 questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Practice Test- 19 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Main Practice Test- 19 below.

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JEE Main Practice Test- 19 - Question 1

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Which one of the following is not made of soft iron

JEE Main Practice Test- 19 - Question 2

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The long wavelength limit of Lyman series is

JEE Main Practice Test- 19 - Question 3

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Two particles having mass M and m are moving in a circular having radius R and r. If their time periods are same then the radio of angular velocity will be

JEE Main Practice Test- 19 - Question 4

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If A is the mass no. of an element, then volume of the nucleus of an atom of this element is proportional to

JEE Main Practice Test- 19 - Question 5

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When X-rays pass through a strong uniform magnetic field, then they

JEE Main Practice Test- 19 - Question 6

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The r.m.s. value of an a.c. of 50 Hz is 10A. The time taken by a.c. in reaching from zero to maximum value and the peak value of current will be

Detailed Solution for JEE Main Practice Test- 19 - Question 6

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (51)

JEE Main Practice Test- 19 - Question 7

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An electric dipole is placed along the X-axis at the origin O. A point P is at a distance of 20 cm from this origin such that OP makes an angle π/3 with the X axis. If electric field at P makes an angle θ with X-axis, the value of θ is

Detailed Solution for JEE Main Practice Test- 19 - Question 7

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (53)
JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (54)

JEE Main Practice Test- 19 - Question 8

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A ball of wt. 0.1 kg coming with speed 30 m/s strikes with a bat and returns in opposite direction with speed 40 m/s, then impulse is

JEE Main Practice Test- 19 - Question 9

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Electric field at the centroid of a triangle carrying q charge at each corner is

JEE Main Practice Test- 19 - Question 10

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A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it, but will break if the mass exceeds 25 kg. What is the maximum acceleration, with which the monkey can climb up along the rope? (Take g = 10 m−s⁻2)

Detailed Solution for JEE Main Practice Test- 19 - Question 10

M(g+a)=250N So a=2.5 ms-²

JEE Main Practice Test- 19 - Question 11

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A galvanometer having a resistance of 8 Ω is shunted by a wire of resistance 2 Ω. If the total current is 1 A, then current passing through the shunt will be

JEE Main Practice Test- 19 - Question 12

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The logic circuit shown below has the input wave forms 'A' and 'B' as shown. Pick out the correct output wave form.
JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (60)

JEE Main Practice Test- 19 - Question 13

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A motor boat of mass 300 kg is standing in water. If the area of the bottom surface is 120 m2, then the boat will exert a pressure of (Take g=10 m-s⁻2)

JEE Main Practice Test- 19 - Question 14

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The function of the moderator in a nuclear reactor is

JEE Main Practice Test- 19 - Question 15

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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): Speed of light in water is less than the speed in air.
Reason(R): Refractive index of water is greater than one .

JEE Main Practice Test- 19 - Question 16

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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): In general magnetic force between two charges is much smaller compared to the electric force .
Reason(R): In general velocity of charges << velocity of light in free space.

JEE Main Practice Test- 19 - Question 17

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For motion in a plane with constant acceleration, a → , initial velocity v 0 → and final velocity ν → after time t, we have

JEE Main Practice Test- 19 - Question 18

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The least coefficient of friction for an inclined plane inclined at angle α with horizontal in order that a solid cylinder will roll down it without slipping is

JEE Main Practice Test- 19 - Question 19

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A measure of the degree of disorder of a system is known as

JEE Main Practice Test- 19 - Question 20

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In young's double slit experiment, the intensity of central maximum is I. It one slit is closed, the intensity at the same place will become

JEE Main Practice Test- 19 - Question 21

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The energy density and pressure have

Detailed Solution for JEE Main Practice Test- 19 - Question 21

'Co-efficient of friction' is a physical quantity that has no unit and no dimensions.
Though energy density and pressuire have the same dimensions, they do not share the same units, hence they are different physical quantities.

JEE Main Practice Test- 19 - Question 22

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In young's double slit experiment, three light, blue, yellow and red are used successively. For which colour, will the fringe width be maximum?

JEE Main Practice Test- 19 - Question 23

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A wavefront is an imaginary surface where

JEE Main Practice Test- 19 - Question 24

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A transverse progressive wave is given by the equation y = 2 cos [π (0.5x - 200t)], where x and y are in cm and t in sec. Which of the following statement is true for this wave

JEE Main Practice Test- 19 - Question 25

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Which one of the following statements is WRONG in the context of X-rays generated from a X-ray tube ?

JEE Main Practice Test- 19 - Question 26

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A condenser is connected across another charged condenser. The energy in the two condenser will be

JEE Main Practice Test- 19 - Question 27

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A tachometer is a device to measure

JEE Main Practice Test- 19 - Question 28

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In an experiment to measure the internal resistance of a cell, by a potentiometer, it is found that the balance point is at a length of 2 m, when the cell is shunted by a 5 Ω resistance and is at a length of 3m when the cell is shunted by a 10 Ω resistance. The internal resistance of the cell is

Detailed Solution for JEE Main Practice Test- 19 - Question 28

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (85)

JEE Main Practice Test- 19 - Question 29

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The figure to the right shows an edge-on view of three extremely large, parallel insulating sheets positively charged with uniform and identical surface charge densities. In which of the regions shown is the electric field a maximum?
JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (87)

JEE Main Practice Test- 19 - Question 30

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Cathode rays enter into a uniform magnetic field perpendicular to the direction of the field. In the magnetic field their path will be

JEE Main Practice Test- 19 - Question 31

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Methanol is manufactured by

JEE Main Practice Test- 19 - Question 32

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1-Phenylethanol can be prepared by reaction of benzaldehyde with

JEE Main Practice Test- 19 - Question 33

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Pick out the unsaturated fatty acid from the following

JEE Main Practice Test- 19 - Question 34

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At certain temperature, 50% of HI is dissociated into H2 and I2, the equilibrium constant is

Detailed Solution for JEE Main Practice Test- 19 - Question 34

Let the entire reaction take place in a vessel of Volume V

Given the equation

2HI= I2 + H2

Here let initial moles of HI=N. Moles vanished=y

So at time=0 N= 0 0

At time =t

N-2y= y y

Given 50% of HI dissociates. So conc. of HI left=50%

So we can say

N-2y=50%of N

N-2y=N/2

2y=N-N/2

y=N/4

[I2] =N/4V=[H2]

[HI] =N/2V

So Kc=[I2].[H2]/[HI]^2

Kc=(N^2/16)/(N^2/4) =(N^2x4)/(N^2x16) =4/16 =0.25

JEE Main Practice Test- 19 - Question 35

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For the first order reaction with rate constant k, which expression gives the half-life period? (Initial conc. = a)

JEE Main Practice Test- 19 - Question 36

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The element with highest electron affinity among the halogens is

Detailed Solution for JEE Main Practice Test- 19 - Question 36

As we move from Cl to I, the electron affinity becomes less due to a corresponding increase in their atomic radii. The electron affinity of F is, however, unexpectedly less than that of Cl, because due to its small size, there are electron-electron repulsions in the relatively compact 2p-subshell.

JEE Main Practice Test- 19 - Question 37

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Variation of heat of reaction with temperature is known as

JEE Main Practice Test- 19 - Question 38

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The shape of cuprammonium ion is

JEE Main Practice Test- 19 - Question 39

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Dye test can be used to distinguish between

JEE Main Practice Test- 19 - Question 40

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Two platinum electrodes were immersed in a solution of CuSO₄ and electric current was passed through the solution. After sometimes it was found that colour of CuSO₄ disappeared with evolution of gas at the electrode. The colourless solution contains

JEE Main Practice Test- 19 - Question 41

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The hydroxide ion concentration of a wine is 8´10–11M. What is the pH of the wine?

Detailed Solution for JEE Main Practice Test- 19 - Question 41

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (100)

JEE Main Practice Test- 19 - Question 42

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The pH of 10 M HCl aqueous solution is

JEE Main Practice Test- 19 - Question 43

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The compound whose 0.1 M solutions is basic is

JEE Main Practice Test- 19 - Question 44

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The compound whose water solution has the highest pH is

JEE Main Practice Test- 19 - Question 45

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The dissociation constant is highest for

Detailed Solution for JEE Main Practice Test- 19 - Question 45

The dissociation constant is highest for Phenol (C6H5OH). This result can be obtained from the fact that dissociation constant is higher for reactions in which more products are obtained, or the products are more stable.

JEE Main Practice Test- 19 - Question 46

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The order of decreasing ease of reaction with ammonia is

JEE Main Practice Test- 19 - Question 47

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Which is not the primary carbocation?

JEE Main Practice Test- 19 - Question 48

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Ethane is obtained from ethylene by which of the following methods?

JEE Main Practice Test- 19 - Question 49

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An element (atomic mass = 100 g/mol) having bcc structure has unit cell edge 400 pm. The density of the element is

JEE Main Practice Test- 19 - Question 50

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Zn converts its melting state to its solid state, it has HCP structure, then find out the nearest number of atoms

JEE Main Practice Test- 19 - Question 51

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A solute is soluble in two immiscible liquids which are present in the mixture. The concentration of the solute in the upper layer will be

JEE Main Practice Test- 19 - Question 52

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An example of natural biopolymer is

JEE Main Practice Test- 19 - Question 53

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Identify the mixture that shows positive deviations from Raoult's law

JEE Main Practice Test- 19 - Question 54

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Which of the following is formed when alkyne reacts with water in the presence of sulphuric acid and mercurous acid?

JEE Main Practice Test- 19 - Question 55

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The radius of which of the following orbit is same as that of the Bohr's first orbit of hydrogen atom?

JEE Main Practice Test- 19 - Question 56

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Which of the following electronic transition in a hydrogen atom will require the largest amount of energy?

Detailed Solution for JEE Main Practice Test- 19 - Question 56

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (120)

JEE Main Practice Test- 19 - Question 57

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The enthalpies of combustion of carbon and carbon monoxide are -393.5 and -283kJ-mol⁻1 respectively. The enthalpy of formation of carbon monoxide is

JEE Main Practice Test- 19 - Question 58

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For a second order reaction, the time required for half change is _

Detailed Solution for JEE Main Practice Test- 19 - Question 58

For a second order reaction.
where a = b

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (123)

JEE Main Practice Test- 19 - Question 59

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If the length of CO bond in carbon monoxide is 1.128Å, then what is the value of CO bond length in Fe(CO)5?

Detailed Solution for JEE Main Practice Test- 19 - Question 59

Due to synergic bond formation between metal and CO, the bond order of CO decreases

JEE Main Practice Test- 19 - Question 60

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If nitrogen and sulphur both are present in an organic compound, then during the Lassaigne's test, both will change into

JEE Main Practice Test- 19 - Question 61

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220 cannot be the sum of the first n cubes for a suitable n, because 220 is :

Detailed Solution for JEE Main Practice Test- 19 - Question 61

Sum of n cubes is equal to the square (n+1) square by4

n sq .(n+1) square\4=220

n square.(n+1) square=4×220

here n square can be 4

(n+1) square cannot be equal to 220

Hence b option is correct.

JEE Main Practice Test- 19 - Question 62

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If 'n' is a positive integer, then n3 + 2n is divisible by

JEE Main Practice Test- 19 - Question 63

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The area of the region bounded by the curve y = x - x2between x = 0 and x = 1 is

JEE Main Practice Test- 19 - Question 64

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The circle x2 + y2+ 4x + 6y + 3 = 0 and 2(x2+y2) + 6x + 4y + c = 0 will cut orthogonally if c equals

JEE Main Practice Test- 19 - Question 65

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If the circles x2 + y2 = 9 and x + y + 2ax + 2y + 1 = 0 touch each other, then a is

JEE Main Practice Test- 19 - Question 66

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If z₁ and z₂ are two complex numbers, then |z₁ - z₂| =

JEE Main Practice Test- 19 - Question 67

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The triangle formed by the points 1, (1 + i)/√2 and i as vertices in the Argand diagram is

JEE Main Practice Test- 19 - Question 68

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The solution of y'- y = 1, y(0) = 1 is given by y (x)

Detailed Solution for JEE Main Practice Test- 19 - Question 68

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (134)

JEE Main Practice Test- 19 - Question 69

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At x=3, (d/dx)[|x-1|+|x-5|]=

JEE Main Practice Test- 19 - Question 70

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The value of n ∈I for which the function f(x) = sinnx/sin(x/n) has 4π as its period is

JEE Main Practice Test- 19 - Question 71

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Which of the following is not a statement ?

JEE Main Practice Test- 19 - Question 72

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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): If k is odd, then kCr is maximum for r equal to JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (139)
Reason(R): The number of combinations of n distinct objects taken r at a time is given by JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (140)

JEE Main Practice Test- 19 - Question 73

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Let E be the ellipse x2/ 9 + y2/ 4 = 1 and C be the circle x2+ y2= 9. Let P and Q be the points (1, 2) and (2, 1), respectively. Then

Detailed Solution for JEE Main Practice Test- 19 - Question 73

The given ellipse is [x2/ 9] + [y2/ 4] = 1. The value of the expression [x2/ 9] + [y2/ 4] – 1 is positive for x = 1, y = 2 and negative for x = 2, y = 1. Therefore, P lies outside E and Q lies inside E. The value of the expression x2+ y2– 9 is negative for both the points P and Q. Therefore, P and Q both lie inside C. Hence, P lies inside C but outside E.

JEE Main Practice Test- 19 - Question 74

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If A is a square matrix such that A2 = A, then det equals :

JEE Main Practice Test- 19 - Question 75

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The line y=mx+c touches the parabola x2=4ay if

JEE Main Practice Test- 19 - Question 76

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How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?

Detailed Solution for JEE Main Practice Test- 19 - Question 76

The no. is divisible by 5 iff it's unit digit is 0 or 5 but we have only 5 so for unit digit 1 way.
the no. is in b/w 3000&4000 so the no. start with 3 as 1 way
now we have 4 more digit which will be put in 4 and 3 ways to avoid repitition.
total no.is 1×4×3×1=12

JEE Main Practice Test- 19 - Question 77

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In a Poisson distribution mean is 16, then S.D. is

JEE Main Practice Test- 19 - Question 78

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In a bivariate data ∑x = 30, ∑y = 400, ∑x2 = 196, ∑xy = 850 and n = 10. The regression co-efficient of y on x is

JEE Main Practice Test- 19 - Question 79

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The perpendicular distance of a line 12x+5y=7 from the origin is

JEE Main Practice Test- 19 - Question 80

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The radius of the circle in which the sphere x2 + y2 + z2 + 2x - 2y - 4z - 19 = 0 is cut by the plane x + 2y + 2z + 7 = 0, is

Detailed Solution for JEE Main Practice Test- 19 - Question 80

JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (149)

JEE Main Practice Test- 19 - Question 81

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The angle at which the two curves x3-3xy2=4 and 3x2y-y3=4 intersect is

JEE Main Practice Test- 19 - Question 82

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The points whose position vectors are 2i+3j+4k, 3i+4j+2k, 4i+2j+3k, then they are

JEE Main Practice Test- 19 - Question 83

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If cosA=(3/4) then 32 sin(A/2) cos(5A/2)=

JEE Main Practice Test- 19 - Question 84

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If the modulus of a is 5 in the direction of north-east and the modulus of b is 5 in the direction of north-west, then |a-b|=

JEE Main Practice Test- 19 - Question 85

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JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (155)

JEE Main Practice Test- 19 - Question 86

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The value of JEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (157)

JEE Main Practice Test- 19 - Question 87

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In the following questions, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the statements carefully and mark the correct answer -
Assertion (A): Sum of n AM's between a and b isJEE Main Practice Test- 19 Free MCQ Practice Test with Solutions - JEE (159)
Reason (R): If Snbe the sum of n terms of an AP whose first term is a and last term is l, then Sn=n2n2(a + l).

JEE Main Practice Test- 19 - Question 88

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If A and B are square matrices of equal degree, then which one is correct among the following ?

JEE Main Practice Test- 19 - Question 89

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If the function f(x) = 2x³ - 9ax² + 12a²x + 1, where a > 0, attains its max. and min. at p and q respectively such that p² = q then a equal

JEE Main Practice Test- 19 - Question 90

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The product of n positive numbers is unity, then their sum is :

Detailed Solution for JEE Main Practice Test- 19 - Question 90

Let a1, a2, a3…an be the positive numbers.

Product => a1a2..an = 1

We know that AM ≥ GM

(a1+a2+…an)/n ≥ (a1a2..an)1/n

(a1+a2+…an)/n ≥ 1

(a1+a2+…an) ≥ n

So the sum is never less than n.

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