Mock

1. mark review For how many value (s) of x in the closed interval [-4, -1] is the matrix

3 -1+x 2

3 -1 x+2

x+3 -1 2 singular?

Question 1 of 15

2. mark review A particle moves on the X-axis according to the equation x=A+B sin wt. The motion is simple harmonic with amplitude

A+B

√A 2+ B 22

Question 2 of 15

3. mark review Which is not appropriate for adiabatic process?

TVϒ-1=constant

pVϒ=constant

TPϒ-1=constant

TP1-ϒ=constant

Question 3 of 15

4. mark review An elevator and its load have a total mass of 800 kg. The elevator is originally moving downward at 10 m/s, it slows down to stop with constant acceleration in a distance of 25 m. Find the tension T in the supporting cable while the elevator is being brought to rest? (Take g=10 m/s²)

6400 N

9600 N

8000 N

1600 N

Question 4 of 15

5. mark review Statement I: If ƒ(x) =(x - 3)³, then ƒ(x) is neither maximum nor minimum at x=3.

Statement II: ƒ′(x) =0, ƒ′′(x)=0 at x=3

Statement I is true; Statement II is false

Statement I is true; Statement II is true; Statement II is a correct explanation for Statement I.

Statement I is false; Statement II is true.

Statement I is true; Statement II is true; Statement II is not a correct explanation for Statement I.

Question 5 of 15

6. mark review The IUPAC name of Weston is?

1,3,3,3-tetrachloroprop

1,2-dichloroethyne

1,1,2,2-tetrachloroethane

1,1,2,3- tetrachloroethane

Question 6 of 15

7. mark review Regarding conductors in electrostatics which is wrong?

Electric field inside the charged thin conducting shell is always zero

Excess charge given to conductor appears only at the outer surface and charge distributes itself uniformly on the surface

Electric field in the vicinity of surface of conductor may point tangentially

All of the above

Question 7 of 15

8. mark review Dimethyl glyoxime in a suitable solvent was refluxed for 10 min with pure pieces of nickel sheet, it will result in

blue precipitate

yellow precipitate

red precipitate

no precipitate

Question 8 of 15

9. mark review If a particular experiment be given n (a finite) independent trials. If the probability of success in one trial (say) p.

∴ We get probability of failure, q=(1 - p).

The probability of r success in n trials= ⁿC_rp^rq^n-r.

The probability of a man hitting a target in one fire is 1/4. At least n times he must fire at the target thet the chances of hitting the target at least once will exceed 2/3, then n is?

Question 9 of 15

10. mark review A body is suspended from a spring balance kept in a satellite.The reading of the balance is W₁ when the satellite goes in an orbit of radius R and is W₂ when it goes in an orbit of radius 2R.

W 1 < W 2

none of these

W 1 = W 2

W 1 > W 2

Question 10 of 15

11. mark review The equation of the common tangent to the curves y²=8x and xy= -1 is?

2y=x+8

3y=9x+2

y=x+2

y=2x+1

Question 11 of 15

12. mark review If ∫ 2^x/√1 - 4^x dx= k sin^-1(2^x)+c, then k is equal to

1/log 2

1/2 log 2

1/2

log 2

Question 12 of 15

13. mark review The number of solutions of sin²θ+3cosθ=3 in [-π,π], is?

none of these

Question 13 of 15

14. mark review An astronaut accidentally gets separated out of his small spaceship accelerating in interstellar space at a constant rate 100 m/s². What is the acceleration of the astronaut at the instant after he is outside the spaceship? (Neglect effect of gravitation of nearby stars etc).

Zero

50 m/s 2 in any random direction

100 m/s 2 opposite to direction of motion of spaceship

100 m/s 2 along the motion of spaceship

Question 14 of 15

15. mark review If π/2 < θ < 3π/2, then the value of √1 - sinθ/1+sinθ is equal to

none of these

secθ+tanθ

- secθ+tanθ

secθ - tanθ

Question 15 of 15

Test Name	JEE Main Mock Test
Subject	Mock Test
Test Type	MCQs
Total Question	60
Total Marks	120
Total Time	40 Minutes
Test Help For	AIEEE Test. JEE Main Test General Knowledge. Engineering Admission. Architecture Courses. NITs Admissions. IIITs Admissions. Engineering Entry Test. CBSE Board

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