JEE Main Test 110

Result

JEE Main Test 110

Score
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Weekly Quiz Competition

Question 1
4 / -1

If a function f satisfies f {f(x)} = x + 1 for all real values of x and f(0) = 1/2, then f(1) is equal to

A
1 / 2

B
1

C
3 / 2

D
2

Solution
Question 2
4 / -1

Line L has intercepts a and b on the coordinate axes. When the axes are rotated through a given angle, keeping the origin fixed, the same line L has intercepts p and q, then

A
a² + b² = p² + q²

B

C
a² + p² = b² + q²

D

Solution
Question 3
4 / -1

Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw guage has a zero error of –0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is

A
3.32 mm

B
3.73 mm

C
3.67 mm

D
3.38 mm

Solution

Given Least Count L.C = 1/(2×50) = 1/100

Zero error, ZE = 0.03

Main Scale Reading = 3

Circular Scale Reading = 35

Diameter = MSR + CSR × LC – zero error

= 3 + 35 × 1/2 × 50 - (- 0.03) = 3.38 mm.
Question 4
4 / -1

A

B

C

D

Solution
Question 5
4 / -1

The radius of the circle

A
13/12

B
5/12

C
5

D
625

Solution
Question 6
4 / -1

A
45°

B
40°

C
42°

D
48°

Solution
Question 7
4 / -1

A particle of mass m is projected with a velocity v making an angle of 30° with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height h is

A

B
zero

C

D

Solution
Question 8
4 / -1

4.6 x 10²² atoms of an element weigh 13.8 g. The atomic weight of that element is

A
290

B
180

C
34.4

D
10.4

Solution
Question 9
4 / -1

Which of the following is correct for

C(graphite) + O₂ → CO₂ , Heat = - 348 kJ ?

A
Heat absorbed

B
Mass of product > Mass of reactant

C
Mass of product < Mass of reactant

D
Mass of product = Mass of reactant

Solution
Question 10
4 / -1

A block of mass 200 kg is being pulled up by men on an inclined plane at angle of 45° as shown in the figure. The coefficient of static friction is 0.5. Each man can only apply a maximum force of 500 N. Calculate the number of men required for the block to just start moving up the plane.

A
10

B
15

C
5

D
3

Solution