Explore topic-wise MCQs in Mathematics.

This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Water is flowing into a right circular conical vessel, 45 cm deep and 27 cm in diameter at the rate of 11 cc per minute. How fast is the water level rising when the water is 30 cm deep?

A. 0.033cm/minute
B. 0.043cm/minute
C. 0.053cm/minute
D. 0.045cm/minute
Answer» C. 0.053cm/minute
Discussion
2.

A particle moving in a straight line covers a distance of x cm in t second, where x = t3 + 6t2 – 15t + 18. When does the particle stop?

A. 1/4 second
B. 1/3 second
C. 1 second
D. 1/2 second
Answer» D. 1/2 second
Discussion
3.

A particle moving in a straight line covers a distance of x cm in t second, where x = t3 + 6t2 – 15t + 18. What will be the acceleration of the particle at the end of 2 seconds?

A. 22cm/sec2
B. 23cm/sec2
C. 24cm/sec2
D. 25cm/sec2
Answer» D. 25cm/sec2
Discussion
4.

A particle moving in a straight line covers a distance of x cm in t second, where x = t3 + 6t2 – 15t + 18. What will be the velocity of the particle at the end of 2 seconds?

A. 20cm/sec
B. 22cm/sec
C. 21cm/sec
D. 23cm/sec
Answer» D. 23cm/sec
Discussion
5.

A ladder 20 ft long leans against a vertical wall. If the top end slides downwards at the rate of 2ft per second, what will be the rate at which the slope of the ladder changes?

A. -19/54
B. -21/54
C. -23/54
D. -25/54
Answer» E.
Discussion
6.

A 5 ft long man walks away from the foot of a 12(½) ft high lamp post at the rate of 3 mph. What will be the rate at which the shadow increases?

A. 0mph
B. 1mph
C. 2mph
D. 3mph
Answer» D. 3mph
Discussion
7.

A solid cube changes its volume such that its shape remains unchanged. For such a cube of unit volume, what will be the value of rate of change of volume?

A. 3/8*(rate of change of area of any face of the cube)
B. 3/4*(rate of change of area of any face of the cube)
C. 3/10*(rate of change of area of any face of the cube)
D. 3/2*(rate of change of area of any face of the cub
E. 3/4*(rate of change of area of any face of the cube)c) 3/10*(rate of change of area of any face of the cube)d) 3/2*(rate of change of area of any face of the cube)
Answer» E. 3/4*(rate of change of area of any face of the cube)c) 3/10*(rate of change of area of any face of the cube)d) 3/2*(rate of change of area of any face of the cube)
Discussion
8.

The time rate of change of the radius of a sphere is 1/2π. When it’s radius is 5cm, what will be the rate of change of the surface of the sphere with time?

A. 10 sq cm
B. 20 sq cm
C. 30 sq cm
D. 40 sq cm
Answer» C. 30 sq cm
Discussion
9.

What will be the value of the co-ordinate whose position of a particle moving along the parabola y2 = 4x at which the rate at of increase of the abscissa is twice the rate of increase of the ordinate?

A. (1, 1)
B. (2, 2)
C. (3, 3)
D. (4, 4)
Answer» E.
Discussion
10.

What will be the average rate of change of the function [y = 16 – x2] at x = 4?

A. -8
B. 8
C. -9
D. Depends on the value of x
Answer» B. 8
Discussion
11.

What will be the average rate of change of the function [y = 16 – x2] between x = 3 and x = 4?

A. 7
B. -7
C. 9
D. -9
Answer» C. 9
Discussion
12.

What will be the differential function of log(x2 + 4)?

A. 2x/(x2 + 4) dx
B. 2x/(x2 – 4) dx
C. -2x/(x2 + 4) dx
D. -2x/(x2 – 4) dx
Answer» B. 2x/(x2 – 4) dx
Discussion
13.

What will be the differential function of √(x2 + 2)?

A. x√(x2 + 2) dx
B. x/√(x2 + 2) dx
C. x/√(x2 – 2) dx
D. -x/√(x2 + 2) dx
Answer» C. x/√(x2 – 2) dx
Discussion
14.

The value of f’(x) is -1 at the point P on a continuous curve y = f(x). What is the angle which the tangent to the curve at P makes with the positive direction of x axis?

A. π/2
B. π/4
C. 3π/4
D. 3π/2
Answer» D. 3π/2
Discussion
15.

What is the slope of the tangent to the curve y = 2x/(x2 + 1) at (0, 0)?

A. 0
B. 1
C. 2
D. 3
Answer» D. 3
Discussion