MCQOPTIONS
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MCQOPTIONS
This section includes 12 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
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 | |
| 2. |
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 | |
| 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 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 | |
| 4. |
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 | |
| 5. |
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 | |
| 6. |
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. | |
| 7. |
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 | |
| 8. |
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 | |
| 9. |
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 | |
| 10. |
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 | |
| 11. |
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 | |
| 12. |
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 | |