MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The volume of a cube of edge x is increasing at a rate of 12 cm/s. Find the rate of change of edge of the cube when the edge is 6 cm. |
| A. | ( frac{1}{8} ) |
| B. | ( frac{2}{9} ) |
| C. | ( frac{1}{9} ) |
| D. | ( frac{1}{9} ) |
| Answer» E. | |
| 2. |
For which of the values of x, the rate of increase of the function y=3x2-2x+7 is 4 times the rate of increase of x? |
| A. | -1 |
| B. | ( frac{1}{3} ) |
| C. | 1 |
| D. | 0 |
| Answer» D. 0 | |
| 3. |
The length of the rectangle is changing at a rate of 4 cm/s and the area is changing at the rate of 8 cm/s. What will be the rate of change of width if the length is 4cm and the width is 1 cm. |
| A. | 5 cm/s |
| B. | 6 cm/s |
| C. | 2 cm/s |
| D. | 1 cm/s |
| Answer» E. | |
| 4. |
The total cost N(x) in rupees, associated with the production of x units of an item is given by N(x)=0.06x3-0.01x2+10x-43. Find the marginal cost when 5 units are produced. |
| A. | Rs. 1.44 |
| B. | Rs. 144.00 |
| C. | Rs. 14.4 |
| D. | Rs. 56.2 |
| Answer» C. Rs. 14.4 | |
| 5. |
If the circumference of the circle is changing at the rate of 5 cm/s then what will be rate of change of area of the circle if the radius is 6cm. |
| A. | 20 cm<sup>2</sup>/s |
| B. | 40 cm<sup>2</sup>/s |
| C. | 70 cm<sup>2</sup>/s |
| D. | 30 cm<sup>2</sup>/s |
| Answer» E. | |
| 6. |
At what rate will the lateral surface area of the cylinder increase if the radius is increasing at the rate of 2 cm/s when the radius is 5 cm and height is 10 cm? |
| A. | 40 cm/s |
| B. | 40 cm/s |
| C. | 400 cm/s |
| D. | 20 cm/s |
| Answer» C. 400 cm/s | |
| 7. |
The total cost P(x) in rupees associated with a product is given by P(x)=0.4x2+2x-10. Find the marginal cost if the no. of units produced is 5. |
| A. | Rs.3 |
| B. | Rs.4 |
| C. | Rs.5 |
| D. | Rs.6 |
| Answer» E. | |
| 8. |
The rate of change of area of a square is 40 cm2/s. What will be the rate of change of side if the side is 10 cm. |
| A. | 2 cm/s |
| B. | 4 cm/s |
| C. | 8 cm/s |
| D. | 6 cm/s |
| Answer» B. 4 cm/s | |
| 9. |
The edge of a cube is increasing at a rate of 7 cm/s. Find the rate of change of area of the cube when x=6 cm. |
| A. | 578 cm<sup>2</sup>/s |
| B. | 498 cm<sup>2</sup>/s |
| C. | 504 cm<sup>2</sup>/s |
| D. | 688 cm<sup>2</sup>/s |
| Answer» D. 688 cm<sup>2</sup>/s | |
| 10. |
If the rate of change of radius of a circle is 6 cm/s then find the rate of change of area of the circle when r=2 cm. |
| A. | 74.36 cm<sup>2</sup>/s |
| B. | 75.36 cm<sup>2</sup>/s |
| C. | 15.36 cm<sup>2</sup>/s |
| D. | 65.36 cm<sup>2</sup>/s |
| Answer» C. 15.36 cm<sup>2</sup>/s | |