MCQOPTIONS
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MCQOPTIONS
This section includes 14 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find approximate value of e10.19.09, given e90 = 1.22 * 1039. |
| A. | 2.41 * 10<sup>39</sup> |
| B. | 2.42 * 10<sup>39</sup> |
| C. | 2.43 * 10<sup>39</sup> |
| D. | 2.44 * 10<sup>39</sup> |
| Answer» C. 2.43 * 10<sup>39</sup> | |
| 2. |
Find the approximate value of log (11.01-log (10.1)), Given log(10) = 2.30 and and log(8.69) = 2.16, all the log are in base e . |
| A. | 2.1654 |
| B. | 2.1632 |
| C. | 2.1645 |
| D. | 2.1623 |
| Answer» E. | |
| 3. |
Find the approximate value of [0.982+2.012+1.942 ](1 2). |
| A. | 1.96 |
| B. | 2.96 |
| C. | 0.04 |
| D. | -0.04 |
| Answer» C. 0.04 | |
| 4. |
Find the approximate value of (1.04)3.01. |
| A. | 1.14 |
| B. | 1.13 |
| C. | 1.11 |
| D. | 1.12 |
| Answer» E. | |
| 5. |
At a distance of 120ft from the foot of a tower the elevation of its top is 60o. If the possible error in measuring the distance and elevation are 1 inch and 1 minute, find approximate error in calculated height. |
| A. | 0.342 |
| B. | 0.284 |
| C. | 0.154 |
| D. | 0.986 |
| Answer» C. 0.154 | |
| 6. |
The approximate value of function f(x + x, y + y) is? |
| A. | f + <sup> f</sup> <sub> x</sub> dx + <sup> f</sup> <sub> y</sub> dy |
| B. | <sup> f</sup> <sub> x</sub> dx + <sup> f</sup> <sub> y</sub> dy |
| C. | f <sup> f</sup> <sub> x</sub> dx + <sup> f</sup> <sub> y</sub> dy |
| D. | <sup> f</sup> <sub> x</sub> dx <sup> f</sup> <sub> y</sub> dy |
| Answer» B. <sup> f</sup> <sub> x</sub> dx + <sup> f</sup> <sub> y</sub> dy | |
| 7. |
If n resistors of unequal resistances are connected in parallel,and the percenrage error in all resistors are k then,total error in parallel combination is? |
| A. | (x frac{ z}{ x}+y frac{ z}{ y}= frac{x^2+y^2}{x+y} e^{ frac{x^2+y^2}{x+y}} ) |
| B. | (x frac{ z}{ x}+y frac{ z}{ y}=1- frac{x^2+y^2}{x+y} e^{ frac{x^2+y^2}{x+y}} ) |
| C. | (x frac{ z}{ x}+y frac{ z}{ y}=1+ frac{x^2+y^2}{x+y} e^{ frac{x^2+y^2}{x+y}} ) |
| D. | (x frac{ z}{ x}+y frac{ z}{ y}=- frac{x^2+y^2}{x+y} e^{ frac{x^2+y^2}{x+y}} ) |
| Answer» C. (x frac{ z}{ x}+y frac{ z}{ y}=1+ frac{x^2+y^2}{x+y} e^{ frac{x^2+y^2}{x+y}} ) | |
| 8. |
The relative error in the volume of figure having hemispherical ends and a body of right circular cylinder is, if error in radius(r) is 0 and in height(h) is 1. |
| A. | 1/(h + <sup>4</sup> <sub>3</sub> r) |
| B. | 1/(h + <sup>2</sup> <sub>3</sub> r) |
| C. | h/(h + <sup>4</sup> <sub>3</sub> r) |
| D. | r/(h + <sup>4</sup> <sub>3</sub> r) |
| Answer» B. 1/(h + <sup>2</sup> <sub>3</sub> r) | |
| 9. |
The speed of a boat is given by, v = k(1 t at), where k is the constant and l us the distance travel by boat in time t and a is the acceleration of water. If there is an change in l from 2cm to 1cm in time 2sec to 1sec. If the acceleration of water changes from 0.95 mt/sec2 to 2 mt/sec2 find the motion of boat. |
| A. | -2 |
| B. | 2 |
| C. | 0.5 |
| D. | -0.5 |
| Answer» B. 2 | |
| 10. |
Given the kinetic energy of body is T = 1 2 mv2. If the mass of body changes from 100 kg to 100 kg and 500 gm and velocity of a body changes from 1600 mt/sec to 1590 mt/sec. Then find the approximate change in T. |
| A. | 960000 J decrease in value |
| B. | 960000 J increase in value |
| C. | 450000 J decrease in value |
| D. | 450000 J increase in value |
| Answer» B. 960000 J increase in value | |
| 11. |
Magnitude of error can be negative or positive. |
| A. | True |
| B. | False |
| Answer» C. | |
| 12. |
Find the percentage change power in the circuit if error in value of resistor is 1% and that of voltage source is .99%. |
| A. | z should be homogeneous and of order n |
| B. | z should not be homogeneous but of order n |
| C. | z should be implicit |
| D. | z should be the function of x and y only |
| Answer» B. z should not be homogeneous but of order n | |
| 13. |
Relative error in x is? |
| A. | x |
| B. | <sup> x</sup> <sub>x</sub> |
| C. | <sup> x</sup> <sub>x</sub> * 100 |
| D. | 0 |
| Answer» C. <sup> x</sup> <sub>x</sub> * 100 | |
| 14. |
Error is the Uncertainty in measurement. |
| A. | True |
| B. | False |
| Answer» B. False | |