Explore topic-wise MCQs in Engineering Mathematics.

This section includes 25 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 * 1039
B. 2.42 * 1039
C. 2.43 * 1039
D. 2.44 * 1039
Answer» C. 2.43 * 1039
Discussion
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.
Discussion
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
Discussion
4.

Find the approximate value of (1.04)3.01.

A. 1.14
B. 1.13
C. 1.11
D. 1.12
Answer» E.
Discussion
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
Discussion
6.

The approximate value of function f(x + δx, y + δy) is?

A. f + ∂f⁄∂x dx + ∂f⁄∂y dy
B. ∂f⁄∂x dx + ∂f⁄∂y dy
C. f – ∂f⁄∂x dx + ∂f⁄∂y dy
D. ∂f⁄∂x dx – ∂f⁄∂y dy
Answer» B. ∂f⁄∂x dx + ∂f⁄∂y dy
Discussion
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. \(x \frac{∂z}{∂x}+y \frac{∂z}{∂y}=1+\frac{x^2+y^2}{x+y} e^{\frac{x^2+y^2}{x+y}}\)
Discussion
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 + 4⁄3 r)
B. 1/(h + 2⁄3 r)
C. h/(h + 4⁄3 r)
D. r/(h + 4⁄3 r)
Answer» B. 1/(h + 2⁄3 r)
Discussion
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
Discussion
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
Discussion
11.

Magnitude of error can be negative or positive.

A. True
B. False
Answer» C.
Discussion
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
Discussion
13.

Relative error in x is?

A. δx
B. δx⁄x
C. δx⁄x * 100
D. 0
Answer» C. δx⁄x * 100
Discussion
14.

Error is the Uncertainty in measurement.

A. True
B. False
Answer» B. False
Discussion
15.

THE_APPROXIMATE_VALUE_OF_FUNCTION_F(X_+_‚ÂÀ√≠¬¨‚Ä¢X,_Y_+_‚ÂÀ√≠¬¨‚Ä¢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>‚Äö√Ñ√∂‚àö‚Ć‚àö√°f</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>‚Äö√Ñ√∂‚àö‚Ć‚àö√°x</sub> dx + <sup>‚Äö√Ñ√∂‚àö‚Ć‚àö√°f</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>‚Äö√Ñ√∂‚àö‚Ć‚àö√°y</sub> dy
Discussion
16.

Find the approximate value of (1.04)3.01$

A. 1.14
B. 1.13
C. 1.11
D. 1.12
Answer» E.
Discussion
17.

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
Discussion
18.

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>
Discussion
19.

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.
Discussion
20.

Find the approximate value of [0.982+2.012+1.942 ](1‚ÅÑ2)$

A. 1.96
B. 2.96
C. 0.04
D. -0.04
Answer» C. 0.04
Discussion
21.

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
Discussion
22.

Given the kinetic energy of body is T = 1‚ÅÑ2 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
Discussion
23.

Magnitude of error can be negative or positive
A. True
B. False
Answer» C.
Discussion
24.

Relative error in x is
A. δx
B. <sup>δx</sup>⁄<sub>x</sub>
C. <sup>δx</sup>⁄<sub>x</sub> * 100
D. 0
Answer» C. <sup>‚âà√≠¬¨‚Ä¢x</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>x</sub> * 100
Discussion
25.

Error is the Uncertainty in measurement
A. True
B. False
Answer» B. False
Discussion