Ques 1Aptitude

Newspapers are a constant source of delight and recreation for me. The _____ trouble is that I read _______ many of them.

a. only, quite
b. even, quite
c. even, too
d. only, too

Ques 2Aptitude

It takes two hours for a person X to mow the lawn. Y can mow the same lawn in four hours. How long (in minutes) will it take X and Y, if they work together to mow the lawn?

a. 120
b. 90
c. 60
d. 80

Ques 3Aptitude

The missing number in the given sequence 343, 1331, _______ 4913 is

a. 2744
b. 2197
c. 3375
d. 4096

Ques 4Aptitude

I am not sure if the bus that has been booked will be able to ______ all the students

a. deteriorate
b. accommodate
c. fill
d. sit

Ques 5Aptitude

The passengers were angry __________ the airline staff about the delay

a. on
b. about
c. with
d. towords

Ques 6Aptitude

Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions where the numerators belong to set X and the denominators belong to set Y. The product of elements having minimum and maximum values in the set Z is ____________.

a. 1/12
b. 1/8
c. 1/6
d. 3/8

Ques 7Aptitude

Consider five people- Mitra, Ganga, Rekha, Lakshmi and Sana, Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga. Which of the following conclusions are true?

1. Lakshmi is taller than Rekha
2. Rekha is shorter than Mita
3. Rekha is taller than Sana
4. Sana is shorter than Ganga

a. 1 only
b. 1 and 3
c. 3 only
d. 2 and 4

Ques 8Aptitude

The ratio of the number of boys and girls who participated in an examination is 4 : 3. The total percentage of candidates who passed the examination is 80 and the percentage of a girls who passed is 90. The percentage of boys who passed is _________.

a. 90.00
b. 80.50
c. 55.50
d. 72.50

Ques 9Aptitude

How many integers are there between 100 and 1000 all of whose digits are even?

a. 100
b. 90
c. 60
d. 80

Ques 10Aptitude

An award-winning study by a group of researchers suggests that men are as prone to buying on impulse as women but women feel more guilty about shopping.
Which one of the following statements can be inferred from the given text?

a. Some men and women indulge in buying on impulse
b. All men and women indulge in buying on impulse
c. Few men and women indulge in buying on impulse
d. Many men and women indulge in buying on impulse

Ques 11Control Systems

The characteristic equation of a linear time-invariant (LTI) system is given by
∆(s) = s⁴+ 3s³+ 3s² + s + k = 0
The system is BIBO stable if

a. 0 < k < 9/8
b. k > 3
c. 0 < k < (9/12)
d. k > 6

Ques 12Control Systems

The open loop transfer function of a unity feedback system is given by G(s)=

πe^0.25s / s

In G(s) plane, the Nyquist plot of G(s) passes through the negative real axis at the point

a. (−1.25, j0)
b. (−0.75, j0)
c. (−0.5, j0)
d. (−1.5, j0)

Ques 13Control Systems

A co-axial cylindrical capacitor shown in Figure (i) has dielectric with relative permittivity ε_r1 = 2. When onefourth portion of the dielectric is replaced with another dielectric of relative permittivity ε_r2 , as shown in Figure
(ii), the capacitance is doubled. The value of ε_r2 is _________.

Ques 14Electrical Machine

A 5 kVA, 50 V/100 V, single-phase transformer has a secondary terminal voltage of 95 V when loaded. The regulation of the transformer is

a. 4.5%
b. 1%
c. 9%
d. 5%

Ques 15Electrical Machine

The parameter of an equivalent circuit of a three-phase induction motor affected by reducing the rms value of the supply voltage at the rated frequency is

Ques 16Electronic Devices

The output voltage of a single-phase full bridge voltage source inverter is controlled by unipolar PWM with one pulse per half cycle. For the fundamental rms component of output voltage to be 75% of DC voltage, the required pulse width in degrees (round off up to one decimal place) is ________.

Ques 17Mathematics

Which one of the following functions is analytic in the region |z| ≤ 1?

a.

z²-1 / z+2

b.

z²-1 / z+0.5

c.

z²-1 / z

d.

z²-1 / z+j0.5

Ques 18Mathematics

The rank of the matrix, M= , is ___________.

Ques 19Mathematics

M is a 2 × 2 matrix with eigenvalues 4 and 9. The eigenvalues of M² are

a. 2 and 3
b. −2 and −3
c. 4 and 9
d. 16 and 81

Ques 20Mathematics

The inverse Laplace transform of H(s) =

s+3 / s²+2s+1

for t ≥ 0 is

a. 3 te^-t+e^-t
b. 2 te^-t+e^-t
c. 4 te^-t+e^-t
d. 3e^-t

Ques 21Mathematics

The partial differential equation

∂²u / ∂t²

-c²

∂²u / ∂x²

+

∂²u / ∂y²

=0; where `c ≠ 0 is known as

a. Poisson’s equation
b. Laplace equation
c. Wave equation
d. heat equation

Ques 22Power Electronics

A six-pulse thyristor bridge rectifier is connected to a balanced three-phase, 50 Hz AC source. Assuming that the DC output current of the rectifier is constant, the lowest harmonic component in the AC input current is

a. 100 Hz
b. 250 Hz
c. 150 Hz
d. 300 Hz

Ques 23Power System

Five alternators each rated 5 MVA, 13.2 kV with 25% of reactance on its own base are connected in parallel to a busbar. The short-circuit level in MVA at the busbar is _________.

Ques 24Signal and Systems

The symbols, a and T, represent positive quantities and u(t) is the unit step function. Which one of the following impulse responses is NOT the output of a causal linear time-invariant system?

a. a^+atu(t)
b. a^-a(t+T)u(t)
c. a^-a(t-T)u(t)
d. 1+a^-atu(t)