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General Aptitude
Q.1 – Q.5 Carry ONE mark Each
Q.1 Here are two analogous groups, Group-I and Group-II, that list words in their
decreasing order of intensity. Identify the missing word in Group-II.
Group-I: Abuse → Insult → Ridicule
Group-II: ________ → Praise → Appreciate
(A) Extol
(B) Prize
(C) Appropriate
(D) Espouse
Q. 2 Had I learnt acting as a child, I ________ a famous film star.
Select the most appropriate option to complete the above sentence.
(A) will be
(B) can be
(C) am going to be
(D) could have been
Q. 3 The 12 musical notes are given as 𝐶, 𝐶
, and 𝐵.
Frequency of each note is √
2
12
times the frequency of the previous note. If the
frequency of the note C is 130.8 Hz, then the ratio of frequencies of notes 𝐹
and 𝐶
is:
(A)
√ 2
6
(B)
√ 2
(C)
√ 2
4
(D)
2
Q. 5
Which one of the following plots represents 𝑓
( 𝑥
) = −
, where 𝑥 is a non-
zero real number?
Note: The figures shown are representative.
(A)
(B)
(C)
(D)
x
f(x)
x
f(x)
x
f(x)
x
f(x)
Q.6 – Q.10 Carry TWO marks Each
Q. 6 Identify the option that has the most appropriate sequence such that a coherent
paragraph is formed:
P. Over time, such adaptations lead to significant evolutionary changes with
the potential to shape the development of new species.
Q. In natural world, organisms constantly adapt to their environments in
response to challenges and opportunities.
R. This process of adaptation is driven by the principle of natural selection,
where favorable traits increase an organism’s chances of survival and
reproduction.
S. As environments change, organisms that can adapt their behavior, structure
and physiology to such changes are more likely to survive.
(A) P → Q → R → S
(B) Q → S → R → P
(C) R → S → Q → P
(D) S → P → R → Q
Q. 8 Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure
indicates their order of position at the start of the game. They play the game by
moving forward in a circle in the clockwise direction.
After the 1
st
round, 4
th
student behind P leaves the game. After 2
nd
round, 5
th
student
behind Q leaves the game. After 3
rd
round, 3
rd
student behind V leaves the game.
After 4
th
round, 4
th
student behind U leaves the game. Who all are left in the game
after the 4
th
round?
Note: The figure shown is representative.
(A) P; T; Q; S
(B) V; P; T; Q
(C) W; R; Q; V
(D) Q; T; V; W
P
R
T
Q
S
V
U
W
Q. 9 The table lists the top 5 nations according to the number of gold medals won in a
tournament; also included are the number of silver and the bronze medals won by
them. Based only on the data provided in the table, which one of the following
statements is INCORRECT?
Nation Gold Silver Bronze
USA 40 44 41
Canada 39 27 24
Japan 20 12 13
Australia 17 19 16
France 16 26 22
(A) France will occupy the third place if the list were made on the basis of the total
number of medals won.
(B) The order of the top two nations will not change even if the list is made on the basis
of the total number of medals won.
(C) USA and Canada together have less than 50% of the medals awarded to the nations
in the above table.
(D) Canada has won twice as many total medals as Japan.
Q.1 1 – Q. 35 Carry ONE mark Each
Q. 11
Consider the matrix 𝐴 below:
𝐴 = [
]
For which of the following combinations of 𝛼, 𝛽, and 𝛾, is the rank of 𝐴 at least
three?
(i) 𝛼 = 0 and 𝛽 = 𝛾 ≠ 0.
(ii) 𝛼 = 𝛽 = 𝛾 = 0.
(iii) 𝛽 = 𝛾 = 0 and 𝛼 ≠ 0.
(iv) 𝛼 = 𝛽 = 𝛾 ≠ 0.
(A) Only (i), (iii), and (iv)
(B) Only (iv)
(C) Only (ii)
(D) Only (i) and (iii)
Q. 12 Consider the following series:
(i)
1
√
𝑛
∞
𝑛= 1
(ii)
1
𝑛(𝑛+ 1 )
∞
𝑛= 1
(iii) ∑
1
𝑛!
∞
𝑛= 1
Choose the correct option.
(A) Only (ii) converges
(B) Only (ii) and (iii) converge
(C) Only (iii) converges
(D) All three converge
Q.14 Consider a frequency-modulated (FM) signal
𝑐
cos( 2 𝜋𝑓
𝑐
𝑡 + 3 sin
1
1
where 𝐴
𝑐
and 𝑓
𝑐
are, respectively, the amplitude and frequency (in Hz) of the
carrier waveform. The frequency 𝑓
1
is in Hz, and assume that 𝑓
𝑐
1
The peak frequency deviation of the FM signal in Hz is _______.
(A)
1
(B)
1
(C)
1
(D)
1
Q. 15
Consider an additive white Gaussian noise (AWGN) channel with bandwidth 𝑊
and noise power spectral density
𝑁
0
2
. Let 𝑃
𝑎𝑣
denote the average transmit power
constraint.
Which one of the following plots illustrates the dependence of the channel capacity
𝐶 on the bandwidth 𝑊 (keeping 𝑃
𝑎𝑣
and 𝑁
0
fixed)?
(A)
(B)
(C)
(D)
Q. 17
Consider the discrete-time system below with input 𝑥
[
]
and output 𝑦[𝑛]. In the
figure, ℎ
1
[𝑛] and ℎ
2
[
]
denote the impulse responses of LTI Subsystems 1 and 2,
respectively. Also, 𝛿[𝑛] is the unit impulse, and 𝑏 > 0.
Assuming ℎ
2
[
]
[
]
, the overall system (denoted by the dashed box) is _______.
(A) linear and time invariant
(B) linear and time variant
(C) nonlinear and time invariant
(D) nonlinear and time variant
Q. 18
Consider a continuous-time, real-valued signal 𝑓(𝑡) whose Fourier transform
𝑓(𝑡) exp(−𝑗 𝜔𝑡) 𝑑𝑡
∞
−∞
exists.
Which one of the following statements is always TRUE?
(A)
∞
−∞
(B)
∞
−∞
(C)
∞
−∞
(D)
∞
−∞
Q. 20
Let 𝑖
𝐶
𝐿
, and 𝑖
𝑅
be the currents flowing through the capacitor, inductor, and
resistor, respectively, in the circuit given below. The AC admittances are given in
Siemens (S).
Which one of the following is TRUE?
(A) 𝑖
𝐶
= 0 .25∠180° A, 𝑖
𝐿
= 0 .1∠0° A, 𝑖
𝑅
= 0 .2∠90° A
(B) 𝑖
𝐶
= 4∠180° A, 𝑖
𝐿
= 10∠0° A, 𝑖
𝑅
= 5∠90° A
(C)
𝐶
= 0 .25∠270° A, 𝑖
𝐿
= 0 .1∠90° A, 𝑖
𝑅
= 0 .2∠90° A
(D) 𝑖
𝐶
= 4∠90° A, 𝑖
𝐿
= 10∠270° A, 𝑖
𝑅
= 5∠0° A
Q. 21 A simplified small-signal equivalent circuit of a BJT-based amplifier is given
below.
The small-signal voltage gain v
o
/ v
s
(in V/V) is ___________.
(A) −𝛽R
L
R
S
+ r
π
(B) +𝛽R
L
R
S
(C)
−𝛽R
L
R
S
(D)
+𝛽R
L
R
S
+ r
π
