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General Aptitude (GA)
Q.1 – Q.5 Carry ONE mark Each
Q.1 If ‘→’ denotes increasing order of intensity, then the meaning of the words
[smile → giggle → laugh] is analogous to [disapprove → ________ → chide].
Which one of the given options is appropriate to fill the blank?
(A) reprove
(B) praise
(C) reprise
(D) grieve
Q. 2 Find the odd one out in the set: {19, 37, 21, 17, 23, 29, 31, 11}
(A) 21
(B) 29
(C) 37
(D) 23
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Q. 3 In the following series, identify the number that needs to be changed to form the
Fibonacci series.
(A) 8
(B) 21
(C) 6
(D) 13
Q. 4
The real variables 𝑥, 𝑦, 𝑧, and the real constants 𝑝, 𝑞, 𝑟 satisfy
2
2
2
Given that the denominators are non-zero, the value of 𝑝𝑥 + 𝑞𝑦 + 𝑟𝑧 is
(A) 0
(B) 1
(C) 𝑝𝑞𝑟
(D)
2
2
2
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Q.6 – Q.10 Carry TWO marks Each
Q. 6 In the given text, the blanks are numbered (i)−(iv). Select the best match for all the
blanks.
Prof. P
(i)
merely a man who narrated funny stories.
(ii)
in his blackest
moments he was capable of self-deprecating humor.
Prof. Q
(iii)
a man who hardly narrated funny stories.
(iv)
in his blackest
moments was he able to find humor.
(A) (i) was (ii) Only (iii) wasn’t (iv) Even
(B) (i) wasn’t (ii) Even (iii) was (iv) Only
(C) (i) was (ii) Even (iii) wasn’t (iv) Only
(D) (i) wasn’t (ii) Only (iii) was (iv) Even
Q. 7 How many combinations of non-null sets A, B, C are possible from the subsets of
{2, 3, 5} satisfying the conditions: (i) A is a subset of B, and (ii) B is a subset of C?
(A) 28
(B) 27
(C) 18
(D) 19
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Q. 8 The bar chart gives the batting averages of VK and RS for 11 calendar years from
2012 to 2022. Considering that 2015 and 2019 are world cup years, which one of
the following options is true?
(A) RS has a higher yearly batting average than that of VK in every world cup year.
(B) VK has a higher yearly batting average than that of RS in every world cup year.
(C) VK’s yearly batting average is consistently higher than that of RS between the two
world cup years.
(D) RS’s yearly batting average is consistently higher than that of VK in the last three
years.
0
20
40
60
80
100
120
140
2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022
Batting Average
Calendar Year
VK RS
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Q. 10 Four equilateral triangles are used to form a regular closed three-dimensional object
by joining along the edges. The angle between any two faces is
(A) 30 °
(B) 60 °
(C) 45°
(D) 90°
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Q.1 1 – Q. 35 Carry ONE mark Each
Q.
In order to numerically solve the ordinary differential equation
𝑑𝑦
𝑑𝑡
= −𝑦 for
𝑡 > 0 , with an initial condition 𝑦( 0 ) = 1 , the following scheme is employed
𝑛+ 1
𝑛
𝑛+ 1
𝑛
Here, Δ𝑡 is the time step and 𝑦
𝑛
= 𝑦(𝑛Δ𝑡) for 𝑛 = 0 , 1 , 2 , …. This numerical scheme
will yield a solution with non-physical oscillations for Δ𝑡 > ℎ. The value of ℎ is
(A)
(B) 1
(C)
(D) 2
Q.12 The value of the surface integral
𝑆
where 𝑆 is the external surface of the sphere 𝑥
2
2
2
2
is
(A) 0
(B) 4 𝜋𝑅
3
(C)
3
(D) 𝜋𝑅
3
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Q.15 Let 𝑓(. ) be a twice differentiable function from ℝ
2
→ ℝ. If 𝒑, 𝒙
𝟎
2
where ‖𝒑‖
is sufficiently small (here ‖. ‖ is the Euclidean norm or distance function), then
𝟎
𝟎
𝟎
T
1
2
𝑇
2
𝑓(𝝍)𝒑 where 𝝍 ∈ ℝ
2
is a point on the
line segment joining 𝒙
𝟎
and 𝒙
𝟎
𝟎
is a strict local minimum of 𝑓(𝒙), then
which one of the following statements is TRUE?
(A)
𝟎
T
𝒑 > 0 and 𝒑
𝑇
2
(B) ∇𝑓(𝐱
𝟎
T
𝒑 = 0 and 𝒑
𝑇
2
(C)
𝟎
T
𝒑 = 0 and 𝒑
𝑇
2
(D) ∇𝑓(𝐱
𝟎
T
𝒑 = 0 and 𝒑
𝑇
2
Q.16 The velocity field of a two-dimensional, incompressible flow is given by
= 2 sinh 𝑥 𝑖̂ + 𝑣(𝑥, 𝑦) 𝑗̂
where 𝑖̂ and 𝑗̂ denote the unit vectors in 𝑥 and 𝑦 directions, respectively. If
𝑣(𝑥, 0 ) = cosh 𝑥, then 𝑣( 0 , − 1 ) is
(A) 1
(B) 2
(C) 3
(D) 4
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Q.17 A plane, solid slab of thickness 𝐿, shown in the figure, has thermal conductivity 𝑘
that varies with the spatial coordinate 𝑥 as 𝑘 = 𝐴 + 𝐵𝑥, where 𝐴 and 𝐵 are positive
constants (𝐴 > 0 , 𝐵 > 0 ). The slab walls are maintained at fixed temperatures of
= 0 and 𝑇
0
- The slab has no internal heat sources.
Considering one-dimensional heat transfer, which one of the following plots
qualitatively depicts the steady-state temperature distribution within the slab?
(A)
(B)
(C)
(D)
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Q.20 A furnace can supply heat steadily at 1200 K at a rate of 24000 kJ/min. The
maximum amount of power (in kW) that can be produced by using the heat supplied
by this furnace in an environment at 300 K is
(A) 300
(B) 150
(C) 18000
(D) 0
Q.21 Which one of the following statements regarding a Rankine cycle is FALSE?
(A) Superheating the steam in the boiler increases the cycle efficiency.
(B) The pressure at the turbine outlet depends on the condenser temperature.
(C) Cycle efficiency increases as condenser pressure decreases.
(D) Cycle efficiency increases as boiler pressure decreases.
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Q.
For a ball bearing, the fatigue life in millions of revolutions is given by 𝐿 = (
𝐶
𝑃
𝑛
where 𝑃 is the constant applied load and 𝐶 is the basic dynamic load rating. Which
one of the following statements is TRUE?
(A) 𝑛 = 3 , assuming that the inner racing is fixed and outer racing is revolving
(B) 𝑛 = 1 / 3 , assuming that the inner racing is fixed and outer racing is revolving
(C) 𝑛 = 3 , assuming that the outer racing is fixed and inner racing is revolving
(D) 𝑛 = 1 / 3 , assuming that the outer racing is fixed and inner racing is revolving
Q.23 The change in kinetic energy ∆𝐸 of an engine is 300 J, and minimum and maximum
shaft speeds are 𝜔
𝑚𝑖𝑛
= 220 rad/s and 𝜔
𝑚𝑎𝑥
= 280 rad/s, respectively. Assume
that the torque-time function is purely harmonic. To achieve a coefficient of
fluctuation of 0. 05 , the moment of inertia (in kg.m
2
) of the flywheel to be mounted
on the engine shaft is
(A) 0.
(B) 0.
(C) 0.
(D) 0.
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Q. 25 A linear spring-mass-dashpot system with a mass of 2 kg is set in motion with
viscous damping. If the natural frequency is 15 Hz, and the amplitudes of two
successive cycles measured are 7.75 mm and 7.20 mm, the coefficient of viscous
damping (in N.s/m) is
(A) 4. 41
(B) 7.
(C) 2.
(D) 6.
Q. 26 Which one of the following failure theories is the most conservative design
approach against fatigue failure?
(A) Soderberg line
(B) Modified Goodman line
(C) Gerber line
(D) Yield line
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Q. 27 A rigid massless tetrahedron is placed such that vertex O is at the origin and the
other three vertices A, B, and C lie on the coordinate axes as shown in the figure.
The body is acted on by three point loads, of which one is acting at A along 𝑥-axis
and another at point B along 𝑦-axis. For the body to be in equilibrium, the third
point load acting at point O must be
(A) along 𝑧-axis
(B) in 𝑥 − 𝑦 plane but not along 𝑥 or 𝑦 axis
(C) in 𝑦 − 𝑧 plane but not along 𝑦 or 𝑧 axis
(D)
in 𝑧 − 𝑥 plane but not along 𝑧 or 𝑥 axis
Q.28 The phases present in pearlite are
(A) austenite and ferrite
(B) cementite and austenite
(C) ferrite and cementite
(D) martensite and ferrite
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Q.31 The allowance provided to a pattern for easy withdrawal from a sand mold is
(A) finishing allowance
(B) shrinkage allowance
(C) distortion allowance
(D) shake allowance
Q.32 The most suitable electrode material used for joining low alloy steels using Gas
Metal Arc Welding (GMAW) process is
(A) copper
(B) cadmium
(C) low alloy steel
(D) tungsten
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Q.3 3 The preparatory functions in Computer Numerical Controlled (CNC) machine
programing are denoted by the alphabet
(A) G
(B) M
(C) P
(D) O
Q.34 A set of jobs 𝑈, 𝑉, 𝑊, 𝑋, 𝑌, 𝑍 arrive at time 𝑡 = 0 to a production line consisting of
two workstations in series. Each job must be processed by both workstations in
sequence (i.e., the first followed by the second). The process times (in minutes) for
each job on each workstation in the production line are given below.
Job U V W X Y Z
Workstation 1 5 7 3 4 6 8
Workstation 2 4 6 6 8 5 7
The sequence in which the jobs must be processed by the production line if the
total makespan of production is to be minimized is
(A)
W-X-Z-V-Y-U
(B)
W-X-V-Z-Y-U
(C) W-U-Z-V-Y-X
(D) U-Y-V-Z-X-W
