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1.
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A streamline
and an equipotential line in a flow field
(A) are
parallel to each other
(B) are
perpendicular to each other
(C) intersect
at an acute angle
(D) are
identical
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Answer: (B)
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2.
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If a mass of moist
air in an airtight vessel is heated to a higher temperature, then
(A) specific
humidity of the air increases
(B) specific
humidity of the air decreases
(C) relative
humidity of the air increases
(D) relative
humidity of the air decreases
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Answer: (D)
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3.
|
In a condenser
of a power plant, the steam condenses at a temperature of 60°C. The cooling water enters at 0 30°C and leaves at 0 45°C. The logarithmic mean temperature
difference (LMTD) of the condenser is
(A) 16.2 °C
(B) 21.6 °C
(C) 30 °C
(D) 37.5 °C
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Answer: (B)
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4.
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A simply
supported beam PQ is loaded by a moment of 1 kN-m at the mid-span of the beam
as shown in the figure. The reaction forces RP and RQ
at supports P and Q respectively are
(A) 1 kN
downward, 1 kN upward
(B) 0.5 kN
upward, 0.5 kN downward
(C) 0.5 kN
downward, 0.5 kN upward
(D) 1 kN
upward, 1 kN upward
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Answer: (A)
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5.
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A double –
parallelogram mechanism is shown in the figure. Note that PQ is a single
link. The mobility of the mechanism is
(A) -1
(B) 0
(C) 1
(D) 2
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Answer: (C)
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6.
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The maximum
possible draft in cold rolling of sheet increases with the
(A) increase
in coefficient of friction
(B) decrease
in coefficient of friction
(C) decrease
in roll radius
(D) increase
in roll velocity
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Answer: (A)
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7.
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The operation
in which oil is permeated into the pores of a powder metallurgy product is
known as
(A) mixing
(B) sintering
(C) impregnation
(D) infiltration
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Answer: (C)
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8.
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A hole is
dimension  mm. The
corresponding shaft is of dimension  mm. The
resulting assembly has
(A) loose
running fit
(B) close
running fit
(C) transition
fit
(D) interference
fit
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Answer: (C)
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9.
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Heat and work
are
(A) intensive
properties
(B) extensive
properties
(C) point
functions
(D) path
functions
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Answer: (D)
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10.
|
A column has a
rectangular cross-section of 10mm ´
20mm and a length of 1m. The slenderness ratio of the column is close to
(A) 200
(B) 346
(C) 477
(D) 1000
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Answer: (B)
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11.
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A series
expansion for the function sin q is
(A) 
(B) 
(C) 
(D) 
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Answer: (B)
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12.
|
Green sand
mould indicates that
(A) polymeric
mould has been cured
(B) mould has
been totally dried
(C) mould is
green in colour
(D) mould contains
moisture
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Answer: (D)
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13.
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What is  equal
to?
(A) q
(B) sin q
(C) 0
(D) 1
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Answer: (D)
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14.
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Eigenvalues of
a real symmetric matrix are always
(A) positive
(B) negative
(C) real
(D) complex
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Answer: (C)
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15.
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A pipe of 25 mm
outer diameter carries steam. The heat transfer coefficient between the
cylinder and surroundings is 5 W/m2 K. It is proposed to reduce
the heat loss from the pipe by adding insulation having a thermal
conductivity of 0.05 W/mK. Which one of the following statements is TRUE?
(A) The outer
radius of the pipe is equal to the critical radius
(B) The outer
radius of the pipe is less than the critical radius
(C) Adding the
insulation will reduce the heat loss
(D) Adding the
insulation will increase the heat loss
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Answer: (C)
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16.
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The contents
of a well-insulated tank are heated by a resistor of 23 W in which 10 A current is flowing.
Consider the tank along with its contents as a thermodynamic system. The work
done by the system and the heat transfer to the system are positive. The
rates of heat (Q), work (W) and change in internal energy (DU) during the process in kW are
(A) Q = 0, W =
−2.3, DU = +2.3
(B) Q = +2.3, W
= 0, DU = +2.3
(C) Q =
−2.3, W = 0, DU = −2.3
(D) Q = 0, W =
+2.3, DU = −2.3
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Answer: (A)
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17.
|
Match the following
criteria of material failure, under biaxial stresses s1 and s2
and yield stress sy,
with their corresponding graphic representations :
(A) P-M, Q-L,
R-N
(B) P-N, Q-M,
R-L
(C) P-M, Q-N,
R-L
(D) P-N,
Q-L,R-M
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Answer: (C)
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18.
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The product of
two complex numbers 1 + i and 2 - 5i
is
(A) 7 - 3i
(B) - 3 -
4i
(C) - 3 -
4i
(D) 7 + 3i
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Answer: (A)
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19.
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Cars arrive at
a service station according to Poisson's distribution with a mean rate of 5
per hour. The service time per car is exponential with a mean of 10 minutes.
At steady state, the average waiting time in the queue is
(A) 10 minutes
(B) 20 minutes
(C) 25 minutes
(D) 50 minutes
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Answer: (D)
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20.
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The word kanban
is most appropriately associated with
(A) economic
order quantity
(B) just–in–time
production
(C) capacity
planning
(D) product
design
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Answer: (B)
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21.
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If f(x) is an
even function and a is a positive real number, then  equals
(A) 0
(B) a
(C) 2a
(D) 
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Answer: (D)
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22.
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The
coefficient of restitution of a perfectly plastic impact is
(A) 0
(B) 1
(C) 2
(D) ¥
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Answer: (A)
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23.
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A thin
cylinder of inner radius 500mm and thickness 10mm is subjected to an internal
pressure of 5 MPa. The average circumferential (hoop) stress in MPa is
(A) 100
(B) 250
(C) 500
(D) 1000
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Answer: (B)
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24.
|
Which one
among the following welding processes uses non-consumable electrode?
(A) Gas metal
arc welding
(B) Submerged
arc welding
(C) Gas
tungsten arc welding
(D) Flux
coated arc welding
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Answer: (C)
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25.
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The crystal
structure of austenite is
(A) Body
centered cubic
(B) Face
centered cubic
(C) Hexagonal
closed packed
(D) Body
centered tetragonal
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Answer: (B)
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26.
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A torque T is
applied at the free end of a stepped rod of circular cross-sections as shown
in the figure. The shear modulus of the material of the rod is G. The expression
for d to produce an angular twist q
at the free end is
(A) 
(B) 
(C) 
(D) 
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Answer: (B)
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27.
|
Figure shows
the schematic for the measurement of velocity of air (density = 1.2kg /m3)
through a constant-area duct using a pitot tube and a water-tube manometer.
The differential head of water (density = 1000 kg /m3) in the two columns
of the manometer is 10mm. Take acceleration due to gravity as 2 9.8m/ s2.
The velocity of air in m/s is
(A) 6.4
(B) 9.0
(C) 12.8
(D) 25.6
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Answer: (C)
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28.
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The values of
enthalpy of steam at the inlet and outlet of a steam turbine in a Rankine
cycle are 2800kJ/kg and 1800kJ/kg respectively. Neglecting pump work, the
specific steam consumption in kg/kW-hour is
(A) 3.60
(B) 0.36
(C) 0.06
(D) 0.01
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Answer: (A)
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29.
|
The integral  ,
when evaluated by using Simpson's 1/3 rule on two equal subintervals each of
length 1, equals
(A) 1.000
(B) 1.098
(C) 1.111
(D) 1.120
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Answer: (C)
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30.
|
Two identical
ball bearings P and Q are operating at loads 30 kN and 45 kN respectively.
The ratio of the life of bearing P to the life of bearing Q is
(A) 81/16
(B) 27/8
(C) 9/4
(D) 3/2
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Answer: (B)
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31.
|
For the
four-bar linkage shown in the figure, the angular velocity of link AB is 1 rad/s.
The length of link CD is 1.5 times the length of link AB. In the
configuration shown, the angular velocity of link CD in rad/s is
(A) 3
(B) 3/2
(C) 1
(D) 2/3
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Answer: (D)
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32.
|
A stone with
mass of 0.1 kg is catapulted as shown in the figure. The total force Fx
(in N) exerted by the rubber band as a function of distance x (in m) is given
by
Fx = 300x2. If the stone is displaced by 0.1m from
the un-stretched position
(x = 0) of the rubber band, the energy stored in
the rubber band is
(A) 0.01 J
(B) 0.1 J
(C) 1 J
(D) 10 J
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Answer: (B)
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33.
|
Consider the
differential equation  = (1 + y2)
x. The general solution with constant c is
(A) y = 
(B) y = 
(C) y = 
(D) y = 
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Answer: (D)
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34.
|
An unbiased
coin is tossed five times. The outcome of each toss is either a head or a
tail. The probability of getting at least one head is
(A) 
(B) 
(C) 
(D) 
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Answer: (D)
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35.
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A mass of 1 kg
is attached to two identical springs each with stiffness k = 20 kN/m as shown
in the figure. Under frictionless condition, the natural frequency of the system
in Hz is close to
(A) 32
(B) 23
(C) 16
(D) 11
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Answer: (A)
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36.
|
The shear
strength of a sheet metal is 300 MPa. The blanking force required to produce
a blank of 100 mm diameter from a 1.5 mm thick sheet is close to
(A) 45 kN
(B) 70 kN
(C) 141 kN
(D) 3500 kN
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Answer: (C)
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37.
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The ratios of
the laminar hydrodynamic boundary layer thickness to thermal boundary layer
thickness of flows of two fluids P and Q on a flat plate are  and
2 respectively. The Reynolds number based on the plate length for both the
flows is 104. The Prandtl and Nusselt numbers for P are  and
35 respectively. The Prandtl and Nusselt numbers for Q are respectively
(A) 8 and 140
(B) 8 and 70
(C) 4 and 70
(D) 4 and 35
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Answer: (A)
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38.
|
The crank
radius of a single-cylinder I. C. engine is 60 mm and the diameter of the
cylinder is 80 mm. The swept volume of the cylinder in 3 cm is
(A) 48
(B) 96
(C) 302
(D) 603
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Answer: (D)
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39.
|
A pump
handling a liquid raises its pressure from 1 bar to 30 bar. Take the density
of the liquid as 990 3 kg /m3. The isentropic specific work done
by the pump in kJ/kg is
(A) 0.10
(B) 0.30
(C) 2.50
(D) 2.93
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Answer: (D)
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40.
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A spherical
steel ball of 12 mm diameter is initially at 1000 K. It is slowly cooled in a
surrounding of 300K. The heat transfer coefficient between the steel ball and
the surrounding is 5 W/m2 K. The thermal conductivity of steel is
20 W/mK. The temperature difference between the centre and the surface of the
steel ball is
(A) large
because conduction resistance is far higher than the convective resistance
(B) large
because conduction resistance is far less than the convective resistance
(C) small
because conduction resistance is far higher than the convective resistance
(D) small
because conduction resistance is far less than the convective resistance
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Answer: (D)
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41.
|
An ideal
Brayton cycle, operating between the pressure limits of 1 bar and 6 bar, has
minimum and maximum temperatures of 300 K and 1500 K. The ratio of specific
heats of the working fluid is 1.4. The approximate final temperatures in Kelvin
at the end of the compression and expansion processes are respectively
(A) 500 and
900
(B) 900 and
500
(C) 500 and
500
(D) 900 and
900
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Answer: (A)
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42.
|
A disc of mass
m is attached to a spring of stiffness k as shown in the figure. The disc
rolls without slipping on a horizontal surface. The natural frequency of vibration
of the system is
(A) 
(B) 
(C) 
(D) 
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Answer: (C)
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43.
|
A 1 kg block
is resting on a surface with coefficient of friction μ = 0.1. A force of
0.8 N is applied to the block as shown in figure. The friction force is
(A) 0
(B) 0.8 N
(C) 0.98 N
(D) 1.2 N
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Answer: (B)
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44.
|
Consider the
following system of equations:
2x1
+ x2 + x3 = 0,
x2 - x3 = 0,
x1
+ x2 = 0.
This system
has
(A) a unique
solution
(B) no
solution
(C) infinite
number of solutions
(D) five
solutions
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Answer: (C)
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45.
|
A single-point
cutting tool with 12° rake angle is
used to machine a steel work-piece. The depth of cut, i.e. uncut thickness is
0.81 mm. The chip thickness under orthogonal machining condition is 1.8mm.
The shear angle is approximately
(A) 22°
(B) 26°
(C) 56°
(D) 76°
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Answer: (B)
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46.
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Match the
following non-traditional machining processes with the corresponding material
removal mechanisms :
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Machining
process
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Mechanism of
material removal
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P. Chemical
machining
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1. Erosion
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Q.
Electro-chemical machining
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2. Corrosive
reaction
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R. Electro-discharge
machining
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3. Ion
displacement
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S.
Ultrasonic machining
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4. Fusion
and vaporization
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(A) P-2, Q-3,
R-4, S-1
(B) P-2, Q-4, R-3,
S-1
(C) P-3, Q-2, R-4,
S-1
(D) P-2, Q-3, R-1,
S-4
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Answer: (A)
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47.
|
A cubic
casting of 50 mm side undergoes volumetric solidification shrinkage and volumetric
solid contraction of 4% and 6% respectively. No riser is used. Assume uniform
cooling in all directions. The side of the cube after solidification and
contraction is
(A) 48.32 mm
(B) 49.90 mm
(C) 49.94 mm
(D) 49.96 mm
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Answer: (A)
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Common Data
Questions
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Common Data
Questions: 48 & 49
In an
experimental set-up, air flows between two stations P and Q adiabatically. The
direction of flow depends on the pressure and temperature conditions maintained
at P and Q. The conditions at station P are 150 kPa and 350 K. The temperature
at station Q is 300K.
The following
are the properties and relations pertaining to air:
Specific heat
at constant pressure, cp = 1.005 kJ/kgK;
Specific heat
at constant volume, cv = 0.718 kJ/kgK;
Characteristic
gas constant, R = 0.287 kJ/kgK.
Enthalpy, h =
cp T.
Internal
energy, u = cv T.
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48.
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If the air has
to flow from station P to station Q, the maximum possible value of
pressure in
kPa at station Q is close to
(A) 50
(B) 87
(C) 128
(D) 150
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Answer: (B)
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49.
|
If the
pressure at station Q is 50 kPa, the change in entropy (sQ - sP ) in kJ/kgK is
(A) -0.155
(B) 0
(C) 0.160
(D) 0.355
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Answer: (C)
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Common Data
Questions: 50 and 51
One unit of
product P1 requires 3 kg of resource R1 and 1 kg of
resource R2. One unit of product P2 requires 2 kg of
resource R1 and 2 kg of resource R2. The profits per
unit by selling product P1 and P2 are Rs. 2000 and Rs. 3000
respectively. The manufacturer has 90 kg of resource R1 and 100kg
of resource R2.
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50.
|
The unit worth
of resource R2, i.e., dual price of resource R2 in Rs.
Per kg is
(A) 0
(B) 1350
(C) 1500
(D) 2000
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Answer: (A)
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51.
|
The
manufacturer can make a maximum profit of Rs.
(A) 60000
(B) 135000
(C) 150000
(D) 200000
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Answer: (B)
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Linked
Answer Questions
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Statement for Linked Answer Questions: 52 & 53
A triangular-shaped
cantilever beam of uniform–thickness is shown in the figure. The Young's
modulus of the material of the beam is E. A concentrated load P is applied at
the free end of the beam.
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52.
|
The area
moment of inertia about the neutral axis of a cross-section at a distance x
measured from the free end is
(A) 
(B) 
(C) 
(D) 
|
Answer: (B)
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53.
|
The maximum
deflection of the beam is
(A) 
(B) 
(C) 
(D) 
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Answer: (D)
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Statement
for Linked Answer Questions: 54 & 55
The
temperature and pressure of air in a large reservoir are 400 K and 3 bar respectively.
A converging-diverging nozzle of exit area 0.005 m2 is fitted to
the wall of the reservoir as shown in the figure. The static pressure of air
at the exit section for isentropic flow through the nozzle is 50 kPa. The
characteristic gas constant and the ratio of specific heats of air are 0.287 kJ/kgK
and 1.4 respectively.
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|
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54.
|
The density of
air in kg/m3 at the nozzle exit is
(A) 0.560
(B) 0.600
(C) 0.727
(D) 0.800
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Answer: (C)
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55.
|
The mass flow
rate of air through the nozzle in kg/s is
(A) 1.30
(B) 1.77
(C) 1.85
(D) 2.06
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Answer: (D)
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General
Aptitude (GA) Questions
Q. No. 56 –
60 Carry One Mark Each
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56.
|
Choose the
word from the options given below that is most nearly opposite in meaning to
the given word:
Amalgamate
(A) merge
(B) split
(C) collect
(D) separate
|
Answer: (B)
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57.
|
Which of the
following options is the closest in the meaning to the word below:
Inexplicable
(A)
Incomprehensible
(B) Indelible
(C)
Inextricable
(D) Infallible
|
Answer: (A)
|
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58.
|
If Log (P) =
(1/2) Log (Q) = (1/3) Log (R), then which of the following options is TRUE?
(A) P2
= Q3 R2
(B) Q2
= PR
(C) Q2
= R3 P
(D) R = P2
Q2
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Answer: (B)
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59.
|
Choose the
most appropriate word(s) from the options given below to complete the
following sentence.
I contemplated
______ Singapore for my vacation but decided against it.
(A) to visit
(B) having to
visit
(C) visiting
(D) for a
visit
|
Answer: (C)
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60.
|
Choose the
most appropriate word from the options given below to complete the following
sentence.
If you are
trying to make a strong impression on your audience, you cannot do so by
being understated, tentative or______.
(A) hyperbolic
(B) restrained
(C) argumentative
(D) indifferent
|
Answer: (B)
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|
Q. 61 to Q.
65 carry two marks each
|
|
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61.
|
A container
originally contains 10 litres of pure spirit. From this container 1 litre of
spirit is replaced with 1 litre of water. Subsequently, 1 litre of the
mixture is again replaced with 1 litre of water and this process is repeated
one more time. How much spirit is now left in the container?
(A) 7.58
litres
(B) 7.84
litres
(C) 7 litres
(D) 7.29
litres
|
Answer: (D)
|
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62.
|
Few school
curricula include a unit on how to deal with bereavement and grief, and yet
all students at some point in their lives suffer from losses through death
and parting.
Based on the
above passage which topic would not be included in a unit on bereavement?
(A) how to
write a letter of condolence
(B) what
emotional stages are passed through in the healing process
(C) what the
leading causes of death are
(D) how to
give support to a grieving friend
|
Answer: (C)
|
|
63.
|
P, Q, R and S
are four types of dangerous microbes recently found in a human habitat. The
area of each circle with its diameter printed in brackets represents the
growth of a single microbe surviving human immunity system within 24 hours of
entering the body. The danger to human beings varies proportionately with the
toxicity, potency and growth attributed to a microbe shown in the figure below:
A
pharmaceutical company is contemplating the development of a vaccine against
the most dangerous microbe. Which microbe should the company target in its
first attempt?
(A) P
(B) Q
(C) R
(D) S
|
Answer: (D)
|
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64.
|
The variable
cost (V) of manufacturing a product varies according to the equation V= 4q,
where q is the quantity produced. The fixed cost (F) of production of same product
reduces with q according to the equation F = 100/q. How many units should be
produced to minimize the total cost (V+F)?
(A) 5
(B) 4
(C) 7
(D) 6
|
Answer: (A)
|
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65.
|
A transporter
receives the same number of orders each day. Currently, he has some pending orders
(backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day
he can clear all the orders. Alternatively, if he uses only 3 trucks, then
all the orders are cleared at the end of the 10th day. What is the minimum
number of trucks required so that there will be no pending order at the end
of the 5th day?
(A) 4
(B) 5
(C) 6
(D) 7
|
Answer: (C)
|
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End of Question Paper
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