21.

Answer: A

22. Find
the Laplace transform of

*cosh*at
(A) s/(s

^{2}+a^{2})
(B) a/(s

^{2}-a^{2})
(C) s/(s

^{2}-a^{2})
(D) a/(s

^{2}+a^{2})
Answer: C

23. Find
the rank of

(A) 2

(B) 3

(C) 8

(D) 0

Answer: B

24. Find
the general solution of the differential equation (D

^{3}- D^{2}- D + 1) y = 0.
(A) c

_{1}e^{x }+ c_{2}e^{x }+ c_{3}e^{-x}
(B) c

_{1}e^{-x}+ c_{2}e^{-x}+ c_{3}e^{x}
(C) (c

_{1}+ c_{2}x)e^{-x}+ c_{3}e^{x}
(D) c

_{1}e^{-x}+ (c_{2}+ c_{3}x)e^{x}
Answer: D

25. If
C is the unit circle,

(A) π/4

(B) 0

(C) π/2

(D) π/6

Answer: B

26. Pick
up the incorrect statement from the following:

(A) The straight distance between end points
of a suspended tape is reduced by an amount called the sag correction.

(B) While measuring a distance with a tape of
length 100.005 m, the distance should be increased by 0.005 m for each tape
length.

(C) An increase in temperature causes a tape
to increase in length and the measured distance is too large.

(D) A 100 m tape of cross section 10 mm x
0.25 mm stretches about 10 mm under 5 kg pull.

Answer: C

27. A
stone of mass 1 kg is tied to a string of length 1 m and whirled in a
horizontal circle at a constant angular speed 5 rad/sec. The tension in the
string is

(A) 30 N

(B) 25 N

(C) 15 N

(D) 10 N

Answer: B

28. The
ratio of the moment of inertia of a rectangle about its centroidal axis to that
about its base, is

(A) 1/3

(B) 1/4

(C) 3/4

(D) 4

Answer: B

29. Ultimate
strength to cement is provided by

(A) Di-calcium silicate

(B) Tri-calcium silicate

(C) Tri-calcium aluminate

(D) Tetra calcium alumino ferrite

Answer: A

30. The
portion of the brick without a triangular corner equal to half the width and
half the length, is called

(A) Brick bat

(B) Queen closer

(C) Squint brick

(D) King closer

Answer: X

31. An
industrial heat pump operates between the temperatures of 27

^{o}C and -13^{o}C. The rates of heat addition and heat rejection are 750 W and 1000 W respectively. The COP for the heat pump is
(A) 7.5

(B) 6.5

(C) 4.0

(D) 3.0

Answer: C

32. A
hydraulic turbine develops 1000 kW power for a head of 40 m. If the head is
reduced to 20 m, the power developed (in kW) is

(A) 177

(B) 354

(C) 500

(D) 800

Answer: B

33. Two
mating spur gears have 40 and 120 teeth respectively. The pinion rotates at 1200
rpm and transmits a torque of 20 Nm. The torque transmitted by gear is

(A) 80 Nm

(B) 30 Nm

(C) 40 Nm

(D) 60 Nm

Answer: D

34. Misrun
is a casting detect which occurs due to

(A) Very high pouring temperature of the
molten metal

(B) Insufficient fluidity of the molten metal

(C) Absorption of gases by the liquid metal

(D) Improper alignment of the mould flasks

Answer: B

35. Which
of the following arc welding process does not use consumable electrode?

(A) GTAW

(B) GMAW

(C) SAW

(D) None of those

Answer: A

36. A
500 kVA transformer has full load efficiency of 95% at UPF. It gives the same efficiency
at 60% of full load and at UPF. The iron loss of the transformer is

(A) 10.35 kW

(B) 9.87 kW

(C) 9.08 kW

(D) 10.71 kW

Answer: B

37. Leakage
flux In an induction motor is the flux that

(A) Links stator and rotor windings

(B) Leaks through the machine

(C) Links stator winding or the rotor winding
but not both

(D) Links none of the windings

Answer: C

38. It
is desired to have a constant direct current through an ideal inductor, the
nature of the voltage source must be

(A) Constant voltage

(B) Linearly increasing voltage

(C) Exponentially increasing voltage

(D) An ideal impulse

Answer: D

39. A
filament bulb rated at 500W, 100 V is to be connected in series with
capacitance across 220 V, 50 Hz supply. What will be the value of the capacitor
such that the voltage across the bulb and the power consumed by the bulb are
according to the rating of the bulb?

(A) 78 μF

(B) 81 μF

(C) 90 μF

(D) 86 μF

Answer: B

40. In
delta to star transformation, if the three elements of the delta connection are
scaled by a factor ‘m’, m > 0, the elements of the corresponding star
equivalent will be scaled by a factor of

(A) m

^{2}
(B) √m

(C) 1/m

(D) m

Answer: D

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