61.For air with a relative humidity of 80%
(a) The dry bulb temperature is less than wet bulb temperature
(b) The dew point temperature is less than wet bulb temperature
(c) The dew point and wet bulb temperatures are equal
(d) The dry bulb and dew point temperatures are equal
62. During evaporative cooling process, wet bulb temperature
(a) Increases (b) decreases
(c) remains constant (d) unpredictable
63. In a psychrometric process, the sensible heat added is 30 kJ/sec and latent heat added is 20 kJ/sec. The sensible heat factor for the process is
(a) 0.3 (b) 0.6 (c) 0.67 (d) 1.5
64. The bypass factor of cooling coil decreases with
(a) Decrease in fin spacing and increase in number of rows
(b) Increase in fin spacing and increase in number of rows
(c) Increase in fin spacing and decrease in number of rows
(d) Decrease in fin spacing and decrease in number of rows
65. The wet bulb depression is zero when relative humidity is
(a) 0% (b) 50% (c) 75% (d) 100%
66. In the metal cutting process, the high cutting speed and large angle of the tool will result in the formation of
(a) continuous chips
(b) discontinuous chips
(c) continuous chips with built up edge
(d) chips of irregular shapes
67. Gear hobbing produces more accurate gears than milling, because in hobbing
(a) There is continuous indexing operation
(b) Both hob and work piece are rotating
(c) Pressure angle is larger than in milling
(d) A special multi-tooth cutter is used
68. The type of tool used in milling machine and broaching machine is
(a) single point cutting tool (b) two point cutting tool
(c) three point cutting tool (d) multi-point cutting tool
69. The Ackerman steering gear mechanism is preferred to Davis steering mechanism because
(a) Whole of the mechanism in the Ackerman steering gear is on the back of the front wheels
(b) The Ackerman steering gear consists of sliding pairs
(c) The Ackerman steering gear is most economical
(d) Davis steering gear consists of turning pairs
70. The natural frequency of free torsional vibrations of a shaft with torsional stiffness q and I is the mass moment of inertia of the disc attached to the end of the shaft is
(a) $2\pi \sqrt{\frac{q}{I}}$ (b) $2\pi \sqrt{qI}$ (c) $\frac{1}{2 \pi} \sqrt{\frac{q}{I}}$ (d) $\frac{1}{2 \pi} \sqrt{qI}$
71. A is a 3 × 4 real matrix and Ax = b is a consistent system of equations. The highest
possible rank of A is
(a) 1 (b) 2 (c) 3 (d) 4
72. The value of the quantity P where $P = \int_{0}^{1} xe^x dx$ is equal to
(a) 0 (b) 1 (c) e (d) 1/e
73. The solution of the differential equation $\frac{dy}{dx} = \frac{-x}{y}$ at x = 1 and y = √3 is
(a) $x-y^2 = -2$ (b) $x+y^2 = -4$
(c) $x^2-y^2 = 2$ (d) $x^2+y^2 = 4$
74. The analytic function $f(z) = \frac{z-1}{z^2 +1}$ has singularities at
(a) 1 and – 1 (b) 1 and 1
(c) 1 and –i (d) i and –i
75. X is a uniformly distributed random variable that takes value between 0 and 1. The value of E(X3) will be
(a) 0 (b) 1/8
(c) 1/4 (d) 1/2
76. The equation $e^x -1 = 0$ is required to be solved using Newton’s method with an initial guess of x0 = -1. Then after one step of Newton’s method, the estimate x1 of the solution will be
(a) 0.71828 (b) 0.36784 (c) 0.20587 (d) 0.0000
77. Laplace transform of $f (t) = t^2 sint$ is
(a) $\frac{3s^2-1}{(s^2+1)^3}$ (b) $\frac{2(3s^2-1)}{(s^2+1)^3}$
(c)$\frac{3s^2+1}{(s^2+1)^3}$ (b) $\frac{2(3s^2+1)}{(s^2+1)^3}$
78. The residue of a complex function $x(z) = \frac{1-2z}{z(z-1)(z-2)}$ at its poles are
(a) 1/2, 1/2 and 1 (b) 1/2, 1/2 and -1
(c) 1/2, 1 and -3/2 (d) 1/2, -1 and 3/2
79. The solution of the differential equation $\frac{dy}{dx} + y^2 =0 $ is
(a) $Y = \frac{1}{x+c}$ (b) $Y = \frac{-x^3}{3} +c$
(c) $Y = ce^x$ (d) unsolvable as the equation is non-linear
80. A box contains 10 screws, 3 of which are defective. Two screws are drawn at random
with replacement. The probability that none of the two screws will be defective is:
(a) 100% (b) 50% (c) 49% (d) none of these
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