1. Strokes theorem connects
(a) a line integral and a surface integral
(b) a surface integral and a volume integral
(c) a line integral and a volume integral
(d) gradient of a function and its surface integral
2. A lot has 10% defective items. Ten items are chosen randomly from this lot. The
probability that exactly 2 of the chosen items are defective is
(a) 0.0036 (b) 0.1937 (c) 0.2234 (d) 0.3874
3. A is a 3 × 4 real matrix and A x = b is an inconsistent system of equations. The highest possible rank of A is
(a) 1 (b) 2 (c) 3 (d) 4
4. A simple pendulum of length 5m, with a bob of mass 1 kg, is in simple harmonic motion. As it passes through its mean position, the bob has a speed of 5 m/s. the net force on the bob at the mean position is
(a) zero (b) 2.5 N (c) 5 N (d) 25 N
5. Two identical cantilever beams are supported as shown, with their free ends in
contact through a rigid roller. After the load P is applied, the free ends will have P
(a) equal deflections but not equal slopes
(b) equal slopes but not equal deflections
(c) equal slopes as well as equal deflections
(d) neither equal slopes nor equal deflections
6. The number of degrees of freedom of a planar linkage with 8 links and 9 simple revolute joints is
(a) 1 (b) 2 (c) 3 (d) 4
7. There are four samples P, Q, R and S, with natural frequencies 64, 96, 128 and 256 Hz respectively. There are mounted on test setups for conducting vibration experiments. If a loud pure not of frequency 144 Hz is produced by some instrument, which of the samples will show the most perceptible induced vibration?
(a) P (b) Q (c) R (d) S
8. Which one of the following is a criterion in the design of hydrodynamic journal bearings?
(a) Sommerfeld number (b) Rating life
(c) Specific dynamic capacity (d) Rotation factor
9. For a typical sample of ambient air (at 35°C, 75% relative humidity and standard atmospheric pressure), the amount of moisture in kg per kg of dry air will be approximately
(a) 0.002 (b) 0.027 (c) 0.25 (d) 0.75
10. Water at 42° is sprayed into a stream of air at atmospheric pressure, dry bulb temperature of 40°C and a wet bulb temperature of 20°C. The air leaving the
spray humidifier is not saturated. Which of the following statements is true?
(a) Air gets cooled and humidified (b) Air gets heated and humidified
(c) Air gets heated and dehumidified (d) Air gets cooled and dehumidified
11. Match the items of List I (Equipment) with the items of List II (Process) and
select the correct answer using the given codes.
List I (Equipm ent) List (Process)
P œ Hot Chamber Machine 1 œ Cleaning
Q œ Muller 2 œ Core making
R œ Dielectric Baker 3 œ Die casting
S œ Sand Blaster 4 œ Annealing
5 œ Sand mixing
(a) P œ 2 Q œ 1 R œ 4 S - 5 (b) P œ 4 Q œ 2 R œ 3 S - 5
(c) P œ 4 Q œ 5 R œ 1 S - 2 (d) P œ 3 Q œ 5 R œ 2 S - 1
12. When the temperature of a solid metal increases.
(a) strength of the metal decreases but ductility increases
(b) both strength and ductility of the metal decrease
(c) both strength and ductility of the metal increase
(d) strength of the metal increases but ductility decreases
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