ME - Sample Paper - 2

1. Moment of inertia is the

A. second moment of force
B. second moment of area
C. second moment of mass
D. all
_________________________________________________

2. A maintenance service facility has Poisson arrival rates, negative exponential service time and operates on a ‘first come first served’ queue discipline. Break downs occur on an average of 3 per day with a range of zero to eight. The maintenance crew can service an average of 6 machines per day with a range of zero to seven.The mean waiting time for an item to be serviced would be

A. 1/6 day
B. 1/3 day
C. 1 day
D. 3 days
_________________________________________________

3. A vibrating machine is isolated from the floor using springs. If the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility of ratio of isolation is

A. 1/2
B. 3/4
C. 4/3
D. 2
_________________________________________________

4. A company has two factories S1, S2 and two warehouses D1, D2. The supplies from S1 and S2 are 50 and 40 units respectively. Warehouse D1 requires a minimum of 20 units and a maximum of 40 units. Warehouse D2 requires a minimum of 20 units and, over and above, it can take as much as can be supplied. A balanced transportation problem is to be formulated for the above situation. The number of supply points, the number of demand points, and the total supply (or total demand) in the balanced transportation problem respectively are

A. 2, 4, 90
B. 2, 4, 110
C. 3, 4, 90
D. 3, 4, 110
_________________________________________________

5. A welding operation is time-studied during which an operator was pace-rated as 120%. The operator took, on an average, 8 minutes for producing the weld-joint. If a total of 10% allowances are allowed for this operation, the expected standard production rate of the weld-joint (in units per 8 hour day) is

A. 45
B. 50
C. 55
D. 60
_________________________________________________

6. A solar collector receiving solar radiation at the rate of 0.6 k W/m^2 transforms it to the internal energy of a fluid at an overall efficiency of 50%. The fluid heated to 350 K is used to run a heat engine which rejects heat at 313 K. If the heat engine is to deliver 2.5 kW power, the minimum area of the solar collector required would be

A. 8.33 m^2
B. 16.66 m^2
C. 39.68 m^2
D. 79.36 m^2
_________________________________________________

7. The temp field in a body varies according to the equation T(x,y)= x^3 + 4xy. The diraction of fastest variation in the temp at the point (1,0) is given by:

A. 3i + 8j
B. j
C. 3i + 4j
D. 5i + 1.2 j
_________________________________________________

8. A welding operation is time-studied during which an operator was pace-rated as 120%. The operator took, on an average, 8 minutes for producing the weld-joint. If a total of 10% allowances are allowed for this operation, the expected standard production rate of the weld-joint (in units per 8 hour day) is

A. 45
B. 50
C. 55
D. 60
_________________________________________________

9. Which of the following is the proper sequence?

A. elastic limit, proportional limit, yielding, failure
B. proportional limit, elastic limit, yielding, failure
C. proportional limit, yielding, elastic limit, failure
D. elastic limit, proportional limit, failure, yielding
_________________________________________________

10. A slot of 100 product contains 20 defective products. What is the probability that a slot of 5 contains exactly 2 defective parts:

A. 0.2048
B. 0.400
C. 0.4096
D. 0.32
_________________________________________________

11. Concurrent forces are those forces whose lines of action:

A. lie on the same line
B. meet at one point
C. meet on the same plane
D. none of the above
_________________________________________________

12. A solid cylinder (surface 2) is located at the centre of a hollow sphere (surface 1). The diameter of the sphere is 1m, while the cylinder has a diameter and length of 0.5 m each. The radiation configuration factor F11 is

A. 0.375
B. 0.625
C. 0.75
D. 1
_________________________________________________

13. A component can be produced by any of the four processes I, II, III and IV. Process I has a fixed cost ofRs. 20 and variable cost of Rs. 3 per piece. Process II has a fixed cost Rs. 50 and variable cost of Re. 1 per piece. Process III has a fixed cost of Rs. 40 and variable cost of Rs. 2 per piece. Process IV has a fixed cost of Rs. 10 and variable cost of Rs. 4 per piece. If the company wishes to produce 100 pieces of thecomponent, from economic point of view it should choose

A. Process I
B. Process II
C. Process III
D. Process IV
_________________________________________________

14. A spherical thermocouple junction of diameter 0.706 mm is to be used for the measurement of temperature of a gas stream. The convective heat transfer co-efficient on the bead surface is 400 W/m^2K. Thermophysical properties of thermocouple material are k = 20 W/mK, C = 400 J/kg K and r = 8500 kg/m^3. If the thermocouple initially tot 30°C is placed in a hot stream of 300°C, the time taken by the bead to reach 298°C, is

A. 2.35 s
B. 4.9 s
C. 14.7 s
D. 29.4 s
_________________________________________________

15. When the temperature of a solid metal increases,

A. strength of the metal decreaes 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
_________________________________________________

16. Match the following with respect to spatial mechanisms.

Type of Joint Degrees of constraint
P-Revolute. 1. Three
Q-Cylindrical 2. Five
R-Spherical 3. Four
4. Two
5. Zero

A. P-l Q-3 R-3
B. P-5 Q-4 R-3
C. P-2 Q-3 R-l
D. P-4 Q-5 R-3
_________________________________________________

17. 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
_________________________________________________

18. Critical thickness of insulation for cylinder and sphere are:

A. h/k, h/2k
B. k/h, 2k/h
C. 2h/k, k/h
D. 2k/h, k/h
_________________________________________________

19. A box contains 5 black balls and 3 red balls. A total of three balls are picked from the box one after another, without replacing them back the probability of getting three black balls are:

A. 3/8
B. 3/28
C. 15/28
D. 2/7
_________________________________________________

20. The angle between two unit-magnitude coplanar vectors P(0.866, 0.500,0) and Q(0.259, 0.966,0) will be

A. 0°
B. -30°
C. 45°
D. 60°
_________________________________________________
_________________________________________________

Answers

1. D
2. A
3. C
4. C
5. A
6. D
7. C
8. A
9. B
10. A
11. B
12. C
13. B
14. B
15. A
16. C
17. B
18. B
19. B
20. C

Related Articles :