1. Stokes theorem connects

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
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2. A soldering operation was work-sampled over two days (16 hours) during which an employee soldered 108 joints. Actual working time was 90% of the total time and the performance rating was estimated to be 120 percent. If the contract provides allowance of 20 percent of the total time available, the standard time for the operation would be

A. 8min
B. 8.9 min
C. 10 min
D. 12 min
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3. In an interchangeable assembly, shafts of size 25.000^+0.040 mm mate with holes of size 25.000^+0.020 mm. The maximum possible clearance in the assembly will be

A. 10 microns
B. 20 microns
C. 30 microns
D. 60 microns
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4. The S-N curve for steel becomes asymptotic nearly at

A. 103 cycles
B. 104 cycles
C. 106 cycles
D. 109 cycles
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5. In terms of theoretical stress concentration factor (Kt) and fatigue stress concentration factor (Kf ), the notch sensitivity ‘q’ is expressed as

A. (Kf -1)/(Kt -1)
B. (Kf -1)/(Kt +1)
C. (Kt -1)/(Kf -1)
D. (Kf +1)/(Kt +1)
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6. Two dice are thrown. What is the probability that the sum of the number on two dice is eight?

A. 1/6
B. 5/36
C. 1/9
D. 1/4
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7. Gantt charts are used for

A. Time study
B. production schedule
C. Motion study
D. work study
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8. CPM requires:

A. single time estimate
B. double time estimate
C. triple time estimate
D. None
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9. The life of a ball bearing at a load of 10 KN is 8000 hours. If the load is increased to 20 KN, keeping all other conditions same new life is:

A. 8000 hours
B. 4000 hours
C. 2000 hours
D. 1000 hours
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10. 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
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11. The tool of an NC machine has to move along a circular arc from (5,5) to (10,10) while performing an operation. The centre of the arc is at (10,5). Which one of the following NC tool path commands performs the above mentioned operation?

A. N010 G02 X10 Y10 X5 Y5 R5
B. N010 G03 X10 Y10 X5 Y5 R5
C. N010 G01 X5 Y5 X10 Y10 R5
D. N010 G02 X5 Y5 X10 Y10 R5
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12. There are four samples P, Q, R and S, with natural frequencies 64, 96, 128 and256 Hz, respectively. They are mounted on test setups for conducting vibration experiments. If a loud pure note 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
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13. An incompressible fluid (kinematic viscosity, 7.4 x 10^-7 m2/s, specific gravity, 0.88) is held between two parallel plates. If the top plate is moved with a velocity of 0.5 m/s while the bottom one is held http://koolkareers.com/gate/sample-papers/me-paper-1/# - A. 0.651 x 10^-3
B. 0.651
C. 6.51
D. 0.651 x 10^3
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14. The mechanism of material removal in EDM process is

A. Melting and Evaporation
B. Melting and Corrosion
C. Erosion and Cavitation
D. Cavitation and Evaporation
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15. A company produces two types of toys: P and Q. Production time of Q is twice that of P and the company has a maximum of 2000 time units per day. The supply of raw material is just sufficient to produce 1500 toys (of any type) per day. Toy type Q requires an electric switch which is available @ 600 pieces per day only. The company makes a profit of Rs. 3 and Rs. 5 on type P and Q respectively. For maximization of profits, the daily production quantities of P and Q toys should respectively be

A. 100, 500
B. 500, 1000
C. 800, 600
D. 1000, 1000
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16. Match the following

Type of Mechanism Motion achieved
P. Scott — Russel mechanism 1. Intermittent motion
Q. Geneva mechanism 2. Quick return motion
R. Off-set slider-crank mechanism 3. Simple harmonic motion
S. Scotch Yoke mechanism 4. Straight line motion

A. P-2 Q-3 R-l S-4
B. P-3 Q-2 R-4 S-l
C. P-4 Q-l R-2 S-3
D. P-4 Q-3 R-l S-2
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17. The strength of a brazed joint

A. decreases with increase in gap between the two joining surfaces
B. increases with increase in gap between the two joining surfaces
C. decreases up to certain gap between the two joining surfaces beyond which it increases
D. increases up to certain gap between the two joining surfaces beyond which it decreases
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18. Which among the NC operations given below are continuous path operations?
Arc Welding (AW)
Milling (M)
Drilling (D)
Punching is Sheet Metal (P)
Laser Cutting of Sheet Metal (LC)
Spot Welding (SW)

A. AW, LC and M
B. AW, D, LC and M
C. D, LC, P and SW
D. D, LC, and SW
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19. Water at 42°C 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 http://koolkareers.com/gate/sample-papers/me-paper-1/# - A. Air gets cooled and humidified
B. Air gets heated and humidified
C. Air gets heated and dehumidified
D. Air gets cooled and dehumidified
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20. The natural frequency of an undamped vibrating system is 100 rad/sec. A damper with a damping factor of 0.8 is introduced into the system. The frequency of vibration of the damped system in rad/sec, is:

A. 60
B. 75
C. 80
D. 100
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Answers

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