# GATE Mechanical Engg Question Papers-03

1

The following data about the flow of liquid was observed in a continuous chemical process plant

Flow rate

(litres/sec)

7.5

to

7.7

7.7

to

7.9

7.9

to

8.1

8.1

to

8.3

8.3

to

8.5

8.5

to

8.7
Frequency 1 5 35 17 12 10

Mean flow rate of the liquid is
Options
A) 8.00 litres/sec B) 8.06 litres/sec
C) 8.16 litres/sec D) 8.26 litres/sec
2 During the execution of a CNC part program block
NO20 GO2 X45.0 Y25.0 R5.0
the type of tool motion will be
Options
A) circular Interpolation — clockwise
B) circular Interpolation — counterclockwise
C) linear Interpolation
D) rapid feed
3 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 the
component, from economic point of view it should choose
Options
A) Process I B) Process II
C) Process III D) Process IV
4
Options
A) B)
C) D)
5

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
Options
A) 10 microns B) 20 microns
C) 30 microns D) 60 microns
6 A company has two factories S 1 , S 2 and two warehouses D 1 , D 2 . The supplies from S 1 and S 2 are 50 and 40 units respectively. Warehouse D 1 requires a minimum of 20 units and a maximum of 40 units. Warehouse D 2 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
Options
A) 2, 4, 90 B) 2, 4, 110
C) 3, 4, 90 D) 3, 4, 110
7

A standard machine tool and an automatic machine tool are being compared for the production of a component. Following data refers to the two machines.

Standard

Machine Tool

Automatic

Machine Tool
Setup time 30 min. 2 hours
Machining time per piece 22 min. 5min
Machine rate Rs. 200 per hour Rs. 800 per hour

The breakeven production batch size above which the automatic machine tool will be economical to use, will be
Options
A) 4 B) 5
C) 24 D) 225
8 An incompressible fluid (kinematic viscosity, 7.4 x 10 -7 m 2 /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 stationary, the fluid attains a linear velocity profile in the gap of 0.5 mm between these plates; the shear stress in Pascals on the surface of top plate is
Options
A) 0.651 x 10 -3 B) 0.651
C) 6.51 D) 0.651 x 10 3
9 A weighing machine consists of a 2 kg pan resting on spring. In this condition, with the pan resting on the spring, the length of the spring is 200 mm. When a mass of 20 kg is placed on the pan, the length of the spring becomes 100 mm. For the spring, the un-deformed length 10 and the spring constant k (stiffness) are
Options
A) l 0 = 220 mm, k = 1862 N/m B) l 0 = 210 mm, k = 1960 N/m
C) l 0 = 200 mm, k = 1960 N/m D) l 0 = 200 mm, k = 2156 N/m
10

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
Options
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
11 Environment friendly refrigerant R134 a is used in the new generation domestic refrigerators. Its chemical formula is
Options
A) CH C1 F 2 B) C 2 C1 3 F 3
C) C 2 C1 2 F 4 D) C 2 H 2 F 4
12 A company has an annual demand of 1000 units, ordering cost of Us. 100/order and carrying cost of Rs. 100/unit-year. If the stock-out costs are estimated to be nearly Rs. 400 each time the company runs out-of-stock, the safety stock justified by the carrying cost will be
Options
A) 4 B) 20
C) 40 D) 100
13 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)
Options
A) AW, LC and M B) AW, D, LC and M
C) D, LC, P and SW D) D, LC, and SW
14 The S-N curve for steel becomes asymptotic nearly at
Options
A) 10 3 cycles B) 10 4 cycles
C) 10 6 cycles D) 10 9 cycles
15 There are four samples P, Q, R and S, with natural frequencies 64, 96, 128 and
256 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?
Options
A) P B) Q
C) R D) S
16 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
Options
A)
1
2
B)
3
4
C)
4
3
D) 2
17 When 3-2-1 principle is used to support and locate a three dimensional work-piece during machining, the number of degress of freedom that are restricted is
Options
A) 7 B) 8
C) 9 D) 10
18 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
Options
A) 8.33m 2 B) 16.66m 2
C) 39.68m 2 D) 79.36m 2
19 A fluid flow is represented by the velocity field

V
>
= ax

i
>
+ ay

j
>
where a is a constant. The equation of stream line passing through a point (1, 2) is
Options
A) x-2y = 0 B) 2x + y = 0
C) 2x – y = 0 D) x + 2y = 0
20 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
Options
A) 45 B) 50
C) 55 D) 60