GATE Mechanical engg online test paper 2
by Esha Upadhyay · Published · Updated
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Question 1 of 22
1. Question
A room contains 35 kg of dry air and 0.5 kg of water vapor. The total pressure and temperature of air in the room are 100 kPa and 25°C respectively. Given that the saturation pressure for water at 25°C is 3.17 kPa, the relative humidity of the air in the room is
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Question 2 of 22
2. Question
The state of stress at a point under plane stress condition is σxx = 40 MPa, σyy = 100 MPa and τxy = 40 MPa. The radius of the Mohr’s circle representing the given state of stress in MPa is
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Question 3 of 22
3. Question
The inverse Laplace transform of the function F(s) = 1/[s(s+1)] is given by
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Question 4 of 22
4. Question
Calculate the punch size in mm, for a circular blanking operation for which details are given below.
Size of the blank 25 mm
Thickness of the sheet 2 mm
Radial clearance between punch and die 0.06 mm
Die allowance 0.05 mmCorrect
Incorrect

Question 5 of 22
5. Question
In a single pass rolling process using 410 mm diameter steel rollers, a strip of width 140 mm and thickness 8 mm undergoes 10 % reduction of thickness. The angle of bite in radians is
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Question 6 of 22
6. Question
In a DC arc welding operation, the voltagearc length characteristic was obtained as Varc = 20+5l where the arc length l was varied between 5 mm and 7 mm. Here Varc denotes the arc voltage in Volts. The arc current was varied from 400 A to 500 A. Assuming linear power source characteristic, the open circuit voltage and the short circuit current for the welding operation are
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Question 7 of 22
7. Question
Water (Cp = 4.18 kJ/kg.K) at 80°C enters a counterflow heat exchanger with a mass flow rate of 0.5 kg/s. Air (Cp = 1 kJ/kg.K) enters at 30°C with a mass flow rate of 2.09 kg/s. If the effectiveness of the heat exchanger is 0.8, the LMTD (in °C) is
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Question 8 of 22
8. Question
A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by T. If the thermal coefficient of the material is a, Young’s modulus is E and the Poisson’s ratio is v , the thermal stress developed in the cube due to heating is
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Question 9 of 22
9. Question
A solid circular shaft needs to be designed to transmit a torque of 50 N.m. If the allowable shear stress of the material is 140 MPa, assuming a factor of safety of 2, the minimum allowable design diameter in mm is
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Question 10 of 22
10. Question
A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains one red ball and two black balls is
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Question 11 of 22
11. Question
x + 2y + z = 4 , 2x + y + 2z = 5 , x – y + z = 1. The system of algebraic equation given above has
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Question 12 of 22
12. Question
Air enters an adiabatic nozzle at 300 kPa, 500 K with a velocity of 10 m/s. It leaves the nozzle at 100 kPa with a velocity of 180 m/s. The inlet area is 80 cm2. The specific heat of air Cp is 1008 J/kg.K.T he exit temperature of the air is
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Question 13 of 22
13. Question
Air enters an adiabatic nozzle at 300 kPa, 500 K with a velocity of 10 m/s. It leaves the nozzle at 100 kPa with a velocity of 180 m/s. The inlet area is 80 cm2. The specific heat of air Cp is 1008 J/kg.K.T he exit area of the nozzle in cm2 is
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Question 14 of 22
14. Question
For a particular project, eight activities are to be carried out. Their relationships with other activities and expected duration are mentioned in the table below. (separated by )
Activity  Predecessors  Duration (days)
a  –  3
b  a 4
c  a 5
d  a 4
e  b 2
f  d 9
g  c, e 6
h  f, g 2The critical path for the project is
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Question 15 of 22
15. Question
For a particular project, eight activities are to be carried out. Their relationships with other activities and
expected durations are mentioned in the table below. (separated by )
Activity  Predecessors  Duration (days)
a  –  3
b  a 4
c  a 5
d  a 4
e  b 2
f  d 9
g  c, e 6
h  f, g 2If the duration of activity f alone is changed from 9 to 10 days, then the
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Question 16 of 22
16. Question
Which one of the following describes the relationship among the three vectors, iˆ + ˆj + kˆ ,2iˆ + 3 ˆj + kˆ and 5iˆ + 6 ˆj + 4kˆ ?
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Question 17 of 22
17. Question
A circular rod of length ‘L’ and area of crosssection ‘A’ has a modulus of elasticity ‘E’ and coefficient of thermal expansion ‘α’. One end of the rod is fixed and other end is free. If the temperature of the rod is increased by ΔT, then
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Question 18 of 22
18. Question
A metallic rod of 500mm length and 50mm diameter when subjected to a tensile force of 100kN at the ends experiences an increase in its length by .5mm and a reduction in its diameter by .015mm.The Poisson’s ratio of the rod material is
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Question 19 of 22
19. Question
Critical damping is the
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Question 20 of 22
20. Question
A circular object of radius r rolls without slipping on a horizontal level floor with the center having velocity V.The velocity at the point of contact between the object and floor is
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Question 21 of 22
21. Question
For the Given statements
1.Mating spur gear teeth is an example of higher pair
2.A revolute joint is an example of lower pairIndicate the correct answer.
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Question 22 of 22
22. Question
Biot number signifies the ratio of
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