GATE Mechanical Engineering Test 2 Online Question Answers

1. Which one of the following configurations has the highest fin effectiveness?

2. An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X's shock absorbers, 96% are reliable and of Y's shock absorbers, 75% are reliable.

The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is:

3. An ideal gas of mass m and temperature T₁ undergoes a reversible isothermal process from an initial pressure P₁ to final pressure P₂. The heat loss during the process is Q. The entropy change ∆S of the gas is:

4.

5. The area enclosed between the straight line y = x and the parabola y = x² in the x - y plane is:

6. During normalizing process of steel, the specimen is heated:

7. For an opaque surface, the absorptivity (α), transitivity (τ) and reflectivity (ρ) are related by the equation:

8. Given the sequence of terms, AD CG FK JP, the next term is:

9. Consider the function f (x) = |x| in the interval - 1 ≤ x ≤ 1. At the point x = 0, f (x) is:

10. Wanted temporary, part-time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High-School pass, must be available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed.

Which one of the following is the best inference for the above advertisement?

11. The velocity triangles at the inlet and exit of the rotor of a turbo machine are shown. V denotes the absolutely velocity of the fluid. W denotes the relative velocity of the fluid, and U denotes the blade velocity. Subscripts 1 and 2 refer to inlet and outlet respectively. If V₂ = W₁ and V₁ = W₂, then the degree of reaction is:

12. A room containing 35 kg of dry air and 0.5 g of water vapor. The total pressure and temperature of the air in the room are 100 kPa and 25^oC respectively. Given that the saturation pressure for water at 25^oC is 3.17kPa, the relative humidity of the air in the room is:

13. A concentrated mass m is attached at the centre of a rod of length 2L as shown in the figure. The rod is kept in a horizontal equilibrium position by a spring of stiffness k. For very small amplitude of vibration, neglecting the weights of the rod and spring, the undamped natural frequency of the system is:

14. Choose the grammatically incorrect sentence:

15. In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the angular velocity (rad/s) of the follower link for the instant shown in the figure is:

16. Complete the following sentence with appropriate word:

Despite the ________ the mission succeeded in its attempt to resolve the conflict.

17. An incompressible fluid flows over a flat plate that with zero pressure gradient. The boundary layer thickness is 1 mm at a location where the Reynolds number is 1000. If the velocity of the fluid alone is increased by a factor of 4, then the boundary layer thickness at the same location, in mm will be:

18. The following are the data for two crossed helical gears used for speed reduction:

Gear I:  Pitch circle diameter in the plane of rotation 80 mm and helix angle 30^o

Gear II: Pitch circle diameter in the plane of rotation 120 mm and helix angle 22.5^o

If the input speed is 1440 rpm, the output speed in rpm is:

19. 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 C_p is 1008 J/kg.K. The exit temperature of the air is:

20. Choose the most appropriate alternative from the options given below to complete the following sentence:

Suresh's dog is the one _________ was hurt in the stampede.

21. In a DC arc welding operation, the voltage arc length characteristic was obtained as V_arc = 20 + 5l where the arc length l was varied between 5 mm and 7 mm. Here V_arc denotes the arc voltage in Volts. The arc current was varied from 400A to 500A. Assuming linear power source characteristic, the open circuit voltage and short circuit current for the welding operation are:

22. A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by ∆T. If the thermal coefficient of material is α, Young's modules is E and the Poisson's ratio is v, the thermal stress developed in the cube due to heating is:

23. A CNC vertical milling machine has to cut a straight lot of 10 mm width and 2 mm depth by a cutter of 10 mm diameter between points (0, 0) and (100, 100) on the XY plane (dimensions in mm). The feed rate used for milling is 50 mm/min. Milling time for the slot (in seconds) is:

24.

25. A solid disc of radius r rolls without slipping on the horizontal floor with angular velocity ω and angular acceleration α. The magnitude of acceleration of the point of contact on the disc is:

26. A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x - 0.1x² where y is the height of the arch in meters. The maximum possible height of the arch is:

27. In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the material removal rate:

28. The state of stress at a point under plane stress condition is σ_xx = 40 MPa; σ_yy = 100 MPa and τ_xy = 40 MPa. The radius of the Mohr's circle representing the given state of stress in MPa is:

29. Which of the following options is the closest in meaning to the word 'Mitigate'?

30. 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:

31. Which one of the following is not a decision taken during the aggregate production planning stage?

32.

33. Oil flows through a 200 mm diameter horizontal case iron pipe (friction factor f = 0.0225) of length 500 m. The volumetric flow rate is 0.2 m³/s. The head loss (in m) due to friction is (assume g = 9.81 m/s²).

34. The cost function for a product in a firm is given by 5q², where q is the amount of production. The firm can sell the product of a market price of र 50 per unit. The number of units to be produced by the form such that the profit is maximized is:

35. 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:

36. At x = 0, the function f (x) = x³ + 1 has

37. 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 C_P is 180 J/kg.K. The exit area of the nozzle in cm² is:

38. For a long slender column of uniform cross-section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is:

39. A cantilever beam of Length L is subjected to a moment M at the free end. The moment of inertia of the beam cross-section about the neutral axis is I and the Young modulus is E. The magnitude of the maximum deflection is:

40. Which of the following assertions are correct?

P: Adding 7 to each entry in a list adds 7 to the mean of the list.

Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list

R: Doubling each entry in a list doubles the mean of he list

S: Doubling each entry in a list leaves the standard deviation of the list unchanged