GATE Mechanical Engineering Test 3 Question Answers Online

1. Choose the most appropriate word to complete the sentence:

I contemplated __________ Singapore for my vacation but decided against it.

2. The operation in which oil is permeated into the pores of a powder metallurgy product is known as:

3. The crank radius of a single-cylinder I. C. engine is 60 mm and the diameter of the cylinder is 80 mm. The swept volume of the cylinder in cm³ is:

4. Which one among he following welding processes uses non-consumable electrode?

5. A disc of mass m is attached to a spring of stiffness k as shown in the figure. The disc rolls without slipping on a horizontal surface. The natural frequency of vibration of the system is:

6. A 1 kg block is resting on a surface with coefficient of friction µ = 0.1. A force of 0.8 N is applied to the block as shown in figure. The friction force is:

7. If a mass of moist air in an airtight vessel is heated to a higher temperature, then:

8. A pump handling a liquid raises its pressure from 1 bar to 30 bar. Take the density of the liquid as 990 kg/m³,. The isentropic specific work done by the pump in kJ/kg is:

9. The word Kanban is most appropriately associated with:

10. A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day he can clear all orders. Alternatively, if he uses only 3 trucks, then all the orders are cleared at the end of the 10th day. What is the minimum number of trucks required so that there will be no pending order at the end of the 5th day?

11. Choose the word out of given options which is most nearly opposite in meaning to the word Amalgamate.

12. P, Q, R and S are four types of dangerous microbes recently found in a human habitat. The area of each circle with its diameter printed in brackets represents the growth of a single microbe surviving human immunity system with 24 hours of entering the body. The danger to human beings varies proportionately with the toxicity, potency and growth attributed to a microbe shown in the figure below.

A pharmaceutical company is contemplating the development of a vaccine against the most dangerous microbe. Which microbe should the company target in its first attempt?

13.

14. Eigen values of a real symmetric matrix are always:

15. For the four-bar linkage shown in the figure, the angular velocity of link AB is 1 rad/s. The length of link CD is 1.5 times the length of link AB. In the configuration shown, the angular velocity of link CD is rad/s is:

16. A mass of 1kg is attached to two identical spring each with stiffness k = 20 kN/m as shown in the figure. Under frictionless condition, the natural frequency of the system in Hz is close to:

17. Choose the most appropriate word to complete the sentence:

If you are trying to make a strong impression of your audience, you cannot do so by being understated, tentative or ___________ .

18. The values of enthalpy of steam at the inlet and outlet of a steam turbine in a Rankine cycle are 2800 kJ/kg and 1800 kJ/kg respectively. Neglecting pump work, the specific steam consumption in kg/kW-hour is:

19. In a condenser of a power plant, the steam condenses at a temperature of 60^oC. The cooling water enters at 30^oC and leaves at 45^oC. The logarithmic mean temperature difference (LMTD) of the condenser is:

A. 16.2^oC

B. 21.6^oC

C. 30^oC

D. 37.5^oC

20. Figure shows he schematic for the measurement of velocity of air (density = 1.2 kg/m³) through a constant-area duet using a pilot tube and a water-tube manometer. The differential head of the water (density = 1000 kg/m³) in the two columns of the manometer is 10 mm. Take acceleration due to gravity as 9.8 m/s². The velocity of the air in m/s is:

21. A single-point cutting tool with 12^o rake angle is used to machine a steel work-piece. The depth of cut, i.e. uncut thickness is 0.81mm. The chip thickness under orthogonal machining condition is 1.8 mm. The shear angle is approximately:

22. A streamline and an equipotential line in a flow field:

23. A double-parallelogram mechanism is shown in the figure. Note that PQ is a single link. The mobility of the mechanism is:

24. An ideal Brayton cycle, operating between the pressure limits of 1 bar and 6 bar, has minimum and maximum temperatures of 300 K and 1500 K. The ratio of specific heats of working fluid is 1.4. The approximate final temperatures  in Kelvin at the end of the compression and expansion processes are respectively:

25. A simply supported beam PQ is loaded by a moment of 1kN-m at the mid-span of the beam as shown in the figure. The reaction forces R_p and R_Q at supports P and Q respectively are:

26. Which of the following options is closest in the meaning to the word Inexplicable.

27. Heat and work are:

28. The variable cost (V) of manufacturing a product varies according to the equation V = 4q, where q is the quantity produced. The fixed cost (F) of production of same product reduces with q according to the equation F = 100/q. How many units should be produced to minimize the total cost (V + F)?

29. Few school curricula include a unit on how to deal with bereavement and grief, and yet all students at some point in their lives suffer from losses through death and parting.

Based on the above passage which topic would not be included in a unit on bereavement?

30. The contents of a well-insulated tank are heated by a resistor of 23Ω in which 10A current is flowing. Consider the tank along with its contents as thermodynamic system. The work done by the system and the heat transfer to the system are positive. The rates of heat (Q), work (W) and change in internal energy (∆U) during the process in kW are:

31. Two identical ball bearings P and Q are operating at loads 30 kN and 45 kN respectively. The ratio of the life of bearing P to the life of bearing Q is:

32. A cubic casting of 50 mm side undergoes volumetric solidification shrinkage and volumetric solid contraction of 4% and 6% respectively. No riser is used. Assume uniform cooling in all directions. The side of the cube after solidification and contraction is:

33. The product of two complex numbers 1  + i and 2 - 5i is:

34. A spherical steel ball of 12mm diameter is initially at 1000 K. It is slowly cooled in a surrounding of 300 K. The heat transfer coefficient between the steel ball and the surrounding is 5 W/m²K. The thermal conductivity of steel is 20 W/mK. The temperature difference between the center and the surface of the steel ball is:

35. A stone with mass of 0.1kg is catapulted as shown in the figure. The total force F_x (in N) exerted by the rubber band as a function of distance x (in m) is given by F_x = 300x². If the stone is displaced by 0.1m from the un-stretched position (x=0) of the rubber band, the energy stored in the rubber band is:

36. Green sand mould indicates that:

37. The maximum possible draft in cold rolling of sheet increases with the:

38. The crystal structure of austenite is:

39. A container originally contains 10 litres of pure spirit. From this container 1 litre of spirit is replaced with 1 litre of water. Subsequently, 1 litre of mixture is again replaced with one litre of water and this process is repeated one more time. How much spirit is now left in the container?

40. An unbiased coin is tossed five times. The outcome of each toss is either a head or a tail. The probability of getting at least one head is: