Instructions for Candidates

Time Allotted: 30 Minutes

1. Total number of Questions 50. Each Question is of three marks.

2. One mark will be deducted for every wrong answer.

3. Do not write or mark on Question Paper.

4. Question Paper to be returned before leaving the Exam Hall.

Q1. If sin x+(sin x)2  =1, then

(a) cos x+(cos x)2  =1

(b) cos x – (cos x)2  =1

(c) (cos x)2 – (cos x) =1

(d) (cos x)2 + (cos x)4 =1

Q2. Each edge of a cube is increased by 50%. The percentage increase in the surface area is (a) 50 (b) 125 (c) 150 (d) 300

Q3. The value of log 4 + log 5 – log 2 is (a) 1 (b) 7 (c) 10 (d) 9/2

Q4. The probability of drawing an ace or a spade or both from a deck of cards is (a) 4/52 (b) 13/52 (c) 1/52 (d) 16/52

Q5. Let θ be the angle between two vectors a and b, then cos θ is equal to (a) mod a + mod b (b) (a )+ mod b (c) mod (a+b) (d) ab/[ mod a x mod b]

Q6. Pressure is (a) scalar (b) vector (c) pseudo vector (d) Poynting vector

Q7. The force of attraction or repulsion between charges follows (a) square law (b) inverse square law (c) both (a) and (b) (d) none of (a) and (b)

Q8. The force experienced by a conductor of length L carrying current I placed parallel to the magnetic field of flux density B is (a) BIL (b) Zero (c) HIL (d) IL/B

Q9. A wave undergoes reflection from a rigid boundary. One of its characteristic parameters that changes is (a) frequency (b) phase (c) velocity (d) wavelength

Q10. The half-life period of a radioactive element is 140 days . After 560 days one gram of the element will reduce to (a) 1/2 g (b) 1/4 g (c) 1/8 g (d) 1/16 g

Q11. Specify the sequence correctly (a) grain growth, recrystallisation, stress relief (b) stress relief, grain growth, recrystallisation (c) stress relief, recrystallisation, grain growth (d) grain growth, stress relief, recrystallisation

Q12. An eutectoid steel consists of (a) wholly pearlite (b) wholly austenite (c) pearlite and ferrite (d) pearlite and cementite

Q13. Cast iron is a (a) ductile material (b) malleable material (c) brittle material (d) tough material

Q14. The percentage of carbon in cast iron varies from (a) 0.1 to 0.5 (b) 0.5 to 1 (c) 1 to 1.7 (d) 1.7 to 4.5

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Q15. The hardness of steel depends upon the (a) amount of cementite it contains (b) amount of carbon it contains (c) contents of alloying elements (d) method of manufacture of steel

Q16. Blast furnace is used to produce (a) pig iron (b) cast iron (c) wrought iron (d) steel

Q17. For a constant volume process, work done is (a) zero (b) positive (c) negative (d) none of the above

Q18. Two balls of equal mass and of perfectly elastic material are lying on the floor. One of the balls with velocity v is made to strike the second ball. Both the balls after impact will move with a velocity (a) V (b) v/2 (c) v/4 (d) v/8

Q19. The velocity ratio in case of an inclined plane inclined at angle θ to the horizontal and weight being pulled up the inclined plane by vertical effort is (a) sin θ (b) cos θ (c) tan θ (d) cosec θ

Q20. Internal gears can be made by (a) hobbing (b) shaping with pinion cutter (c) shaping with rack cutter (d) milling

Q21. Cast iron during machining produces (a) continuous chips (b) discontinuous chips (c) continuous chips with built-up-edge (d) none of these

Q22. In ideal machines, mechanical advantage is __________ velocity ratio. (a) equal to (b) less than (c) greater than (d) any of the above

Q23. Gantt chart is used for (a) inventory control (b) material handling (c) production schedule (d) machine repair schedules

Q24. The value of bulk modulus of a fluid is required to determine (a) Reynold’s number (b) Froude’s number (c) Mach number (d) Euler’s number

Q25. In one dimensional flow, the flow (a) is steady and uniform (b) takes place in straight line (c) takes place in curve (d) takes place in one direction

Q26. In second type of levers, (a) load is in between the fulcrum and effort (b) effort is in between the fulcrum and load (c) fulcrum is in between the load and effort (d) none of these

Q27. In a flange coupling, the flanges are coupled together by means of (a) bolts and nuts (b) studs (c) headless taper bolts (d) none of these

Q28. A compound pipe of diameter d1, d2 and d3 having lengths l1, l2 and l3 is to be replaced by an equivalent pipe of uniform diameter d and of the same length (l) as that of the compound pipe. The size of the equivalent pipe is given by (a) (b) (c) (d)

Q29. A systematic job improvement sequence will consist of (a) motion study (b) time study (c) job enrichment (d) all of these

Q30. Euler’s formula holds good only for (a) short columns (b) long columns (c) both short and long columns (d) weak columns

Q31. The object of caulking in a riveted joint is to make the joint (a) free from corrosion (b) stronger in tension (c) free from stresses (d) leak-proof

Q32. Refrigeration works on (a) Otto cycle (b) Diesel cycle (c) Carnot cycle (d) Reverse Carnot cycle

Q33. Compression members always tend to buckle in the direction of the (a) axis of load (b) perpendicular to the axis of load (c) minimum cross section (d) least radius of gyration

Q34. A thin spherical shell of diameter (d) and thickness (t) is subjected to an internal pressure (p). The stress in the shell material is (a) pd/t (b) pd/2t (c) pd/4t (d) pd/8t

Q35. In a vibrating system, if the actual damping coefficient is 40 N/m/s and critical damping coefficient is 420 N/m/s, then logarithmic decrement is equal to (a) 0.2 (b) 0.4 (c) 0.6 (d) 0.8

Q36. For high speed engines, the cam follower should move with (a) uniform velocity (b) simple harmonic motion (c) uniform acceleration and retardation (d) cycloidal motion

Q37. If ω/ωn is very high for a body vibrating under steady state vibrations, the phase angle for all values of damping factors, will tend to approach (a) 0° (b) 90° (c) 180° (d) 360°

Q38. When the relation between the controlling force (Fc) and radius of rotation (r) for a spring controlled governor is Fc = ar + b, then the governor will be (a) stable (b) unstable (c) isochronous (d) none of these

Q39. The maximum or minimum value of the swaying couple is (a) (b) ( ) (c) √ ( ) (d) ( )

Q40. The frictional torque transmitted in a flat pivot bearing with assumption of uniform pressure is __________ as compared to uniform wear. (a) Less (b) more (c) same (d) any of the above

Q41. A cycle consisting of one constant pressure, one constant volume and two isentropic processes is known as (a) Carnot cycle (b) Stirling cycle (c) Otto cycle (d) Diesel cycle

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Q42. The compressed air may be used (a) in gas turbine plants (b) for operating pneumatic drills (c) in starting and supercharging of I.C. engines (d) all of the above

Q43. The stagnation pressure rise in a centrifugal compressor takes place (a) in the diffuser only (b) in the impeller only (c) in the diffuser and impeller (d) in the inlet guide vanes only

Q44. In a jet propulsion (a) the propulsive matter is ejected from within the propelled body (b) the propulsive matter is caused to flow around the propelled body (c) its functioning does not depend upon presence of air (d) none of the above

Q45. Which of the following statement is wrong? (a) In a two stage reciprocating air compressor with complete intercooling, maximum work is saved. (b) The minimum work required for a two stage reciprocating air compressor is double the work required for each stage. (c) The ratio of the volume of free air delivery per stroke to the swept volume of the piston is called volumetric efficiency. (d) none of the above

Q46. Intercooling in multi-stage compressors is done (a) to cool the air during compression (b) to cool the air at delivery (c) to enable compression in two stages (d) to minimise the work of compression

Q47. The ratio of work done per cycle to the stroke volume of the compressor is known as (a) compressor capacity (b) compression ratio (c) compressor efficiency (d) mean effective pressure

Q48. The accuracy of micrometers, calipers, dial indicators can be checked by a (a) feeler gauge (b) slip gauge (c) ring gauge (d) plug gauge

Q49. Which resistive component is designed to be temperature sensitive? (a) thermistor (b) rheostat (c) potentiometer (d) photoconductive cell

Q50. In oblique projection, important shapes should be in this position relative to the viewing plane: (a) parallel (b) perpendicular (c) adjacent (d) rotated