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EKT is the latest buzz among engineering students who have applied for AFCAT 2/2014 of Indian Air Force. Many are wondering how much tougher will be the EKT question paper.

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Here, we have provided official sample EKT question paper for mechanical engineers.

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 0 be the angle between two vectors a and b, then cos 0 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 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 0 to the horizontal and weight being pulled up the inclined plane by vertical effort is (a) sin 0 (b) cos 0 (c) tan 0 (d) cosec 0 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) Z-5? + 57 + 57 (b) Z-5? + 57 + 57 (c) — - — + — + — (c) 5 d / + d 2 4 + d 3 4 dr-d? + d7 + d7 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 w/w„ 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) (a) — a( 1 — c)m o2 r (b) — ( 1 — c)m o2r (c) — 2 a( 1 — c)m o 2r 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 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 (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

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