GATE 2017 ME (ME2) – Previous Year Questions with Solutions
All 65 questions of GATE 2017 ME (ME2) with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – The ways in which this game can be played potentially infinite.
- Question 2 – If you choose plan P, you will have to plan Q, as the two are mutually .
- Question 3 – If a and b are integers and a−b is even, which must always be even?
- Question 4 – A couple has two children. If the older one is a boy, the probability that both are boys is .
- Question 5 – P looks at Q while Q looks at R. P is married; R is not. The number of pairs in which a married person looks at an unmarried person is .
- Question 6 – “If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for the reason of the cleaving of the…
- Question 7 – X bullocks and Y tractors plough a field in 8 days. Halving bullocks and doubling tractors reduces the time to 5 days. X bullocks alone would take…
- Question 8 – Four women P, Q, R, S and five men V, W, X, Y, Z must form four woman–man pairs. P cannot pair with Z, and Y must pair with someone. The number of…
- Question 9 – Everyone on an island is either a knight, who never lies, or a knave, who always lies; everyone knows everyone else’s identity. P says “Both of us are…
- Question 10 – The graph plots lake pollutant concentration on alternate days in winter (average 10°C) and summer (average 30°C). Consider: (i) The difference…
- Question 11 – Two coins are tossed simultaneously. The probability of getting at least one head, to two decimal places, is .
- Question 12 – The divergence of -y i+x j is .
- Question 13 – A 2×2 matrix has determinant 50. If one eigenvalue is 10, the other is .
- Question 14 – The sample is 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. Its mode is .
- Question 15 – The Laplace transform of tet is .
- Question 16 – Mass m is attached to two identical springs of constant k as shown. Its natural frequency is .
- Question 17 – At a point, x= y= z= xz= zx= yz= zy=0 and xy= yx=50 MPa. The maximum normal stress is MPa.
- Question 18 – A loaded cantilever of uniform cross section has bending moment M(x)=5x2+10x N mm, where x is distance in mm from the free end. The shear-force…
- Question 19 – A cantilever of length L and flexural rigidity EI carries a free-end load P. Its bending strain energy, neglecting transverse shear, is .
- Question 20 – A steel bar is held between fixed supports as shown. Its temperature increases by 100°C. Given =1110-6/°C and E = 200 GPa, the induced thermal-stress…
- Question 21 – A ductile machine component has minimum and maximum stresses −50 and 50 MPa. Its corrected endurance limit is 100 MPa and yield strength is 300 MPa.…
- Question 22 – A slider–crank has crank and connecting-rod lengths 100 and 160 mm. The crank rotates counterclockwise at 10 rad/s. The piston-speed magnitude in the…
- Question 23 – Which statement is true?
- Question 24 – Mass m of a perfect gas undergoes an isothermal process from pressure p₁, volume V₁ to pressure p₂, volume V₂. Work on the system is positive. For gas…
- Question 25 – Moist air in a closed metallic vessel is heated. Its .
- Question 26 – For stability of a floating body, the .
- Question 27 – In laminar zero-incidence flow over a flat plate, wall shear is w. Positions x 1,x 2 are measured downstream from the leading edge. If x 1>x 2, then .
- Question 28 – A fin loses 6 W of heat. Its effectiveness is 3 and efficiency is 0.75. The heat loss if the entire fin surface were at base temperature is W.
- Question 29 – A blackbody has emissive power P. When its absolute temperature doubles, its emissive power becomes .
- Question 30 – Which statement about ultrasonic machining is true?
- Question 31 – The crystal structure of aluminium is .
- Question 32 – Given atomic weights Fe = 56 and C = 12, the carbon weight percentage in cementite Fe₃C is .
- Question 33 – A single server has Poisson arrivals and exponential service times. Arrival rate is 12 per hour. Which service rate permits a steady-state finite…
- Question 34 – Linear dimensions P and Q have standard deviations 3 and 4 μm. When assembled, the standard deviation of P+Q is μm.
- Question 35 – A T-shaped cross section is to be made from a rectangular aluminium block. Which process is expected to give the highest strength?
- Question 36 – Evaluate S F n\,dS on x2+y2+z2=9, where F=(x+y) i+(x+z) j+(y+z) k and n is the unit outward normal.
- Question 37 – For 3y+27y=0, y(0)=0, y(0)=2000, the value of y at x = 1 is .
- Question 38 – Matrix A=bmatrix50&70\\70&80bmatrix has eigenvectors x 1=(70, 1-50)T and x 2=( 2-80,70)T for eigenvalues 1, 2. The value of x 1T x 2 is .
- Question 39 – If f(z)=(x2+ay2)+ibxy is analytic in z=x+iy, where i=-1, then .
- Question 40 – Block 2 slides outward on link 1 at uniform speed 6 m/s as shown. Link 1 rotates counterclockwise at constant 20 rad/s. The magnitude of total…
- Question 41 – A compound pendulum has radius of gyration 100 mm about its suspension point. The suspension-to-centre-of-mass distance is 250 mm. With g = 9.81 m/s²,…
- Question 42 – A gear train has gears P, Q, R and S on parallel shafts. Q and R share a shaft. Their tooth counts are 24, 45, 30 and 80 respectively. P rotates at…
- Question 43 – A helical compression spring of circular wire has maximum shear stress 24 MPa under a compressive load. With the same load, both wire diameter and…
- Question 44 – Three masses are connected to a rotating shaft supported at A and B as shown, in the absence of gravity. Neglect shaft and connecting-rod masses.…
- Question 45 – A steel plate fixed to a channel through identical bolts A, B and C carries a 6 kN load as shown. Including direct load and moment, the resultant…
- Question 46 – A single-plate clutch disc has inner and outer radii 20 and 40 mm. Friction coefficient varies as =0.01r with r in mm. It must transmit 18.85 kN mm.…
- Question 47 – Principal stresses are 60, 5 and −40 MPa. Tensile yield strength is 200 MPa. The maximum-shear-stress factor of safety is .
- Question 48 – A uniform rod PQ of length 2 m and mass 10 kg is released from rest as shown. Its ends slide on frictionless faces OP and OQ. Take g = 10 m/s² and…
- Question 49 – The arrangement shown measures gas speed V in a pipe. Gas density is 1 kg/m³, manometer water density is 1000 kg/m³, g = 9.81 m/s² and V = 20 m/s. The…
- Question 50 – A 60 mm water jet strikes a plate with a 40 mm hole. Part passes horizontally through the hole and the rest is deflected vertically as shown. Water…
- Question 51 – For laminar water flow over a sphere, C F=F/( U2D2). Here F is drag, ρ fluid density, U velocity and D diameter. Water density is 1000 kg/m³. At D =…
- Question 52 – In a Rankine cycle, turbine inlet and exit enthalpies are 2803 and 1800 kJ/kg; pump inlet and exit enthalpies are 121 and 124 kJ/kg. Specific steam…
- Question 53 – A calorically perfect gas with cp = 1000 J/kg K enters and leaves a turbine at the same velocity. Inlet and exit temperatures are 1100 and 400 K.…
- Question 54 – One kg of ideal gas, R = 287 J/kg K, undergoes an irreversible process from 1 bar, 300 K to 2 bar, 300 K. Its specific entropy change is J/kg K.
- Question 55 – Air in a closed vessel occupies 2.87 m³ at 300 K. Gauge pressure is 0.5 bar, atmospheric pressure 1 bar and R = 287 J/kg K. Air mass is kg.
- Question 56 – In a counterflow exchanger, water at 1.5 kg/s heats from 40 to 80°C. Oil enters at 120°C and leaves at 60°C. Water and oil specific heats are 4.2 and…
- Question 57 – A 60 mm metal ball initially at 220°C is cooled by an air jet at 20°C with h = 200 W/m² K. Its specific heat, conductivity and density are 400 J/kg K,…
- Question 58 – Factories P and Q supply 7 and 9 units to destinations R and S, each requiring 8 units. Unit transport costs in ₹ are P→R 10, P→S 7, Q→R 3, Q→S 4.…
- Question 59 – A project starts at A and ends at F. Activity (immediate predecessor; duration days): A (none;4), B (A;3), C (A;7), D (B;14), E (C;4), F (D and E;9).…
- Question 60 – A 20 mm rod is stretched to 40 mm, then compressed to 10 mm. With tensile longitudinal strain positive and compressive strain negative, its total true…
- Question 61 – Maximize Z=5x 1+3x 2 subject to x 1+2x 210, x 1-x 28, x 1,x 20. Initially both variables are nonbasic and Z = 0. The Z value in the next simplex…
- Question 62 – A 120 mm wide, 8 mm thick strip passes between two 300 mm diameter rolls to become 7.2 mm thick, retaining its width. Exit speed is 30 m/min. With no…
- Question 63 – A pin of diameter 25+0.020 +0.010 mm is electroplated with thickness 2.0+0.005 mm. Neglect gauge tolerance. The GO ring-gauge diameter for the plated…
- Question 64 – Turning a 20 mm steel bar at 400 rpm gives 20 min tool life; at 200 rpm it gives 60 min. Assuming Taylor’s tool-life equation, life at 300 rpm is…
- Question 65 – In orthogonal machining with rake angle 9°, uncut chip thickness is 0.2 mm and chip thickness varies between 0.25 and 0.4 mm. The ratio of maximum to…