GATE 2018 ME (ME2) – Previous Year Questions with Solutions
All 65 questions of GATE 2018 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 dress her so well that they all immediately her on her appearance.” Choose the best words.
- Question 2 – “The judge’s standing in the legal community, though shaken by false allegations of wrongdoing, remained .” Choose the best word.
- Question 3 – Find the missing group: BC, FGH, LMNO, .
- Question 4 – A circle, square and equilateral triangle have equal perimeters. Which statement is true?
- Question 5 – Evaluate 11+ u(vw)+11+ v(wu)+11+ w(uv).
- Question 6 – Forty students watched films A, B and C over a week. Each watched either only one film or all three. Thirteen watched A, sixteen B and nineteen C. How…
- Question 7 – A wire would enclose 1936 m² if bent into a square. It is cut into two pieces, the longer three times the shorter. The longer is bent into a square…
- Question 8 – A contract must be completed in 52 days. There are 125 identical robots, each operating 7 hours/day. After 39 days, five-sevenths of the work is…
- Question 9 – Identify a house number using these statements: (i) If it is a multiple of 3, it lies from 50 to 59. (ii) If it is NOT a multiple of 4, it lies from…
- Question 10 – An unbiased coin is tossed six times per trial. Four trials give (1) HTHTHT, (2) TTHHHT, (3) HTTHHT, (4) HHHT , where H is head and T tail. Which…
- Question 11 – The Fourier cosine series of an even function is f(x)=a 0+ n=1a n(nx). For f(x)=2x on [0,], find a 2.
- Question 12 – Find the divergence of u=ex( y\, i+ y\, j).
- Question 13 – For a function u(x,t), u t=2u x2 is the .
- Question 14 – If y3dydx+x3=0 with y(0)=1, find y(-1).
- Question 15 – Find the minimum axial compressive load initiating buckling of a pinned–pinned slender column of bending stiffness EI and length L.
- Question 16 – In the frictionless gear train shown, the leftmost 12-tooth gear receives 100 N·m torque. Find the output torque (N·m) of the rightmost 60-tooth gear.
- Question 17 – An additional damper is placed in parallel in the shown underdamped single-degree-of-freedom spring–mass–damper system. The system remains…
- Question 18 – Pre-tensioning a bolted joint is used to .
- Question 19 – A black body at 2000 K has peak emission wavelength 1.45 μm. If the peak wavelength becomes 2.90 μm, its temperature (K) is .
- Question 20 – An ideal gas with constant properties undergoes a quasi-static process from state 1 to 2. Which gives its entropy change?
- Question 21 – Select the correct statement for a 50% reaction stage in a steam turbine.
- Question 22 – L denotes liquid and M solid; subscripts distinguish phases. A eutectoid reaction is .
- Question 23 – During solidification of a pure metal, the casting grains near the mould wall are .
- Question 24 – Match products P: toothpaste tube, Q: metallic pipes, R: plastic bottles, S: threaded bolts with processes 1: centrifugal casting, 2: blow moulding,…
- Question 25 – Feed rate in a slab-milling operation equals .
- Question 26 – Material removal in electric discharge machining occurs through .
- Question 27 – Which is preferred for holding an odd-shaped workpiece in a centre lathe?
- Question 28 – A tyre distributor expects annual demand of 9600 steel-belted radial tyres. Annual holding cost is Rs. 16/tyre and ordering cost Rs. 75/order. Find…
- Question 29 – For A=bmatrix1&2&3\\0&4&5\\0&0&1bmatrix, find (A-1) to two decimal places.
- Question 30 – A hollow circular shaft of inner radius 10 mm, outer radius 20 mm and length 1 m acts as a torsional spring. Its shear modulus is 150 GPa. Find…
- Question 31 – For fully reversed loading, fatigue life follows a=1100N-0.15, where stress amplitude is in MPa and N is life in cycles. Find the maximum allowable…
- Question 32 – A laminar boundary layer forms over a flat plate in viscous air flow. Its thickness at length L is 1. If plate length doubles, find the percentage…
- Question 33 – An engine follows the shown reversible cycle. Find work output in kJ/cycle, to two decimal places.
- Question 34 – Customers arrive at a bank as a Poisson process averaging 30/hour. Find the probability that the time between successive arrivals is between 1 and 3…
- Question 35 – A ball is released from rest at height 1 m inside the frictionless tube shown. Approximating the tube by two straight lines and ignoring the curved…
- Question 36 – For a complex variable z and counterclockwise integration around the unit circle C centred at the origin, C15z-4\,dz=A i. Find A.
- Question 37 – Independent exponentially distributed random variables X 1,X 2 have means 0.5 and 0.25. The distribution of Y=(X 1,X 2) is .
- Question 38 – For r=x i+y j+z k with r =x2+y2+z2, find for = r .
- Question 39 – In the shown rigid body undergoing plane motion, R accelerates relative to P at 10180\ m/s2. If instantaneous acceleration of Q is zero, find…
- Question 40 – The shown rigid rod of length 1 m rests at θ = 45°. End P is dragged right at U = 5 m/s. Find the magnitude of Q’s velocity V (m/s) as it moves along…
- Question 41 – A circular bar is clamped at P and Q. A torque T = 150 N·m acts 100 mm from P, with another 200 mm to Q. Find torsional reactions (TP, TQ) at the ends…
- Question 42 – A cam follower rises by h while the cam rotates through δ radians at constant angular velocity ω. The follower accelerates uniformly for the first…
- Question 43 – A bimetallic cylindrical bar of cross-sectional area 1 m² bonds steel (E = 210 GPa) and aluminium (E = 70 GPa) as shown, with both outer ends clamped.…
- Question 44 – Air flows at 1.5 m³/s through the shown horizontal pipe whose diameter reduces from 400 mm at section 1 to 200 mm at section 2. Density is 1.2 kg/m³;…
- Question 45 – Maximize z=x 1-x 2 subject to x 1+x 210, x 10, x 20, x 25. The problem has .
- Question 46 – Solve y+y-6y=0 with y(0)=0, y(0)=1. Find y(1), to two decimal places.
- Question 47 – A thin-walled cylindrical can with rigid end caps has mean radius R = 100 mm and wall thickness t = 5 mm. It is pressurized and subjected to…
- Question 48 – A square bar of side a is subjected to a steady load of 60 kN and another load fluctuating from −10 kN to 90 kN. Corrected endurance limit is 150 MPa,…
- Question 49 – A force of 100 N acts at the centre of a circular disc of mass 10 kg and radius 1 m resting on a floor as shown. It rolls without slipping. Find the…
- Question 50 – A frictionless circular piston of area 10-2\ m2 and mass 100 kg sinks into a water-filled cylindrical container of equal area. Water density is 1000…
- Question 51 – A 0.2 m thick infinite black plate of conductivity 3.96 W/(m·K) is exposed to infinite black surfaces at 300 K and 400 K across vacuum gaps as shown.…
- Question 52 – Air is held in a non-insulated cylinder with a piston of mass 25 kg and area 100 cm², initially resting against upper stoppers of negligible area.…
- Question 53 – A standard vapour-compression refrigerator condenses at 35°C and evaporates at −10°C, providing 15 kW cooling. Its pressure–enthalpy diagram is shown.…
- Question 54 – Ambient air is at 100 kPa, dry-bulb temperature 30°C and relative humidity 60%. Water saturation pressure at 30°C is 4.24 kPa. Find specific humidity…
- Question 55 – A one-fifth-scale Francis turbine model is tested at head 2 m, volume flow 1 m³/s and 450 rpm. Take water density 10³ kg/m³ and g = 10 m/s². Assume no…
- Question 56 – A metal’s true stress (MPa)–true strain relation is =10200.4. Its initial cross-sectional area at zero stress and strain is 100 mm². Find its area at…
- Question 57 – A steel wire is drawn from diameter d i=10 mm to d f=7.5 mm. Die half-angle α = 5°, friction coefficient μ = 0.1 and average yield stress is 350 MPa.…
- Question 58 – In orthogonal turning of a 100 mm diameter rod, rake angle is +15°, uncut chip thickness 0.5 mm and nominal chip thickness after cutting 1.25 mm. Find…
- Question 59 – Identical HSS twist drills make through holes at constant feed in 20 mm mild-steel plates. In test 1 a drill lasts 300 holes at 150 rpm; in test 2…
- Question 60 – A solid cylindrical riser with height equal to diameter is required for sand casting an 80 mm × 120 mm × 20 mm rectangular plate. Casting…
- Question 61 – Arc labels give lengths in the shown directed project graph. Find the shortest path length from node 1 to node 6.
- Question 62 – EDM machines a circular hole of diameter 25 mm and depth 20 mm. Material removal rate (mm³/min) is 4104IT-1.23, with I = 300 A and material melting…
- Question 63 – A welding operation uses 30 V and 100 A. Weld-bead cross-sectional area is 20 mm². Workpiece and filler are titanium with specific melting energy 14…
- Question 64 – Steam in a thermal power plant condenser condenses at 30°C. Cooling water enters tubes at 14°C and exits at 22°C. Total tube surface area is 50 m² and…
- Question 65 – A spark-ignition vehicle engine follows an air-standard Otto cycle with γ = 1.4. It produces 70 kW while consuming 10.3 kg fuel/hour of calorific…