GATE 2017 ME (ME1) – Previous Year Questions with Solutions
All 65 questions of GATE 2017 ME (ME1) with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – He was one of my best and I felt his loss .
- Question 2 – As the two speakers became increasingly agitated, the debate became .
- Question 3 – A right circular cone of base radius 5 cm and height 12 cm is rolled on the ground while its apex P stays fixed, until the marked base point Q touches…
- Question 4 – A company has 100 employees: 45 earn Rs. 20,000 per month, 25 earn Rs. 30,000, 20 earn Rs. 40,000, 8 earn Rs. 60,000 and 2 earn Rs. 150,000. What is…
- Question 5 – P, Q and R discuss S’s car collection. P says S has at least 3 cars, Q says S has fewer than 3, and R says S has at least one. Exactly one of P, Q and…
- Question 6 – “Here, throughout the early 1820s, Stuart continued to fight his losing battle to allow his sepoys to wear their caste-marks and their own choice of…
- Question 7 – In the subtraction below, each underscore is one missing digit. What is the sum of the missing digits?
- Question 8 – Let S 1 consist of (x,y) satisfying x-1 2, y+2 3. Let S 2 satisfy x-y-2, y1, x3. Find the area of S=S 1 S 2.
- Question 9 – Famous sportsmen Mark and Steve are brothers who play for country K. Mark tells James of country E, “There is no way you are good enough to play for…
- Question 10 – Lactobacillus growth in milk leads to curd formation when population density reaches 0.8 in suitable units. The graph shows density in 1 litre at 25°C…
- Question 11 – Find the product of the eigenvalues of P=pmatrix2&0&1\\4&-3&3\\0&2&-1pmatrix.
- Question 12 – Evaluate x0x3- xx.
- Question 13 – For a constant c>1, the PDE for u(x,y) is u/ y+c\, u/ x=0. Its solution is
- Question 14 – The equation d2y/dx2+16y=0 has boundary conditions y(0)=1 and y(/2)=-1. It has
- Question 15 – A fair six-faced die is rolled a large number of times. Find the mean of the outcomes.
- Question 16 – For steady viscous incompressible flow through a constant-diameter circular pipe, the fully developed mean velocity is constant. Which statement about…
- Question 17 – The two-dimensional velocity field is V=(5+a 1x+b 1y) i+(4+a 2x+b 2y) j, with constant coefficients. Which condition is required for incompressible…
- Question 18 – Water of density 1000 kg/m³ flows through a horizontal uniform pipe at 1 kg/s. The pressure drop is 100 kPa. Find the minimum pumping power in watts.
- Question 19 – Which is NOT a rotating machine?
- Question 20 – Saturated steam at 100°C condenses outside a tube. Cold fluid enters the tube at 20°C and leaves at 50°C. Find the log mean temperature difference in…
- Question 21 – An ideal gas has molar constant-volume specific heat equal to 2.5 times the universal gas constant, R = 8.314 J/(mol K). If its temperature rises by…
- Question 22 – A heat pump absorbs 10 kW from outside at 250 K and consumes 15 kW of work. It heats a room maintained at 300 K. Find its coefficient of performance.
- Question 23 – The Poisson ratio of a perfectly incompressible linear-elastic material is
- Question 24 – A unit-mass particle moves in a plane with polar coordinates r(t)=t2, (t)=t. Find its kinetic energy at t=2.
- Question 25 – A solid circular steel shaft transmits 40 kW at 500 rpm. Its diameter is 40 mm. Find the maximum shear stress in MPa.
- Question 26 – A beam has a circular cross-section of diameter d. The ratio of its second moment of area about the neutral axis to its section modulus is
- Question 27 – The figure shows velocity versus time for straight-line motion. Find the distance travelled from t = 0 to t = 5 s, in metres.
- Question 28 – A viscously damped spring–mass system obeys m x+c x+kx=F(t). Its damping ratio is
- Question 29 – The riveted lap joint shown carries tension F. Rivet diameter is d, plate width is W and maximum permissible tensile stress is S f. Assuming identical…
- Question 30 – Cylindrical pins have specified diameter 150.020 mm. The process mean is 14.995 mm and standard deviation 0.004 mm. Find process capability index C p.
- Question 31 – A material has just begun yielding in metal forming, with principal stresses 1=180 MPa, 2=-100 MPa, 3=0. By von Mises theory, find its uniaxial yield…
- Question 32 – Match processes P electrical-discharge machining, Q ultrasonic machining, R chemical machining, S ion-beam machining with characteristics 1 no…
- Question 33 – In arc welding, travel speed is doubled while all other process parameters remain constant. The weld-bead cross-sectional area will
- Question 34 – A metric thread of pitch 0.8 mm is cut on a lathe whose lead screw has 1.5 mm pitch. If spindle speed is 1500 rpm, find lead-screw speed in rpm.
- Question 35 – On the engineering stress–strain curve for mild steel, ultimate tensile strength refers to
- Question 36 – Consider P=pmatrix1/2&0&1/2\\0&1&0\\-1/2&0&1/2pmatrix. Which statement is INCORRECT?
- Question 37 – For V=2yz i+3xz j+4xy k, find ( V).
- Question 38 – The parametric curve x=( u/2), y=( u/2) for 0 u1 is rotated through 360° about the X-axis. Find the generated surface area.
- Question 39 – P(0,3), Q(0.5,4) and R(1,5) lie on y = f(x). Integrate from x = 0 to 1 using both trapezoidal and Simpson rules. The difference between the results is
- Question 40 – A flat-plate boundary layer has profile u/U =[ y/(2)], where is boundary-layer thickness. If displacement thickness is *, find */.
- Question 41 – Steady incompressible turbulent flow passes through equal-length pipes of diameters d 1,d 2 in series. Their friction factor is f=KRe-n with positive…
- Question 42 – A steady velocity field is V=(-x2+3y) i+2xy j. Find the magnitude of particle acceleration at (1,-1).
- Question 43 – One kg of ideal gas has R = 400 J/(kg K), cᵥ = 1000 J/(kg K), and starts at 1 bar and 300 K in a sealed rigid cylinder. During an adiabatic process a…
- Question 44 – Air passes through a gas turbine with pressure ratio 10, inlet temperature 1200 K, c p=1040 J/(kg K), =1.4 and isentropic efficiency 0.9. Find actual…
- Question 45 – Moist air is an ideal-gas mixture of water vapour and dry air, with molecular weights 18 and 28.84 respectively. At 100 kPa, 30°C and 55% relative…
- Question 46 – Air contains 79% nitrogen and 21% oxygen on a molar basis. Methane burns completely with 50% excess air. Find the molar percentage of nitrogen in the…
- Question 47 – Black surfaces AB and BC have lengths 5 m and 6 m, respectively, and extend infinitely in the third dimension. Their orientation and surface labels…
- Question 48 – A long solid cylindrical rod of diameter 10 mm generates heat uniformly at 4107 W/m³. Thermal conductivity is 25 W/(m K). At steady state, find the…
- Question 49 – An initially stress-free massless elastic beam has length L and circular diameter d L, with both ends fixed between rigid walls. Material constants…
- Question 50 – A 100 kg point mass falls from H = 10 mm onto a massless elastic bar of area 100 mm², length 1 m and Young’s modulus 100 GPa, fixed at its base as…
- Question 51 – Two disks A and B of equal mass m and radius R roll without slipping from rest down identical inclined planes. A has all mass concentrated at its rim,…
- Question 52 – A rectangular region in plane strain has undeformed corners P(0,0), Q(4,0), R(4,3), S(0,3). Uniform strains are xx=0.001, yy=0.002, xy=0.003. Find the…
- Question 53 – A machine element has ultimate strength u=600 N/mm² and endurance limit en=250 N/mm². Its fatigue curve is shown on a log–log plot. For a life of…
- Question 54 – A horizontal bar fixed at x=0 is 1 m long with area 100 mm². Its modulus varies as E(x)=100e-x GPa, where x is measured in metres. A 10 kN axial…
- Question 55 – An epicyclic gear train has a fixed outer ring, a sun rotating counterclockwise at 100 rpm, and 50, 25 and 100 teeth on sun, planet and ring…
- Question 56 – A thin uniform rigid bar of length L and mass M is hinged at O, L/3 from its left end. Springs of stiffness k support both ends. A point mass m=M/4 is…
- Question 57 – An inline slider-crank has crank length 3 m and connecting-rod length 4 m. At an instant when the crank and rod are perpendicular, slider speed is 1…
- Question 58 – A cylindrical cup 10 mm deep and 15 mm in diameter is drawn from a circular blank. Neglect thickness variation. Find blank diameter in mm, to two…
- Question 59 – A vertical CNC mill uses metric units and absolute dimensions. The program is: The coordinates of the circular-arc centre are
- Question 60 – The surface-roughness profile is triangular as shown, with peak-to-valley height 20 μm. Find the centre-line average roughness R a in μm.
- Question 61 – Models P and Q earn profits of Rs. 100 and Rs. 80 per piece and take 5 and 3 hours to produce. Available time is 150 hours and total batch size is 40.…
- Question 62 – Four jobs P, Q, R, S are available together for one machine. Their processing times are 15, 9, 22 and 12 days respectively. Find the shortest possible…
- Question 63 – A 200 mm long block is slab milled with a 34 mm diameter cutter at depth of cut 2 mm and table feed 18 mm/min. Approach and overtravel are equal. Find…
- Question 64 – A sand-mould sprue has top diameter 20 mm and height 200 mm. Molten metal enters at 0.5 m/s. The mould is well ventilated; take g = 9.8 m/s² and…
- Question 65 – Two tools obey Taylor tool-life equations: Tool 1, VT0.1=150; Tool 2, VT0.3=300. V is cutting speed in m/min and T is life in minutes. Find the…