GATE 2016 ME (ME1) – Previous Year Questions with Solutions
All 65 questions of GATE 2016 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 – Which of the following is CORRECT with respect to grammar and usage? Mount Everest is .
- Question 2 – The policeman asked the victim of a theft, “What did you ?”
- Question 3 – Despite the new medicine’s in treating diabetes, it is not widely.
- Question 4 – In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe fruits. Of the unripe fruits, 45% are apples. Of the ripe…
- Question 5 – Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km away from where I live. Arun is farther away than Ahmed but…
- Question 6 – A person moving through a tuberculosis prone zone has a 50% probability of becoming infected. However, only 30% of infected people develop the…
- Question 7 – In a world filled with uncertainty, he was glad to have many good friends. He had always assisted them in times of need and was confident that they…
- Question 8 – Leela is older than her cousin Pavithra. Pavithra’s brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to…
- Question 9 – If q-a=1/r, r-b=1/s and s-c=1/q, the value of abc is .
- Question 10 – P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working…
- Question 11 – The system bmatrix2&5\\-4&3bmatrixbmatrixx\bmatrix=bmatrix2\\-30bmatrix has solution (x,y) .
- Question 12 – For f(t) defined for t0, its Laplace transform F(s) is .
- Question 13 – f(z)=u(x,y)+iv(x,y) is analytic in z=x+iy, where i=-1. If u(x,y)=2xy, then v(x,y) may be .
- Question 14 – Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is µ. The standard deviation for this distribution is…
- Question 15 – Solve x=10 x by Newton–Raphson with initial guess x=/4. The predicted root after the first iteration, to two decimal places, is .
- Question 16 – A rigid ball of weight 100 N is suspended with the help of a string. The ball is pulled by a horizontal force F such that the string makes an angle of…
- Question 17 – A point mass M is released from rest and slides down a spherical bowl (of radius R) from a height H as shown in the figure below. The surface of the…
- Question 18 – Two hollow bars of the same material have concentric circular cross sections as shown, with r 3>r 1, r 4>r 2 and equal cross-sectional areas. Their…
- Question 19 – A cantilever beam having square cross-section of side a is subjected to an end load. If a is increased by 19%, the tip deflection decreases…
- Question 20 – A car is moving on a curved horizontal road of radius 100 m with a speed of 20 m/s. The rotating masses of the engine have an angular speed of 100…
- Question 21 – A single degree of freedom spring mass system with viscous damping has a spring constant of 10 kN/m. The system is excited by a sinusoidal force of…
- Question 22 – The spring constant of a helical compression spring DOES NOT depend on
- Question 23 – The instantaneous streamwise velocity of turbulent flow is given by u(x,y,z,t)= u(x,y,z)+u(x,y,z,t). The time average of the fluctuating velocity u is…
- Question 24 – For a floating body, buoyant force acts at the
- Question 25 – A plastic sleeve of outer radius r0 = 1 mm covers a wire (radius r = 0.5 mm) carrying electric current. Thermal conductivity of the plastic is 0.15…
- Question 26 – Which of the following statements are TRUE with respect to heat and work? (i) They are boundary phenomena (ii) They are exact differentials (iii) They…
- Question 27 – Propane (C3H8) is burned in an oxygen atmosphere with 10% deficit oxygen with respect to the stoichiometric requirement. Assuming no hydrocarbons in…
- Question 28 – Consider two hydraulic turbines having identical specific speed and effective head at the inlet. If the speed ratio (N1/N2) of the two turbines is 2,…
- Question 29 – The INCORRECT statement about regeneration in vapor power cycle is that
- Question 30 – The “Jominy test” is used to find
- Question 31 – Under optimal conditions of the process the temperatures experienced by a copper work piece in fusion welding, brazing and soldering are such that
- Question 32 – The part of a gating system which regulates the rate of pouring of molten metal is
- Question 33 – The non-traditional machining process that essentially requires vacuum is
- Question 34 – In an orthogonal cutting process the tool used has rake angle of zero degree. The measured cutting force and thrust force are 500 N and 250 N,…
- Question 35 – Match the following: P. Feeler gauge I. Radius of an object Q. Fillet gauge II. Diameter within limits by comparison R. Snap gauge III. Clearance or…
- Question 36 – For f(x)=2x3-3x2 on [-1,2], the global minimum is .
- Question 37 – If y=f(x) satisfies y+9y=0, y(0)=0, y(/2)=2, then y(/4) is .
- Question 38 – The value of - x/(x2+2x+2)\,dx, evaluated by contour integration and residues, is .
- Question 39 – Use Gauss–Seidel in the given equation order: x 1+2x 2+3x 3=5, 2x 1+3x 2+x 3=1, 3x 1+2x 2+x 3=3. With x 1=x 2=x 3=0 initially, x 3 after the first…
- Question 40 – A block of mass m rests on an inclined plane and is tied by a string to the wall as shown. The coefficient of static friction is 0.25. The string can…
- Question 41 – A two-member truss PQR is supporting a load W. The axial forces in members PQ and QR are respectively
- Question 42 – A horizontal bar with a constant cross-section is subjected to loading as shown in the figure. The Young’s moduli for the sections AB and BC are 3E…
- Question 43 – The figure shows a beam cross section subjected to bending. Its area moment of inertia about its base is mm⁴. All dimensions in the figure are in mm.
- Question 44 – A simply-supported beam of length 3L is subjected to the loading shown in the figure. It is given that P = 1 N, L = 1 m and Young’s modulus E = 200…
- Question 45 – A slider crank mechanism with crank radius 200 mm and connecting rod length 800 mm is shown. The crank is rotating at 600 rpm in the counterclockwise…
- Question 46 – In the gear train shown, gear 3 is carried on arm 5. Gear 3 meshes with gear 2 and gear 4. The number of teeth on gear 2, 3, and 4 are 60, 20, and…
- Question 47 – A solid disc of radius a and mass M is connected to a spring at a point d above its centre; the other spring end is fixed to a wall. The disc rolls…
- Question 48 – The principal stresses at a point inside a solid object are σ1 = 100 MPa, σ2 = 100 MPa and σ3 = 0 MPa. The yield strength of the material is 200 MPa.…
- Question 49 – An inverted U-tube manometer measures the pressure difference between pipes A and B as shown. Pipe A carries oil of specific gravity 0.8 and pipe B…
- Question 50 – Oil of kinematic viscosity 1.010-5 m²/s flows at 10 m/s through a 0.5 m diameter pipe. Water of viscosity 0.8910-6 m²/s flows through a 20 mm model…
- Question 51 – A steady laminar boundary layer forms over a flat plate as shown. The free-stream velocity is U 0. The inlet profile at a–b is uniform; downstream at…
- Question 52 – A steel ball of 10 mm diameter at 1000 K is required to be cooled to 350 K by immersing it in a water environment at 300 K. The convective heat…
- Question 53 – An infinitely long furnace has 0.5 m × 0.4 m cross section. All surfaces are black. Top and bottom are at T 1=T 3=927C; sides are at T 2=T 4=527C.…
- Question 54 – A fluid with Pr = 1 at 500 K flows at 10 m/s over a 1.5 m plate maintained at 300 K. Given kinematic viscosity =3010-6 m²/s, the thermal…
- Question 55 – For water at 25°C, dp s/dT s=0.189 kPa/K, where p s,T s are saturation pressure and temperature. Dry saturated vapour specific volume is 43.38 m³/kg;…
- Question 56 – An ideal gas undergoes a reversible process with pressure varying linearly with volume, from p₁ = 100 kPa, V₁ = 0.2 m³ to p₂ = 200 kPa, V₂ = 0.1 m³.…
- Question 57 – An ideal Rankine-cycle plant receives superheated steam at 3 MPa, 350°C; condenser pressure is 75 kPa. The thermal efficiency is %. Data at 75 kPa: hf…
- Question 58 – A hypothetical engineering stress-strain curve shown in the figure has three straight lines PQ, QR, RS with coordinates P(0,0), Q(0.2,100), R(0.6,140)…
- Question 59 – Heat is removed from 2 kg of molten metal at a constant 10 kW until complete solidification. The cooling curve is shown. Assuming uniform temperature…
- Question 60 – The HSS tool-life equation is VT0.14f0.7d0.4=constant. A 30 min tool life is obtained at V = 45 m/min, f = 0.35 mm and d = 2.0 mm. If speed, feed and…
- Question 61 – A cylindrical job with diameter of 200 mm and height of 100 mm is to be cast using modulus method of riser design. Assume that the bottom surface of…
- Question 62 – A 300 mm thick slab is being cold rolled using roll of 600 mm diameter. If the coefficient of friction is 0.08, the maximum possible reduction (in mm)…
- Question 63 – The figure below represents a triangle PQR with initial coordinates of the vertices as P(1,3), Q(4,5) and R(5,3.5). The triangle is rotated in the X-Y…
- Question 64 – The annual demand for an item is 10,000 units. The unit cost is Rs. 100 and inventory carrying charges are 14.4% of the unit cost per annum. The cost…
- Question 65 – Maximize Z=15X1 + 20X2 subject to 12X1 + 4X2 ≥ 36 12X1 − 6X2 ≤ 24 X1, X2 ≥ 0 The above linear programming problem has