GATE 2016 ME (ME3) – Previous Year Questions with Solutions
All 65 questions of GATE 2016 ME (ME3) with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Based on the given statements, select the appropriate option with respect to grammar and usage. Statements (i) The height of Mr. X is 6 feet. (ii) The…
- Question 2 – The students the teacher on teachers’ day for twenty years of dedicated teaching.
- Question 3 – After India’s cricket world cup victory in 1985, Shrotria who was playing both tennis and cricket till then, decided to concentrate only on cricket.…
- Question 4 – Given (9 inches)½ = (0.25 yards)½, which one of the following statements is TRUE?
- Question 5 – S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked.…
- Question 6 – The Venn diagram shows students’ leisure preferences. How many students like reading books or playing sports?
- Question 7 – Social science disciplines were in existence in an amorphous form until the colonial period when they were institutionalized. In varying degrees, they…
- Question 8 – Two and a quarter hours back, the mirror reflection of a wall clock with number markings seemed to show 1:30. What is the actual current time?
- Question 9 – M and N start at the same location. M travels 10 km east and then 10 km northeast. N travels 5 km south and then 4 km southeast. Their shortest…
- Question 10 – A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in…
- Question 11 – A real square matrix A is called skew-symmetric if
- Question 12 – The value of x0(1+4x)/(e3x-1) is .
- Question 13 – Solutions of Laplace’s equation having continuous second-order partial derivatives are called
- Question 14 – The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is
- Question 15 – For f(x)=x3+x-1, one Newton–Raphson iteration from x 0=1 gives .
- Question 16 – A force F is acting on a bent bar which is clamped at one end as shown in the figure. The CORRECT free body diagram is
- Question 17 – The cross-sections of two solid bars made of the same material are shown in the figure. The square cross-section has flexural (bending) rigidity I1,…
- Question 18 – The stress state in Figure (a) is represented in the coordinate system of Figure (b). The components ( xx, yy, xy) are .
- Question 19 – A rigid link PQ is undergoing plane motion as shown in the figure (VP and VQ are non-zero). VQP is the relative velocity of point Q with respect to…
- Question 20 – The number of degrees of freedom in a planar mechanism having n links and j simple hinge joints is
- Question 21 – The static deflection of a spring under gravity, when a mass of 1 kg is suspended from it, is 1 mm. Assume the acceleration due to gravity g =10 m/s2.…
- Question 22 – Which of the bearings given below SHOULD NOT be subjected to a thrust load?
- Question 23 – A channel of width 450 mm branches into two sub-channels having width 300 mm and 200 mm as shown in figure. If the volumetric flow rate (taking unit…
- Question 24 – An incompressible two-dimensional flow has velocity 2xy i-y2 j. Its streamlines are .
- Question 25 – Steady one-dimensional heat conduction takes place across the faces 1 and 3 of a composite slab consisting of slabs A and B in perfect contact as…
- Question 26 – Grashof number signifies the ratio of
- Question 27 – The INCORRECT statement about the characteristics of critical point of a pure substance is that
- Question 28 – For a heat exchanger, ∆Tmax is the maximum temperature difference and ∆Tmin is the minimum temperature difference between the two fluids. LMTD is the…
- Question 29 – The blade and fluid velocities for an axial turbine are as shown in the figure. The magnitude of absolute velocity at entry is 300 m/s at an angle of…
- Question 30 – Engineering strain of a mild steel sample is recorded as 0.100%. The true strain is
- Question 31 – Equal amounts of a liquid metal at the same temperature are poured into three moulds made of steel, copper and aluminum. The shape of the cavity is a…
- Question 32 – In a wire-cut EDM process the necessary conditions that have to be met for making a successful cut are that
- Question 33 – Internal gears are manufactured by
- Question 34 – Match the following part programming codes with their respective functions Part Programming Codes Functions P. G01 I. Spindle stop Q. G03 II. Spindle…
- Question 35 – In PERT chart, the activity time distribution is
- Question 36 – The number of linearly independent eigenvectors of A=bmatrix2&1&0\\0&2&0\\0&0&3bmatrix is .
- Question 37 – Evaluate C F r\,ds on a counterclockwise circle of radius 4/, where F(x,y)=y i+2x j and r is the unit tangent at arc length s from a reference point.
- Question 38 – The limit x(x2+x-1-x) is .
- Question 39 – Three cards were drawn from a pack of 52 cards. The probability that they are a king, a queen, and a jack is
- Question 40 – An inextensible massless string goes over a frictionless pulley. Two weights of 100 N and 200 N are attached to the two ends of the string. The…
- Question 41 – A circular disc of radius 100 mm and mass 1 kg, initially at rest at position A, rolls without slipping down a curved path as shown in figure. The…
- Question 42 – A rigid rod AB of length L=2 m undergoes translation and rotation in the x–y plane as shown. End A has V 1= i+2 j m/s. End B moves only in the x…
- Question 43 – A square plate of dimension L × L is subjected to a uniform pressure load p = 250 MPa on its edges as shown in the figure. Assume plane stress…
- Question 44 – Two circular shafts made of same material, one solid (S) and one hollow (H), have the same length and polar moment of inertia. Both are subjected to…
- Question 45 – A beam of length L is carrying a uniformly distributed load w per unit length. The flexural rigidity of the beam is EI. The reaction at the simple…
- Question 46 – Two masses m are attached to opposite sides of a rigid rotating shaft in the vertical plane. Another pair of equal masses m1 is attached to the…
- Question 47 – A single-degree-of-freedom spring–mass system is excited by a harmonic force of constant amplitude at frequency 3k/m. The ratio of steady-state…
- Question 48 – A bolted joint has four bolts arranged as shown in figure. The cross sectional area of each bolt is 25 mm2. A torque T = 200 N-m is acting on the…
- Question 49 – Consider a fully developed steady laminar flow of an incompressible fluid with viscosity µ through a circular pipe of radius R. Given that the…
- Question 50 – The water jet exiting from a stationary tank through a circular opening of diameter 300 mm impinges on a rigid wall as shown in the figure. Neglect…
- Question 51 – The two-dimensional velocity field is u=x/(x2+y2) i+y/(x2+y2) j. Which statements are correct? (1) The flow is incompressible. (2) The flow is…
- Question 52 – Two large parallel plates having a gap of 10 mm in between them are maintained at temperatures T1 = 1000 K and T2 = 400 K. Given emissivity values,…
- Question 53 – A cylindrical steel rod, 0.01 m in diameter and 0.2 m in length is first heated to 750 oC and then immersed in a water bath at 100 oC. The heat…
- Question 54 – Steam at an initial enthalpy of 100 kJ/kg and inlet velocity of 100 m/s, enters an insulated horizontal nozzle. It leaves the nozzle at 200 m/s. The…
- Question 55 – In a mixture of dry air and water vapor at a total pressure of 750 mm of Hg, the partial pressure of water vapor is 20 mm of Hg. The humidity ratio of…
- Question 56 – In a 3-stage air compressor, the inlet pressure is 𝑝1, discharge pressure is 𝑝4 and the intermediate pressures are 𝑝2 and 𝑝3 ( 𝑝2 < 𝑝3). The…
- Question 57 – In the vapour compression cycle shown in the figure, the evaporating and condensing temperatures are 260 K and 310 K, respectively. The compressor…
- Question 58 – Two 2 mm steel sheets are spot welded with 4 kA for 0.2 s. The cylindrical weld nugget diameter is 5 mm. Steel latent heat of fusion is 1400 kJ/kg,…
- Question 59 – For an orthogonal cutting operation, tool material is HSS, rake angle is 22°, chip thickness is 0.8 mm, speed is 48 m/min and feed is 0.4 mm/rev. The…
- Question 60 – In a sheet metal of 2 mm thickness a hole of 10 mm diameter needs to be punched. The yield strength in tension of the sheet material is 100 MPa and…
- Question 61 – In a single point turning operation with cemented carbide tool and steel work piece, it is found that the Taylor’s exponent is 0.25. If the cutting…
- Question 62 – Two optically flat plates of glass are kept at a small angle θ as shown in the figure. Monochromatic light is incident vertically. If the wavelength…
- Question 63 – A point P (1, 3, −5) is translated by 2𝑖 + 3𝑗 −4𝑘 and then rotated counter clockwise by 90° about the z-axis. The new position of the point is
- Question 64 – The demand for a two-wheeler was 900 units and 1030 units in April 2015 and May 2015, respectively. The forecast for the month of April 2015 was 850…
- Question 65 – A firm produces parts I and II using turning, milling and grinding. Required times (minutes per unit of I, II) and weekly capacity are: turning (12,…