GATE 2016 ME (ME2) – Previous Year Questions with Solutions
All 65 questions of GATE 2016 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 volume of a sphere of diameter 1 unit is than the volume of a cube of side 1 unit.
- Question 2 – The unruly crowd demanded that the accused be without trial.
- Question 3 – Choose the statement(s) where the underlined word is used correctly: (i) A prone is a dried plum. (ii) He was lying prone on the floor. (iii) People…
- Question 4 – Fact: If it rains, then the field is wet. Read the following statements: (i) It rains (ii) The field is not wet (iii) The field is wet (iv) It did not…
- Question 5 – A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side…
- Question 6 – Students taking an exam are divided into two groups, P and Q such that each group has the same number of students. The performance of each of the…
- Question 7 – A smart city integrates all modes of transport, uses clean energy and promotes sustainable use of resources. It also uses technology to ensure safety…
- Question 8 – Find the missing sequence in the letter series. B, FH, LNP, .
- Question 9 – The binary operation □ is defined as a □ b = ab+(a+b), where a and b are any two real numbers. The value of the identity element of this operation,…
- Question 10 – Which curve represents y=( e[ ( x ) ] ) for x <2? Here x is the abscissa and y the ordinate.
- Question 11 – The eigenvalues of A=bmatrix2&1\\1&kbmatrix are positive when .
- Question 12 – f(x)=(x2-3x-4)/(x2+3x-4) is not continuous at .
- Question 13 – The Laplace transform of ( t) is .
- Question 14 – For f(z)=u(x,y)+iv(x,y) with z=x+iy, u=2kxy and v=x2-y2, the value of k for analyticity is .
- Question 15 – Numerical integration using trapezoidal rule gives the best result for a single variable function, which is
- Question 16 – A point mass having mass M is moving with a velocity V at an angle θ to the wall as shown in the figure. The mass undergoes a perfectly elastic…
- Question 17 – A shaft with a circular cross-section is subjected to pure twisting moment. The ratio of the maximum shear stress to the largest principal stress is
- Question 18 – A thin cylindrical pressure vessel with closed-ends is subjected to internal pressure. The ratio of circumferential (hoop) stress to the longitudinal…
- Question 19 – The forces F1 and F2 in a brake band and the direction of rotation of the drum are as shown in the figure. The coefficient of friction is 0.25. The…
- Question 20 – A single degree of freedom mass-spring-viscous damper system with mass m, spring constant k and viscous damping coefficient q is critically damped.…
- Question 21 – A machine element XY, fixed at end X, is subjected to an axial load P, transverse load F, and a twisting moment T at its free end Y. The most critical…
- Question 22 – For the brake shown in the figure, which one of the following is TRUE?
- Question 23 – The volumetric flow rate per unit depth between streamlines of stream functions 1, 2 is .
- Question 24 – Assuming constant temperature condition and air to be an ideal gas, the variation in atmospheric pressure with height calculated from fluid statics is
- Question 25 – A hollow cylinder has length L, inner radius r1, outer radius r2, and thermal conductivity k. The thermal resistance of the cylinder for radial…
- Question 26 – Consider the radiation heat exchange inside an annulus between two very long concentric cylinders. The radius of the outer cylinder is 𝑅o and that of…
- Question 27 – The internal energy of an ideal gas is a function of
- Question 28 – The heat removal rate from a refrigerated space and the power input to the compressor are 7.2 kW and 1.8 kW, respectively. The coefficient of…
- Question 29 – Consider a simple gas turbine (Brayton) cycle and a gas turbine cycle with perfect regeneration. In both the cycles, the pressure ratio is 6 and the…
- Question 30 – In a single-channel queuing model, the customer arrival rate is 12 per hour and the serving rate is 24 per hour. The expected time that a customer is…
- Question 31 – In the phase diagram shown in the figure, four samples of the same composition are heated to temperatures marked by a, b, c and d. At which…
- Question 32 – The welding process which uses a blanket of fusible granular flux is
- Question 33 – The value of true strain produced in compressing a cylinder to half its original length is
- Question 34 – The following data is applicable for a turning operation. The length of job is 900 mm, diameter of job is 200 mm, feed rate is 0.25 mm/rev and optimum…
- Question 35 – In an ultrasonic machining (USM) process, the material removal rate (MRR) is plotted as a function of the feed force of the USM tool. With increasing…
- Question 36 – For =yz i+xz j+xy k, evaluate C d r, where r=x i+y j+z k and C has x=t,y=t2,z=3t2, 1 t3.
- Question 37 – The integral (3z-5)/[(z-1)(z-2)]\,dz=4 i, where z=x+iy and i=-1. Which closed path Γ is correct?
- Question 38 – The probability that a screw manufactured by a company is defective is 0.1. The company sells screws in packets containing 5 screws and gives a…
- Question 39 – The error in numerically computing 0( x+ x)\,dx by the trapezoidal rule with three equal intervals is .
- Question 40 – A mass of 2000 kg is currently being lowered at a velocity of 2 m/s from the drum as shown in the figure. The mass moment of inertia of the drum is…
- Question 41 – A moving particle system has mass centre G. Particle i has mass m i, position r i from fixed O and position i from G, as shown. Dots denote time…
- Question 42 – A rigid horizontal rod of length 2L is fixed to a circular cylinder of radius R as shown in the figure. Vertical forces of magnitude P are applied at…
- Question 43 – A simply supported beam of length 2L carries midpoint moment M at x = 0, as shown. For 0 x L, w=-Mx(L-x)(x+c)/(12EIL), where E is Young’s modulus, I…
- Question 44 – In the figure, the load P = 1 N, length L = 1 m, Young’s modulus E = 70 GPa, and the cross-section of the links is a square with dimension 10 mm × 10…
- Question 45 – A circular metallic rod of length 250 mm is placed between two rigid immovable walls as shown in the figure. The rod is in perfect contact with the…
- Question 46 – The rod AB, of length 1 m, shown in the figure is connected to two sliders at each end through pins. The sliders can slide along QP and QR. If the…
- Question 47 – The system shown in the figure consists of block A of mass 5 kg connected to a spring through a massless rope passing over pulley B of radius r and…
- Question 48 – In a structural member under fatigue loading, the minimum and maximum stresses developed at the critical point are 50 MPa and 150 MPa, respectively.…
- Question 49 – The large vessel shown in the figure contains oil and water. A body is submerged at the interface of oil and water such that 45 percent of its volume…
- Question 50 – Consider fluid flow between two infinite horizontal plates which are parallel (the gap between them being 50 mm). The top plate is sliding parallel to…
- Question 51 – Consider a frictionless, massless and leak-proof plug blocking a rectangular hole of dimensions 2𝑅× 𝐿 at the bottom of an open tank as shown in the…
- Question 52 – Consider a parallel-flow heat exchanger with area 𝐴p and a counter-flow heat exchanger with area 𝐴c. In both the heat exchangers, the hot stream…
- Question 53 – Two cylindrical shafts A and B, initially at the same temperature, are put into a furnace simultaneously. Their surfaces immediately remain at the…
- Question 54 – A piston-cylinder device initially contains 0.4 m3 of air (to be treated as an ideal gas) at 100 kPa and 80 oC. The air is now isothermally compressed…
- Question 55 – A reversible cycle receives 40 kJ of heat from one heat source at a temperature of 127 °C and 37 kJ from another heat source at 97 °C. The heat…
- Question 56 – An ideal vapour-compression refrigerator uses R-134a between 0.14 MPa and 0.8 MPa with refrigerant mass flow 0.05 kg/s. The rate of heat rejection to…
- Question 57 – A moist-air sample has relative humidity 70%, water-vapour partial pressure 1.6 kPa and total pressure 101.325 kPa. Treat it as an ideal mixture of…
- Question 58 – In a binary A–B system, liquid containing 20% A coexists with solid containing 70% A. At overall composition 40% A, the solid fraction is .
- Question 59 – Gray cast iron blocks of size 100 mm × 50 mm × 10 mm with a central spherical cavity of diameter 4 mm are sand cast. The pattern shrinkage allowance…
- Question 60 – In DC arc welding, V=100+40l, with arc length l in mm and voltage V in volts. During welding, l varies from 1 to 2 mm and current ranges from 200 to…
- Question 61 – For a metal-cutting job, cutting cost is ₹18C/V and tooling cost is ₹270C/(TV), where C is constant, V is cutting speed in m/min and T is tool life in…
- Question 62 – Electrode surface irregularities in ECM are 3 μm and 6 μm as shown. Pure iron is machined at 12 V DC. Electrolyte conductivity is 0.02 Ω⁻¹mm⁻¹;…
- Question 63 – For the situation shown in the figure below the expression for H in terms of r, R and D is
- Question 64 – A company uses 25000 kg of corn flour yearly. Quantity-discount prices are ₹70/kg for 1–749 kg, ₹65/kg for 750–1499 kg and ₹60/kg for 1500 kg or more.…
- Question 65 – A project consists of 14 activities, A to N. The duration of these activities (in days) are shown in brackets on the network diagram. The latest…