GATE 2020 CE (CE2) – Previous Year Questions with Solutions
All 65 questions of GATE 2020 CE (CE2) with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Rescue teams deployed disaster-hit areas combat a lot of difficulties to save the people.
- Question 2 – Choose the replacement for “belittle” without changing meaning: “Now-a-days, most children have a tendency to belittle the legitimate concerns of…
- Question 3 – Complete the analogy: Partial : Impartial :: Popular : .
- Question 4 – After inauguration of a new building, the HoD collected office preferences. P wanted a room adjacent to the lab, Q close to the lift, R a playground…
- Question 5 – For f(x)=x2, x(-,), find f(f(f(x)))/f(x).
- Question 6 – Nominal interest is the amount a borrower pays a lender on borrowed money over a period. Inflation-adjusted real interest is approximately nominal…
- Question 7 – Which previous year’s calendar can be used for 2019?
- Question 8 – Find the ratio of the sum of odd positive integers from 1 to 100 to the sum of even positive integers from 150 to 200.
- Question 9 – Of 1000 school students, 300 play chess and 600 football; 50 play both. How many play neither?
- Question 10 – The pie chart and table show monthly sales of 9 W LED bulbs by X and Y from January to June 2018. If their combined April–June 2018 sales total 50000,…
- Question 11 – Classify d2u/dx2-2x2u+ x=0.
- Question 12 – Evaluate x9x2+2020/(x+7).
- Question 13 – Estimate 01(5x3+4x2+3x+2)\,dx by rectangular, trapezoidal and Simpson’s rules with a common step size. Which is TRUE?
- Question 14 – For u/ y=2u/ x2, y0, x 1 x x 2, which auxiliary conditions are necessary for a unique solution?
- Question 15 – The ratio of plastic moment capacity to yield moment capacity is called .
- Question 16 – Which stress state is represented by the shown Mohr circle?
- Question 17 – The weightless cantilever of span L carries tip force P and opposing tip couple PL as shown. Material is uniform and cross-section rectangular of…
- Question 18 – As per IS 456:2000, pH of concrete mixing water shall NOT be less than .
- Question 19 – After a signal turns green, the constant discharge headway reached from the fourth or fifth vehicle position is called .
- Question 20 – Soil transported and deposited by wind is termed .
- Question 21 – 500 g dry sand poured into a partially water-filled 2 litre cylinder displaces 188 cm³ water. Water density is 1 g/cm³. Find sand specific gravity.
- Question 22 – Muskingum method is used in .
- Question 23 – A superpassage is a cross-drainage structure in which .
- Question 24 – A triangular direct-runoff hydrograph has time base 90 hours and peak 60 m³/s at 20 hours after storm start. Catchment area is 300 km². Find rainfall…
- Question 25 – An incompressible flow has u=-5+6x, v=-(9+6y). Find the streamline equation.
- Question 26 – The graph relates oxygen consumed (BOD exerted) and biodegradable organic demand remaining in a closed container. Rate obeys dL t/dt=-kL t, where L t…
- Question 27 – A gas contains suspended particles of average sizes 2 μm and 50 μm. Choose the most suitable removal strategy.
- Question 28 – A fair coin is tossed 15 times. Find probability of exactly 8 heads, to three decimals.
- Question 29 – A 150 mm diameter, 300 mm long concrete cylinder fails at 157 kN in the IS 5816:1999 split tensile test. Find split tensile strength (MPa), to one…
- Question 30 – Find vehicle damage factor for a 15 tonne axle relative to a standard 8 tonne axle, to two decimals.
- Question 31 – A 24-hour count is 1000 vehicles on a Tuesday in July. Tuesday daily adjustment is 1.121 and July monthly adjustment 0.913. Find AADT (vehicles/day),…
- Question 32 – Soil dry unit weight is 15.5 kN/m³, specific gravity 2.65 and degree of saturation 72%. With water unit weight 10 kN/m³, find water content (%), to…
- Question 33 – A standard 19 mm clay specimen undergoes one-dimensional consolidation. Just before unloading without swelling, the gauge reads 2.1 mm and void ratio…
- Question 34 – Boundary-layer velocity is u/U =[ y/(2)], with U =0.3 m/s and δ = 1.0 m. Find wall velocity gradient u/ y at y = 0 (s⁻¹), to two decimals.
- Question 35 – Two identically sized primary tanks settle Type-I discrete particles in dilute suspension under laminar flow. Their surface overflow rates are 30 and…
- Question 36 – Solve 6y+y-y=0 in constants C 1,C 2.
- Question 37 – Find eigenvalues of P=bmatrix0&1&3&0\\-2&3&0&4\\0&0&6&1\\0&0&1&6bmatrix.
- Question 38 – A prismatic linear elastic bar of length L, area A and Young’s modulus E stores energies U 1,U 2 under axial tensile loads P 1,P 2 respectively. If U…
- Question 39 – Structure RST shown has pin R, roller S and rigid joint S. Members RS and ST have uniform EI. Consider bending only; neglect self-weight and axial…
- Question 40 – The shown frame has pin joints I, J, K, L, Q and M. Continuous members IQ and LJ connect through pin N; continuous JM and KQ connect through pin P.…
- Question 41 – The shown highway flow–density relation is triangular. Which is its corresponding speed–density relation?
- Question 42 – Match Group I tests P soundness, Q crushing, R Los Angeles abrasion, S stripping value to Group II properties 1 strength, 2 weathering resistance, 3…
- Question 43 – At a proposed airport in the hottest month, monthly mean of average daily temperature is 39°C and monthly mean of maximum daily temperature is 48°C.…
- Question 44 – Permeability measurements for the two layers are shown. Find equivalent horizontal/vertical permeability ratio.
- Question 45 – A 10 m high dry-clay slope has unit weight 20 kN/m³ and inclination 45°. The circular slip surface and wedge weight W are shown; undrained cohesion is…
- Question 46 – Crops grow in soil of field capacity 30% and permanent wilting point 13%. Effective root zone is 80 cm. Irrigation occurs when average soil moisture…
- Question 47 – Alkalinity (eq/L) is \HCO 3-\+2\CO 32-\+\OH-\-\H+\, with braces denoting mol/L. A sample has bicarbonate 210-3 mol/L, carbonate 3.0410-4 mol/L and pH…
- Question 48 – A theodolite at P sees a vane 2 m above the foot of a staff at Q at depression 45°. Horizontal PQ is 20 m. Staff reading at benchmark S of RL 433.050…
- Question 49 – For x-x2 on - x, Fourier expansion is x-x2=a 02+ n=1a n nx+ n=1b n nx. Find a 0 to two decimals.
- Question 50 – A right circular cylinder has diameter 3 cm and height 4 cm. Each measurement has absolute error 0.2 cm. Find absolute error in computed volume (cm³),…
- Question 51 – The shown concrete beam has span 15 m, width 150 mm and depth 350 mm. Its parabolic prestressing cable has friction coefficient 0.35 and wave-effect…
- Question 52 – The shown plane truss has hinge supports P and W and horizontal loads as shown. Taking tension positive and compression negative, find member XW force…
- Question 53 – The shown reinforced T-beam has effective depth 500 mm, M35 concrete, Fe550 steel and tension reinforcement 400 mm². Material safety factor for 0.2%…
- Question 54 – Two steel plates are lap-jointed in a workshop with 6 mm fillet weld as shown. Weld ultimate strength is 410 MPa. As per IS 800:2007 limit-state…
- Question 55 – A two-lane two-way road has design speed 60 km/h, longitudinal friction coefficient 0.36 and driver reaction time 2.5 s. With g = 9.8 m/s², find…
- Question 56 – A 2 m × 2 m footing transfers pressure 200 kPa at depth 1.5 m as shown. Clay is normally consolidated, with specific gravity 2.65 and compression…
- Question 57 – A constant-head permeability test has gradient 2.5. Soil specific gravity is 2.65 and saturated water content 20%. Permeability is 0.1 cm/s. Find…
- Question 58 – A 5 m vertical wall supports saturated clay of unit weight 18 kN/m³, cohesion 20 kPa and friction angle zero. To prevent a tension zone, the wall is…
- Question 59 – A 600 mm diameter, 400 m long cast-iron pipe carries tank water to a free-air discharge 4.5 m below the tank surface. Darcy friction factor is 0.018…
- Question 60 – A hydraulic jump in a triangular V-channel of side slopes 1:1 vertical to horizontal has sequent depths 0.5 and 1.5 m. Find discharge (m³/s), to two…
- Question 61 – The shown concrete dam holds 10 m static water. Uplift decreases linearly from full hydrostatic head at heel to zero at toe. Dam–soil friction…
- Question 62 – Water has pK w=14. Rainwater pH is 5.6. Find OH⁻ concentration in units of 10-9 mol/L, to one decimal.
- Question 63 – A waste-to-energy plant burns 1000 tonnes/day dry waste: C 35%, O 26%, H 10%, S 6%, N 3%, inert 20%. Air is 23% oxygen by mass. Assume complete…
- Question 64 – Water contains C 8H 16O 8 at 10-3 mol/L. Atomic weights C = 12, H = 1, O = 16. Find theoretical oxygen demand (g O₂/L), to two decimals.
- Question 65 – A theodolite at A has instrument-axis RL 212.250 m. Elevation angle to the top of a vertical 4 m staff at B is 7°. Horizontal AB is 400 m. Neglect…