GATE 2019 CE (CE2) – Previous Year Questions with Solutions
All 65 questions of GATE 2019 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 – “Daytime temperatures in Delhi can 40°C.” Choose the best word.
- Question 2 – “The growth rate of ABC Motors in 2017 was the same XYZ Motors in 2016.” Choose the correct phrase.
- Question 3 – Suresh wants to carpet a 70 m × 55 m area in his mansion, leaving 550 m² for flower pots. At Rs 50/m², how much will the carpet cost?
- Question 4 – A retaining wall 30 m × 12 m × 6 m is constructed with bricks 8 cm × 6 cm × 6 cm. Bricks occupy 60% of the wall volume. Find the number of bricks in…
- Question 5 – “Hima Das was only Indian athlete to win gold for India.” Choose the articles.
- Question 6 – Mohan wants his four workers to work in pairs. No pair should work together for more than 5 hours. Ram and John have already worked together for 5…
- Question 7 – From 2001 to 2011 the populations of states X and Y increased by x% and y%, with x > y. P is the ratio of X’s population to Y’s in a given year. Find…
- Question 8 – The Newspaper reports that over 500 hectares of tribal land spread across 28 tribal settlements in Mohimampuram forest division have already been…
- Question 9 – Pipe X fills an oil tank in 5 hours and pipe Y in 4 hours, each alone. With the tank full and drainage open, it empties in 20 hours. Starting empty,…
- Question 10 – “Popular Hindi fiction, despite – or perhaps because of – its wide reach, often does not appear in our cinema. As ideals that viewers are meant to…
- Question 11 – Find the Euclidean norm of bmatrix4\\-2\\-6bmatrix.
- Question 12 – Find the Laplace transform of (at).
- Question 13 – For x close to zero, 2-x2/3<x x1- x<2. Find x0x x1- x.
- Question 14 – Find the curl of 2x2y i+5z2 j-4yz k.
- Question 15 – A closed thin-walled tube has thickness t, mean enclosed area A m within its wall centreline, and shear stress τ. Find torsional resistance T.
- Question 16 – A steel column is restrained against translation and rotation at one end; the other end is restrained against rotation but free to translate. Find…
- Question 17 – Fine aggregate has fineness modulus 4.3. In which interval does its mean particle size lie?
- Question 18 – A channel section carries downward vertical shear at its centroid. Which graphical option gives the correct shear-stress distributions in flange and…
- Question 19 – Which pair contains ONLY primary air pollutants?
- Question 20 – A water sample contains CO 32-, Na+, H+, PO 43-, Al3+, H 2CO 3, Cl-, Ca2+, Mg2+, HCO 3-, Fe2+ and OH-. Which concentrations are required to compute…
- Question 21 – Structural failures considered in mechanistic bituminous-pavement design are .
- Question 22 – A solid sphere of radius r and material density s moves through an atmosphere of constant pressure p with velocity v. Find the net force due ONLY to…
- Question 23 – The steady velocity field is v=2 i+(x+y) j+xyz k. Find fluid acceleration at (1,1,2).
- Question 24 – Reservoir routing converts an inflow hydrograph with peak P I at time t I to outflow with peak P O at time t O. Which relationship is correct?
- Question 25 – An earthen dam of height H consists of cohesive soil of cohesion c and unit weight γ. With factor of safety against cohesion F c, find Taylor’s…
- Question 26 – In the Indian Standard Soil Classification System, SC denotes .
- Question 27 – An anisotropic soil has vertical permeability k z and horizontal permeability k x. To construct an isotropic flow net, by what factor is the…
- Question 28 – A function is known at n distinct abscissae and is interpolated at x* using all n points. Lagrange and Newton interpolation estimates are I L and I N.…
- Question 29 – A highway’s speed–density relationship follows Greenshields’ model, with free speed v f and jam density k j. Find maximum flow.
- Question 30 – Find the degree of static indeterminacy of the plane frame shown.
- Question 31 – Required characteristic concrete compressive strength is 25 MPa; observed standard deviation is 4 MPa. Trial mixes with w/c percentages 45, 50, 55 and…
- Question 32 – A clockwise closed traverse PQRS has included angles PQ: 88°, QR: 92°, RS: 94°, SP: 89°. Find its angular closing error (degrees).
- Question 33 – A vehicle travels uphill on +4% grade at 20 m/s. Rolling-friction coefficient is 0.46 and g = 10 m/s². Find horizontal braking distance to reduce…
- Question 34 – A canal command area grows only wheat, with base period 120 days and total water requirement 40 cm. At canal discharge 2 m³/s, find irrigable area…
- Question 35 – Construction of a building on clay finished in January 2010. In January 2014 its average consolidation settlement was 10 mm. Design ultimate…
- Question 36 – A continuous random variable is uniformly distributed between x and y, with y > x. Find its probability density inside this interval.
- Question 37 – The hemispherical tank shown has radius 13 m. Find water volume (m³) when central water depth is 6 m.
- Question 38 – Solve (x x)dydx=y, with K a constant.
- Question 39 – The plane-stress element shown has horizontal tensile stress 80 MPa, vertical compressive stress 20 MPa and clockwise shear 25 MPa. Through what…
- Question 40 – A structural steel section has critical extreme-fibre bending compressive stress 1000 MPa, yield strength 250 MPa, flange width 250 mm and flange…
- Question 41 – Assess durability assertions: (1) IS 456:2000 requires 3% to 6% air entrainment for concrete exposed to marine environment. (2) For cement containing…
- Question 42 – Chlorination of municipal water kills 50% of E. coli in 3 minutes. Find the minimum time for 99% disinfection efficiency.
- Question 43 – A 20 cm focal-length camera in an aircraft takes vertical terrain photographs. Average ground elevation is 1200 m MSL. Find required aircraft…
- Question 44 – In one hour, a flexible pavement carries 80 two-axle buses with each axle load 40 kN and 160 two-axle trucks with front and rear axle loads 40 and 80…
- Question 45 – Find the inverse of bmatrix2&3&4\\4&3&1\\1&2&4bmatrix.
- Question 46 – A long 10 kN/m uniformly distributed load and a 60 kN concentrated load move together on beam ABCD shown; their relative positions are not fixed. Find…
- Question 47 – The frame shown has an internal hinge G and linear elastic springs at H, with k x=k y=5105\ kN/m and k =3105\ kN\,m/rad. A 30 kN·m moment acts at F.…
- Question 48 – A rolled I-section rests on a 75 mm wide end bearing plate as shown. Flange thickness is 20 mm, web thickness 8 mm, root radius 10 mm, yield stress…
- Question 49 – An M25 concrete specimen at stress 12.5 MPa initially strains 50010-6. After a long time its strain increases to 100010-6. Under IS 456:2000,…
- Question 50 – A treatment plant handles 6000 m³/day. Discrete particles settle in a clarifier; a column test shows surface overflow 1.5 m/h gives desired removal.…
- Question 51 – Raw municipal solid waste contains 70% decomposable material convertible to methane. Its water content is 35%. Dry decomposable matter has mass…
- Question 52 – The shown reactor handles flow Q m³/h, with influent and effluent concentrations C0 and C mg/L. First-order degradation occurs. Mixing can make it…
- Question 53 – Perpendicular offsets from a curved boundary to a straight survey line at 6 m spacing are 1.22, 1.67, 2.04, 2.34, 2.14, 1.87 and 1.15 m. Use Simpson’s…
- Question 54 – Uniform arrival and service rates at a signalized approach are 20 and 50 vehicles/min respectively. Red time is 30 s, effective green 30 s and cycle…
- Question 55 – A broad-gauge railway passes through a horizontal curve of radius 875 m and length 200 m. Allowable speed is 100 km/h. For cant calculations use gauge…
- Question 56 – A highway speed–density relationship is u = 100 − 0.5k, where u is km/h and k vehicles/km. Find maximum hourly flow, to the nearest integer.
- Question 57 – The confined aquifer shown has constant thickness 15 m between aquicludes. Piezometer heads at P and Q are 55.2 and 34.1 m. Hydraulic conductivity is…
- Question 58 – At a spillway foot water depth is 23 cm and speed 8.1 m/s. Flow enters a long wide rectangular channel as an M3 profile, with bed slope 1/1800 and…
- Question 59 – Two pipes of equal length, diameter and roughness withdraw water from a reservoir, discharging freely to atmosphere. They are connected in series in…
- Question 60 – A 2-hour unit hydrograph for 1 cm effective rainfall has ordinates u (m³/s) at t = 0, 1, …, 12 hours: 0, 2, 8, 18, 32, 45, 30, 19, 12, 7, 3, 1, 0. A…
- Question 61 – A soil sampler has cutting-edge inside and outside diameters 80 and 100 mm, and sampling-tube inside and outside diameters 86 and 90 mm. Find outside…
- Question 62 – A 2 m × 4 m rectangular footing carries uniform pressure 120 kPa. Use 2:1 stress dispersion to find vertical stress increment 2 m below its base…
- Question 63 – Constant-head tests on specimens S1 and S2 give equal discharge. Height ratio L1/L2 = 1.5, diameter ratio D1/D2 = 0.5 and applied head ratio h1/h2 =…
- Question 64 – An 8 m long, 0.2 m diameter timber pile is driven with a 20 kN drop hammer falling 1.5 m. Total penetration in the last five blows is 40 mm. Use the…
- Question 65 – A square footing of side 2 m rests at the surface of homogeneous soil with c = 24 kPa, φ = 25° and γ = 18 kN/m³. Terzaghi factors are N c=25.1, N…