GATE 2018 CE (CE2) – Previous Year Questions with Solutions
All 65 questions of GATE 2018 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 – “His face with joy when the solution of the puzzle was to him.” Choose the words that best fill the blanks.
- Question 2 – “Although it does contain some pioneering ideas, one would hardly characterize the work as .” Choose the best word.
- Question 3 – For natural numbers a, b, n and m, the sum of n copies of a is a2b, and the sum of m copies of b is ab2. Find the product of the sum of n copies of m…
- Question 4 – How many distinct three-member committees can be formed from nine people?
- Question 5 – For nonnegative integers a, b, c satisfying a+ b+ c=0, find a+b+c.
- Question 6 – Manufacturing loss is proportional to the square of deviation from a target. Loss is ₹4900 for deviation 7 units. What is the loss for deviation 4…
- Question 7 – A faulty clock gains 15 minutes every 24 hours. It is synchronized at 9 AM on 11 July. To the nearest minute, what is the correct time when it shows 2…
- Question 8 – Annual average rainfall in a tropical city is 1000 mm. The graph shows cumulative rainfall on one rainy day (24 hours). Half the rain falling on an…
- Question 9 – Given Py-z= Qz-x= Rx-y=10 for distinct x, y, z, find PQR.
- Question 10 – Each letter in the diagram represents a unique integer from 1 to 9. Each of A+B+C, C+D+E, E+F+G and G+H+K equals 13. Which integer is E?
- Question 11 – The solution of x\,dy/dx+y=0 through (1,1) is .
- Question 12 – The graph shows f(x). For it to be a valid probability density function, h must be .
- Question 13 – A right-skewed probability distribution is shown. Which statement is correct?
- Question 14 – All members of the planar truss shown have the same cross-sectional area A and elastic modulus E. For the loads shown, which statement correctly…
- Question 15 – Cement setting time is determined using .
- Question 16 – A compression member has translation and rotation restrained at one end, and only translation restrained at the other. According to IS 456:2000 as…
- Question 17 – A 10 kN vertical load acts on an internal hinge L/4 from roller support Q of a beam of length L, as shown. The vertical reaction at Q is .
- Question 18 – A flow net below a dam has 24 equipotential drops and 7 flow channels. Upstream-to-downstream head difference is 6 m. The flow-line length adjacent to…
- Question 19 – The contact-pressure and settlement distributions shown correspond to .
- Question 20 – Which statement is NOT correct?
- Question 21 – Which clay mineral has structural units held together by potassium bonds?
- Question 22 – Dupuit assumptions are valid for .
- Question 23 – For fixed open-channel discharge, the two depths with equal specific energy are called .
- Question 24 – According to IS 10500:2012 referred to in the paper, when no alternative drinking-water source exists, permissible chloride and sulphate limits in…
- Question 25 – Group I shows atmospheric temperature profiles P, Q, R, S; Group II shows smoke-stack plume patterns 1–4. In Group I, dashed lines show the dry…
- Question 26 – Peak Hour Factor represents the proportion of peak subhourly flow within the peak hour. For 15-minute subhours, its theoretically possible range is .
- Question 27 – According to IRC:37-2012 referred to in the paper, which parameter controls subgrade rutting in flexible pavements?
- Question 28 – Initial concavity in a CBR load–penetration curve is NOT due to .
- Question 29 – A box contains 5 red balls and 1 white ball. The probability of consecutively drawing 3 red balls without replacement, to one decimal place, is .
- Question 30 – Solve 2x2-3x+3=0 numerically starting at x 0=2. The first Newton–Raphson estimate is .
- Question 31 – According to IS 456:2000 referred to in the paper, minimum tension reinforcement in a rectangular RC beam using Fe500 steel, as a percentage of width…
- Question 32 – An RC slab of effective depth 80 mm is simply supported at two opposite ends on 230 mm thick masonry walls, 3.3 m centre to centre. According to IS…
- Question 33 – A fillet weld simultaneously carries factored normal stress 120 MPa and shear stress 50 MPa. According to IS 800:2007 referred to in the paper,…
- Question 34 – Kharif irrigation intensity is 50% for a culturable command area of 50000 ha, with duty 1000 ha/cumec. For transmission loss 10%, required canal-head…
- Question 35 – A culvert has design flood return period 100 years and useful life 20 years. Its design risk, to two decimals, is %.
- Question 36 – The matrix bmatrix2&-4\\4&-2bmatrix has .
- Question 37 – For f(t)=eat, t0, constant a and s-a>0, its Laplace transform F(s) is .
- Question 38 – Find the rank of bmatrix1&1&0&-2\\2&0&2&2\\4&1&3&1bmatrix.
- Question 39 – Two rigid bodies of mass 5 kg and 4 kg are initially at rest on a frictionless surface. A 36 N force acts as shown. The contact force is .
- Question 40 – Four equal-diameter bolts P, Q, R and S hold a bracket carrying 130 kN as shown. The force in bolt P is .
- Question 41 – A singly reinforced rectangular concrete beam is 300 mm wide with effective depth 400 mm, M25 concrete and Fe500 steel. For an under-reinforced beam,…
- Question 42 – A 3 m vertical retaining wall holds dry granular backfill with friction angle 30° and unit weight 20 kN/m³. The wall is prevented from moving. Total…
- Question 43 – Three soil specimens, each 150 mm long and 100 mm diameter, are arranged in series in the constant-head apparatus shown. Screens keep them intact.…
- Question 44 – In a 5 m wide rectangular channel, vertical velocity distribution is u=1.25y1/6, with y measured from the bed. At depth 2 m, discharge per unit width…
- Question 45 – A car follows a truck at 10 m/s on a two-lane, two-way road, 16 m behind it. With a clear opposing gap, the car accelerates at an average 4 m/s²,…
- Question 46 – A level instrument is 1.320 m above a station of reduced level 112.565 m. It reads −2.835 m on a staff held at the bottom of a bridge deck. The…
- Question 47 – For F( r)=x2 i+y2 j, evaluate C F d r along the straight segment from (0,0) to (1,1), to two decimals.
- Question 48 – An 8 m simply supported elastic beam has rectangular cross section 100 mm × 200 mm and a 10 kN/m UDL over its entire span. The maximum principal…
- Question 49 – Beam P–Q–R has EI=104 kN m² and an applied 180 kN m moment at Q, as shown. Rotation at Q, to two decimals, is rad.
- Question 50 – A prismatic propped cantilever of span L and plastic moment capacity M p carries a concentrated load at midspan. If collapse load is M p/L, then α is…
- Question 51 – A 6 m simply supported beam is prestressed with the straight cable shown. It carries a 6 kN/m UDL. Effective EI=2104 kN m² and prestressing force is…
- Question 52 – A 25 m cable PQ is supported at equal levels 20 m horizontally apart. A 150 kN point load acts at R, dividing the cable into equal lengths, as shown.…
- Question 53 – A clay compression curve is straight on a void-ratio versus logarithmic effective-stress plot and passes through (e=1.2, v=50\ kPa) and (e=0.6, v=800\…
- Question 54 – At X in saturated sand, total horizontal and vertical stresses are 170 and 300 kPa, with zero shear on those planes. Static pore pressure is 30 kPa…
- Question 55 – Nine piles form a 3×3 square group in dense sand beneath recently filled clay, as shown. Each pile perimeter is 126 cm, and group dimensions are 240…
- Question 56 – The three immiscible fluids shown are connected to a vacuum pump. Fluid specific gravities are S1 = 0.88 and S2 = 0.95; fluid III is water. Water unit…
- Question 57 – A 1000 km² catchment receives 19 cm of rain in a 6 h storm. Its triangular direct-runoff hydrograph gives runoff volume 108 m³. The φ-index, to one…
- Question 58 – A rough pipe has diameter 0.5 m, length 300 m and roughness height k = 0.25 mm. Water velocity is 3 m/s and kinematic viscosity 0.910-6 m²/s. For…
- Question 59 – A 1800 m³ flocculation tank is paddle-mixed at mean velocity gradient G = 100 s⁻¹. Water is at 30°C with dynamic viscosity 0.79810-3 N s/m².…
- Question 60 – A brick kiln completely burns coal containing 2% sulfur at 30 kg/min. Ash retains 6% of the sulfur initially fed. Atomic weights S, H, O are 32, 1, 16…
- Question 61 – A water-treatment plant has 4 filters with filtration and backwashing rates 200 and 1000 m³/day/m². Backwashing takes 15 min/day, and maturation after…
- Question 62 – The diagram shows a completely mixed biological reactor with solids recycle. Influent Q = 15000 m³/day, S₀ = 100 mg/L and X₀ ≈ 0. Tank S = 15 mg/L, X…
- Question 63 – Space-mean speed and density are linearly related. Free-flow speed is 80 km/h and jam density 100 vehicles/km. At 40 km/h, traffic flow, to one…
- Question 64 – A 7.5 m wide two-lane road on plain terrain follows a 510 m radius curve at design speed 100 km/h. Superelevation follows IRC:73-1980 as referred to…
- Question 65 – An aerial photograph of terrain with average elevation 1400 m has scale 1:7500. Camera focal length is 15 cm. Flight altitude above mean sea level, to…