GATE 2018 CE (CE1) – Previous Year Questions with Solutions
All 65 questions of GATE 2018 CE (CE1) with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – “The driver applied the as soon as she approached the hotel where she wanted to take a .” Choose the best words.
- Question 2 – “It is no surprise that every society has had codes of behaviour; however, the nature of these codes is often .” Choose the best word.
- Question 3 – Hema is 5 years older than twice Hari’s age. Suresh is 13 years younger than ten times Hari’s age. Suresh is three times as old as Hema. How old is…
- Question 4 – Towers A and B are 90 m and 140 m tall, 100 m apart. A horizontal skywalk connects their floors at 70 m. A taut rope runs from the top of A to the…
- Question 5 – Room temperature obeys T=K( p+T 0), where T 0 is outside temperature, p number of occupants, and K, Θ constants. Data (T 0,p,T) are (25,2,32.4) and…
- Question 6 – A fruit basket was sold at 12.5% loss. Selling it for ₹108 more would give 10% gain. What loss was incurred?
- Question 7 – A superalloy wire’s price is proportional to the square of its length. A 10 m wire costs ₹1600. What is the combined price of separate wires 4 m and 6…
- Question 8 – Which functions describe the graph on their indicated ranges? (i) y=2x+4, -3 x-1. (ii) y= x-1 , -1 x2. (iii) y= x -1 , -1 x2. (iv) y=1, 2 x3.
- Question 9 – For each integer n>0, a n=1/n-1/(n+2). Find the sum of the first 50 terms.
- Question 10 – Each letter in the arrangement is a distinct integer from 1 to 9. Products A×B×C, B×G×E and D×E×F are equal. Which integer cannot be any of A, B, C,…
- Question 11 – Which matrix is singular?
- Question 12 – Find the inverse of the orthogonal matrix Q=17bmatrix3&2&6\\-6&3&2\\2&6&-3bmatrix.
- Question 13 – At x = 0, f(x)=x3 has .
- Question 14 – A column of height h and rectangular section a×2a has buckling load P. If its section becomes 0.5a×3a and height 1.5h, its buckling load becomes .
- Question 15 – An ISHB 350 steel column of mass 72.4 kg/m transfers factored axial load 2000 kN to an M20 concrete pedestal through a square base plate. Concrete…
- Question 16 – Le Chatelier apparatus determines .
- Question 17 – Concrete deformation due to sustained loading is .
- Question 18 – A solid circular beam of radius 0.25 m and length 2 m carries only a 20 kN m twisting moment about z at its free end, as shown. At point M on the…
- Question 19 – Two rectangular under-reinforced concrete sections X and Y are identical except Y has 10% more longitudinal compression reinforcement. Which is…
- Question 20 – For a strip footing on sand, approximately what percentage reduction in bearing capacity occurs when groundwater rises from much deeper than the…
- Question 21 – A surface square footing’s width equals a surface circular footing’s diameter on sand. The ratio of circular to square ultimate bearing capacities is…
- Question 22 – The conventional Bernoulli equation applies to .
- Question 23 – A city has 20000 vehicles, each travelling 12000 km/year and emitting NOx at 2.0 g/km. Total annual NOx release is .
- Question 24 – A bitumen sample is VG30 according to IS:73-2013 referred to in the paper. The “30” indicates .
- Question 25 – For the speed–density relation shown, the flow–density curve is .
- Question 26 – A well-designed signalized intersection has .
- Question 27 – Flow velocity components are u=y2, v=-xy, w=0. The z-component of angular velocity at (0,−1,1), to two decimals, is radians per unit time.
- Question 28 – Twenty concrete cubes have compressive-strength frequencies (MPa; count): (23;4), (28;2), (22.5;5), (31;5), (29;4). For mean μ and standard deviation…
- Question 29 – A fillet weld has direct shear stress 50 MPa and bending tensile stress 150 MPa. According to IS 800:2007 referred to in the paper, equivalent stress,…
- Question 30 – A dry soil pat in a shrinkage-limit test has volume 50 cm³ and mass 88 g. Solids specific gravity is 2.71 and water density 1 g/cm³. Shrinkage limit,…
- Question 31 – A core cutter is 130 mm high with inner and outer diameters 100 and 106 mm. Its area ratio, to two decimals, is %.
- Question 32 – A spillway is tested in a 1:50 laboratory model. Prototype discharge is 1000 m³/s. Neglect variation of gravity. Model discharge, to two decimals, is…
- Question 33 – A 10 m wide rectangular channel carries 20 m³/s at critical depth. With g = 9.81 m/s², specific energy, to two decimals, is m.
- Question 34 – Muskingum routing coefficients C₀ and C₁ are −0.25 and 0.55. The third coefficient C₂ is .
- Question 35 – A city produces 40106 kg of municipal solid waste per year. It recovers 10%, sending the rest to a single-lift 3 m landfill compacted to 550 kg/m³.…
- Question 36 – Evaluate 0 x2x\,dx.
- Question 37 – A 2 m steel cantilever with square section 0.1 m × 0.1 m carries a vertical free-end load producing 5 mm tip displacement. Given E=21011 N/m², maximum…
- Question 38 – A 250 mm radius, 10 kN cylinder is rolled over a 50 mm obstacle by horizontal centre force P, as shown. All interfaces are frictionless. Minimum P is…
- Question 39 – A plate in equilibrium carries uniform tensile edge stresses xx=30 MPa and yy=50 MPa as shown. Given E=21011 N/m², ν = 0.3 and zz=0, strain zz is .
- Question 40 – The simply supported uniform-EI beam PQ carries moments M and 2M as shown. The slope at P is .
- Question 41 – A 0.5 m × 0.5 m square concrete pile is driven into homogeneous clay of undrained strength 50 kPa and unit weight 18 kN/m³. Design load is 500 kN,…
- Question 42 – A closed tank has bottom mercury layer 0.5 m thick (SG 13.6), water layer 2.0 m thick above it, and oil layer 3.0 m thick (SG 0.6) above the water.…
- Question 43 – A rapid sand filter must produce 99 MLD potable water. Backwashing loss is 5%, filtration rate 6 m/h, and each bed has length/width 1.35 and width 5.2…
- Question 44 – At a priority intersection, a single-lane one-way road at 20 km/h crosses an undivided two-lane two-way road at 50 km/h. Perception–reaction time is…
- Question 45 – A closed traverse has signed consecutive coordinates (northing, easting) in metres: PQ (−437,+173), QR (+101,+558), RS (+419,−96), SP (−83,−634).…
- Question 46 – A horizontal 100 m × 100 m square at elevation 650 m appears as 1 cm² on a vertical aerial photograph. Camera focal length is 150 mm. Camera elevation…
- Question 47 – For 2u/ x2=25\,2u/ t2 with initial data u(x,0)=3x and u/ t(x,0)=3, find u at x = 1, t = 1.
- Question 48 – For y+2y+y=0, y(0)=1 and y(0)=-1, y at x = 1, to three decimals, is .
- Question 49 – Gradually varied depth satisfies dydx=1-e-(10/3) y250-45e-3 y. Starting at y(0) = 0.8 m, use one single-step Euler calculation to x = 1 m. Depth, to…
- Question 50 – A short tied RCC column of section 250 mm × 300 mm has four 16 mm longitudinal bars, Fe415 steel and M20 concrete. Neglect eccentricity. Under IS…
- Question 51 – At a critical RC beam section, factored shear is 200 kN, width 250 mm and effective depth 350 mm. Concrete design shear strength is 0.62 N/mm² and…
- Question 52 – The symmetrical welded I-section shown has 140 mm wide, 9 mm thick flanges, overall depth 200 mm and web thickness 6.1 mm. Its weaker-axis plastic…
- Question 53 – The deformable pin-jointed truss has the geometry, loading and member rigidities shown. Given E=21011 N/m², A = 10 mm², L = 1 m and P = 1 kN,…
- Question 54 – The proposed excavation is shown. Adjacent river level is +20 m, clay unit weight 20 kN/m³ and water unit weight 10 kN/m³. Factor of safety against…
- Question 55 – A normally consolidated clay sample fails in drained triaxial compression at effective confining pressure 200 kPa and deviator stress 400 kPa. An…
- Question 56 – Soil has void ratio 0.55 at effective normal stress 140 kPa and compression index 0.25. To reduce void ratio to 0.40, the required effective-stress…
- Question 57 – A 7 m high rigid smooth retaining wall with vertical backface retains saturated clay of saturated unit weight 17.2 kN/m³ and undrained cohesion 20…
- Question 58 – Six well-distributed rain gauges record depths 470, 465, 435, 525, 480, 510 mm. Their corresponding Thiessen areas are 95, 100, 98, 80, 85, 92 in…
- Question 59 – Ponded infiltration rate is f=30+10e-2t mm/h, with t in hours. Infiltration depth during the last 20 minutes of a 30-minute storm, to one decimal, is…
- Question 60 – A hydraulic-structure model has discharge 0.05 m³/s and velocity 0.25 m/s. The full-scale structure is 30 times larger and carries 270 m³/s.…
- Question 61 – Water contains Ca²⁺ 60 mg/L (atomic weight 40), Mg²⁺ 30 mg/L (atomic weight 24.31) and HCO₃⁻ 400 mg/L (formula weight 61). Carbonate hardness…
- Question 62 – Ultimate BOD is 87% of COD, which is 300 mg/L. First-order natural-log rate constant is 0.23 day⁻¹ and temperature coefficient 1.047. BOD after three…
- Question 63 – On a dry basis, each kg of waste activated sludge (WAS) contains 54 g carbon and 10 g nitrogen; green waste (GW) contains 360 g carbon and 6 g…
- Question 64 – Design life is 15 years, lane distribution factor 0.75, annual commercial-traffic growth 6%, vehicle damage factor 4 and initial traffic at…
- Question 65 – An aircraft approaches a runway threshold at 200 km/h, decelerates at 1.697 m/s² and exits the runway after 18 s. It then decelerates at 1 m/s² to…