GATE 2021 CE (CE1) – Previous Year Questions with Solutions
All 65 questions of GATE 2021 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 – Getting to the top is than staying on top.
- Question 2 – The text TRIANGLE is above the X-axis as shown. Which option is its mirror image about the X-axis?
- Question 3 – In a company, 35% of the employees drink coffee, 40% drink tea and 10% drink both. What percentage drink neither tea nor coffee?
- Question 4 – Two operators are defined by p q=(p2+q2)/(pq) and p q=p2/q. If x y=22, then x=
- Question 5 – Four persons P, Q, R and S are seated in a row facing the same direction. P and R cannot sit adjacent, and S must sit to the right of Q. How many…
- Question 6 – Statement: Either P marries Q or X marries Y. Which is its logical negation?
- Question 7 – Sheets M and N each measure 6 cm × 4 cm. Operation 1 folds a sheet in half by joining its current short edges; operation 2 joins its current long…
- Question 8 – Five equal-length segments PR, PS, QS, QT and RT form the five-pointed star shown. Find the marked tip angle θ in degrees.
- Question 9 – Define (p,q)=(p-q)2 for p q and p+q for p<q. Evaluate (-(-3+2),(-2+3))/(-(-2+1)).
- Question 10 – Humans can construct worlds entirely in their minds that do not exist physically. So far as we know, no other species possesses this ability.…
- Question 11 – The rank of the matrix bmatrix1&2&2&3\\3&4&2&5\\5&6&2&7\\7&8&2&9bmatrix is
- Question 12 – If P=bmatrix1&2\\3&4bmatrix and Q=bmatrix0&1\\1&0bmatrix, then QTPT is
- Question 13 – The shape of the cumulative distribution function of a Gaussian distribution is
- Question 14 – A propped cantilever EF carries a unit moving load. Using the positive-shear convention shown, which qualitative influence line describes shear at G?
- Question 15 – Gypsum is typically added in cement to
- Question 16 – A contractor estimates direct and indirect project costs of ₹160000 and ₹20000. If markup is 10% of the bid price, the quoted price in rupees is
- Question 17 – Saturated clay in an oedometer is at equilibrium under 50 kN/m² vertical pressure. Immediately after increasing the pressure to 150 kN/m², the…
- Question 18 – A partially saturated soil has water content 25%, bulk unit weight 18.5 kN/m³ and specific gravity 2.65. With water unit weight 9.81 kN/m³, its unit…
- Question 19 – Water flows at equal depth in the most hydraulically efficient triangular and rectangular channels. The ratio of the triangular hydraulic radius to…
- Question 20 – Kinematic viscosity is dimensionally represented as
- Question 21 – Which statement is correct?
- Question 22 – Which statement is correct?
- Question 23 – The liquid forms of particulate air pollutants are
- Question 24 – The most commonly designed highway vertical curve is
- Question 25 – A highway designed for 80 km/h has horizontal curve radius 250 m. Assuming design lateral friction develops fully, the required superelevation is
- Question 26 – Which statement is NOT correct?
- Question 27 – Which statements are correct?
- Question 28 – Find x1(1/ x-1/(x-1)), correct to one decimal place.
- Question 29 – Evaluate V8xyz\,dV for V=[2,3][1,2][0,1] (integer).
- Question 30 – The figure shows xx=40 MPa, yy=35.6 MPa and transformed XX=120 MPa, with the inclined face at 30° to x and the X-normal at 60°. Find xy in MPa to one…
- Question 31 – A beam has deformation y=x2-xL. Find its curvature at midspan (integer).
- Question 32 – Square truss EFGH has side L=3 m, pin at E, roller at H and diagonal FH. All bars have axial rigidity R=500×10³ kN. Opposite outward forces P=150 kN…
- Question 33 – Soil has cohesion c=15 kPa, friction angle φ=20° and unit weight γ=17.5 kN/m³. Find maximum unsupported excavation depth in m, to two decimals.
- Question 34 – Two reservoirs have heads 30 m and 10 m above a common datum and are connected by a confined aquifer over a 2 km flow path. K=25 m/day and effective…
- Question 35 – A two-phase signal has lost time 3 s per phase and critical flow ratios 0.37 and 0.40. Find Webster optimum cycle in seconds, to one decimal.
- Question 36 – Solve y+2y+y=0 with y(0)=1 and y(1)=3.
- Question 37 – Approximate 01ex dx using the trapezoidal rule with four equal subintervals.
- Question 38 – A 50 mL wastewater sample is dried in a crucible. Empty crucible mass is 54.352 g; crucible plus dried sample is 55.129 g; after firing at 600°C for 1…
- Question 39 – A weightless wedge of angle 30° raises a weightless block under vertical load Q. The inclined contact has friction coefficient 0.2; all other contacts…
- Question 40 – Past ratios of Y’s bid price to X’s cost are 1.02,1.04,1.06,1.10,1.12 with frequencies 6,12,3,6,3. Based on these 30 bids, X’s probability of beating…
- Question 41 – In drained triaxial tests, curve P initially contracts then dilates, while Q continues contracting. Which soils correspond to P and Q?
- Question 42 – A circular pipe of radius R has axial velocity V r=U(1-r2/R2), with U the centreline maximum. Find the average velocity.
- Question 43 – In a five-tube coliform test, sample volumes 0.01,0.001,0.0001 mL give positive counts 5,3,1. The supplied MPN table for 10,1,0.1 mL gives index 110…
- Question 44 – Wastewater ammonia nitrogen exists as NH₄⁺ and NH₃. Considering pH alone, which statement is correct?
- Question 45 – Traffic speed and density satisfy u=70−0.7k, with u in km/h and k in veh/km. At capacity, the average time headway is
- Question 46 – For x=2.0,2.5,3.0,3.5,4.0 the ordinates are 5.00,7.25,10.00,13.25,17.00. Find area by Simpson’s 1/3 rule to two decimals.
- Question 47 – Vehicular arrivals follow a Poisson process with mean rate 2 vehicles/min. Find probability of at least two arrivals in one minute, to two decimals.
- Question 48 – The illustrated symmetric truss has all member lengths L=2 m. Sloping and bottom members have area A=10⁴ mm², while QR has area 2A. A downward force…
- Question 49 – A cantilever prestressed beam has L=1.5 m, b=200 mm, d=300 mm and a straight 50 kN tendon 50 mm below its top. A downward 5 kN tip load acts. Find…
- Question 50 – A six-bolt bracket carries 60 kN downward at eccentricity 100 mm. Bolts are in two columns x=±40 mm and three rows y=−30,0,30 mm. R is the middle bolt…
- Question 51 – A simply supported 8 m beam carries a 100 kN midspan point load. Its left half has rigidity E(2I), right half EI, with E=3×10⁴ N/mm² and I=225×10⁶…
- Question 52 – A square plate of side 1 m deforms with straight edges. Horizontal corner displacements are O:0, P:20 mm, Q:−10 mm, R:0; the figure also gives…
- Question 53 – A project has activities N(2,none), P(5,N), Q(3,N), R(4,P), S(5,Q), T(8,R), U(7,R and S), V(2,U), W(3,U), X(5,T and V), Y(1,W), Z(3,X and Y), with…
- Question 54 – Sand extends 15 m below ground; an 8 m saturated clay layer follows. Sand unit weights are 17.5 kN/m³ above GWT and 18.5 below; saturated clay is 17.…
- Question 55 – A 10 m retaining wall weighs 5000 kN/m. Clay backfill has γ=17.2 kN/m³, c=30 kPa and φ=0°. Base friction angle is 20°. The tension crack fills with…
- Question 56 – A trapezoidal combined footing has end widths 5 m and 1.5 m and length L. Two 0.5 m square columns, 5 m centre-to-centre, carry 2000 and 1500 kN. The…
- Question 57 – For a 15 m purely cohesive slope, cu=75 kPa. A trial circle of radius 25 m subtends 60°; the sliding mass weighs 2500 kN/m with line of action 10 m…
- Question 58 – An unlined regime canal has silt factor 1 and flow width 71.25 m. Treating it as a wide channel, find average depth in m to two decimals.
- Question 59 – A horizontal cylinder has diameter 2 m, length 3 m and weight 25 kN. Water on its left reaches 1 m above its top; oil of specific gravity 0.8 on its…
- Question 60 – A 20 cm diameter well fully penetrates a 30 m confined aquifer. Steady pumping is 40 L/s, drawdown at the well is 4 m and influence radius is 245 m.…
- Question 61 – A baghouse treats 12 m³/s with five equal-area sections; one may be offline while four operate. Air-to-cloth ratio is 6 m³/(min·m²). Bags have…
- Question 62 – A secondary clarifier receives 9600 m³/day at solids concentration 3000 mg/L, thickens to 12000 mg/L and is designed for solids flux 3.2 kg/(m²·h).…
- Question 63 – Observed spot speeds are 40,55,60,65,80 km/h. Find space-mean speed in km/h to two decimals.
- Question 64 – Runway segments 0–300,300–600,600–1100,1100–1400,1400–1700 m have gradients +1.2%,−0.7%,+0.6%,−0.8%,−1.0%. Find effective gradient in percent to two…
- Question 65 – A closed traverse PQRS has internal angles P=92°,Q=68°,R=123°,S=77°. Fore bearing of PQ is 27°. Find fore bearing of RS in degrees (integer).