GATE 2021 CE (CE2) – Previous Year Questions with Solutions
All 65 questions of GATE 2021 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 – Which sentences are grammatically correct? (i) Arun and Aparna are here. (ii) Arun and Aparna is here. (iii) Arun’s families is here. (iv) Arun’s…
- Question 2 – Which option is the mirror image of PHYLAXIS about the horizontal X-axis shown?
- Question 3 – Two fair six-faced dice numbered 1–6 are rolled independently. Find the probability of an even number on each.
- Question 4 – Define p q=p-q and p q=pq. Evaluate (9(67))(7(65)).
- Question 5 – P,Q,R,S sit in a row, with R forbidden from the second position from the left. How many distinct arrangements are possible?
- Question 6 – From O, travel 3 units east and 4 south to P. Move northeast until reaching a point 6 units east of O, then northwest to Q, which is 8 units north of…
- Question 7 – The author notes that musicians and actors rehearse and says it is no less important for public speakers to rehearse their talks. Which conclusion…
- Question 8 – Some football players play cricket. All cricket players play hockey. Which conclusion necessarily follows?
- Question 9 – In square PQRS of side r, the shaded lens is the overlap of quarter-circles of radius r centred at S and Q. Find the probability that a uniformly…
- Question 10 – In an equilateral triangle, the sides are divided into 4,6 and 8 equal parts respectively, each part having integer length in cm. Find the minimum…
- Question 11 – Find xx x/(1+x2).
- Question 12 – Find rank of bmatrix5&0&-5&0\\0&2&0&1\\-5&0&5&0\\0&1&0&2bmatrix.
- Question 13 – Find the unit normal to x2+y2+z2-48=0 at (4,4,4).
- Question 14 – For an orthogonal square matrix A, which condition is mandatory?
- Question 15 – Choose the correct general surveying sequence.
- Question 16 – Strain hardening of structural steel means
- Question 17 – A rigid bar of mass m is supported by three identical massless columns of length L, each fixed against end rotation. Each column has lateral…
- Question 18 – Seasoning construction timber is essentially done to
- Question 19 – For bids in a two-envelope system, which is correct?
- Question 20 – Which triaxial test best assesses long-term stability of an excavated clay slope?
- Question 21 – In USCS, MH denotes
- Question 22 – For fully developed laminar pipe flow, find momentum correction factor divided by energy correction factor.
- Question 23 – For a negatively sloped linear speed–density relation with free-flow speed vf, at what speed does maximum flow occur?
- Question 24 – Assertion: reducing raw-material consumption is one of the best ways to reduce solid waste. Reason: solid waste is seldom generated when raw materials…
- Question 25 – In an EDTA hardness titration with eriochrome black T indicator, EDTA replaces the indicator in divalent-metal complexes. What colour change marks the…
- Question 26 – The softening point of bitumen has the same unit as
- Question 27 – Which statements are correct?
- Question 28 – Evaluate -11xe x \,dx to one decimal.
- Question 29 – A fixed stepped solid shaft OPQ has diameters 0.10 m in OP and 0.08 m in PQ. Same-direction torques 2 kN·m and 1 kN·m act at P and Q. Material shear…
- Question 30 – A 4 m propped cantilever has an internal hinge at its midpoint and carries 10 kN/m throughout. Find vertical reaction at fixed end X in kN (integer).
- Question 31 – A Shelby sampler has internal diameter 48 mm and external diameter 52 mm. Find area ratio in percent to two decimals.
- Question 32 – A 12-hour, 1 cm unit hydrograph is triangular with base 144 h and peak 23 m³/s. Find catchment area in km², nearest integer.
- Question 33 – A lake is 60 m deep. Atmospheric pressure is 91 kPa and water unit weight 9790 N/m³. Find absolute pressure at maximum depth in kPa to two decimals.
- Question 34 – A three-phase signal has critical flow ratios 0.18,0.32,0.22 and lost time 2 s per phase. Find Webster optimum cycle in seconds, nearest integer.
- Question 35 – Surveyors report an angle as 36°30′,36°00′,35°30′,36°30′ based on 4,3,8,4 observations respectively. Find its most probable value in degrees to two…
- Question 36 – For constant k, the general solution of dy/dx-y/x=1 has which form?
- Question 37 – Find the smallest eigenvalue and matching eigenvector of bmatrix2&-2\\-1&6bmatrix.
- Question 38 – A simply supported prismatic steel beam of span L has a point load P at L/3 from the left. Which statement compares collapse plastic moments from…
- Question 39 – Frame EFG has fixed base E, vertical column EF=2L and horizontal beam FG=L ending in a roller at G. All members have equal EI; FG carries UDL w.…
- Question 40 – Clay thickness H has initial void ratio e₀ and stresses p 0<p c<p 0+ p. Compression and swelling indices are Cc and Cs. Which consolidation-settlement…
- Question 41 – A 6 m wide rectangular channel carries 20 m³/s. With g=9.81 m/s², find the depth at which specific energy is minimum.
- Question 42 – Consider: (i) wind-profile exponent is smaller for very unstable than neutral air; (ii) downwind concentration from an elevated source is inversely…
- Question 43 – A sand filter has grain diameter 0.4 mm, shape factor 0.84, specific gravity 2.55, bed depth 0.70 m and initial porosity 0.35. Backwashing expands…
- Question 44 – A traverse has sum of latitudes +2.1 m and sum of departures −2.8 m. Find length and bearing of its closing error.
- Question 45 – Soil has liquid limit 60%, plastic limit 27%, natural water content 32% and flow index 27. Find toughness index and liquidity index respectively.
- Question 46 – For f(x,y)=xey, find the directional derivative at (2,0) toward (1/2,2), as an integer.
- Question 47 – A 1.5 m inner-diameter cylindrical water tank is supported by a solid 75 mm steel column, fixed at its base and free at its top, of height 4 m. E=200…
- Question 48 – A fixed-fixed beam is represented by a 10 kg lumped mass at its midpoint. Its flexural stiffness is 42 kN/m. Find natural frequency in Hz (integer).
- Question 49 – Cable EFGH has horizontal spans EF,FG,GH each 2 m. F is 3 m below E; H is 1 m below E. Downward loads at F,G are 10,12 kN. Find tension magnitude in…
- Question 50 – A hose discharges water at 50 m/s and 45° above horizontal. Neglect air resistance and take g=9.81 m/s². Find maximum height above the nozzle in m to…
- Question 51 – An uncracked RC section is 200 mm wide and 350 mm deep, reinforced with three 16 mm bars whose centres are 35 mm above the bottom. Ec=2×10⁴ MPa and…
- Question 52 – Project activities (duration days, predecessors): A(6,none), B(10,A), C(14,A), D(8,B), E(12,C), F(8,C), G(16,D and E), H(8,F and G), K(2,B), L(5,G and…
- Question 53 – Equipment costs ₹160000, salvage value ₹10000 and estimated life 5 years. Find difference between book values at end of year 4 using straight-line and…
- Question 54 – A 2.8 m ×3.5 m footing at depth 1.5 m in clay carries vertical load at eccentricity 0.8 m along its width. γ=18.2 kN/m³,c=40 kPa,φ=0°. Given…
- Question 55 – A 2 m sand layer (γ=18.5 kN/m³) overlies 6 m saturated clay, with GWT at the clay top. Clay Gs=2.65, water content=45%, Cc=0.25. Final effective…
- Question 56 – Integrate f(x)=10x-20x2 from 0 to 0.5 by the trapezoidal rule with five equal subdivisions. Round to two decimals.
- Question 57 – Pressure rises from 120 to 180 kPa. Sample M changes e:0.575→0.510 and N changes e:0.600→0.550. Hydraulic-conductivity ratio kM/kN=0.125. Find cvM/cvN…
- Question 58 – A rainfall hyetograph has seven half-hour intensities 12,4.5,15,14,4,7.5,3 mm/h. Total rainfall is 3 cm and direct runoff is 1.6 cm. Find φ-index in…
- Question 59 – An ideal vertical venturimeter has inlet diameter 20 cm, throat diameter 10 cm and tap separation 30 cm. A mercury differential manometer reads 15 cm,…
- Question 60 – A reservoir has live storage 300 million m³ and irrigates 40000 ha with two fillings over a crop base period of 120 days. Find duty in ha per cumec,…
- Question 61 – ASP receives 7500 m³/day, influent ultimate BOD 200 mg/L and target effluent BOD 20 mg/L. Reactor MLVSS is 3000 mg/L and underflow 12000 mg/L. HRT=0.2…
- Question 62 – A grit chamber is 0.5 m wide and carries peak flow 9720 m³/day at depth 0.75 m. Horizontal velocity is 0.3 m/s and target particle settling velocity…
- Question 63 – An aggregate blend has coarse,fine,filler mass percentages 55,40,5 and bulk specific gravities 2.55,2.65,2.70. Find blend bulk specific gravity to two…
- Question 64 – Level-road stopping sight distance is 140 m at design speed 90 km/h. Braking deceleration is 3.5 m/s² (g=9.81). Find perception/reaction time in…
- Question 65 – A 2° broad-gauge railway curve has maximum sanctioned speed 100 km/h and equilibrium speed 80 km/h. Dynamic gauge is 1750 mm; degree of curve is the…