GATE 2026 CE (CE2) – Previous Year Questions with Solutions
All 65 questions of GATE 2026 CE (CE2) with answers and explanations. Read each question, then practise it by topic or as a full paper.
Practise this paper in The GATE Grind →
- Question 1 – 'The team more than 300 runs in 20 overs rains. However, some players needed to improve their batting skills.' Choose the option with the correct…
- Question 2 – If a positive real x satisfies the following equation 2 x + 2 x = 48, then the value of x is
- Question 3 – The next figure (indicated by '?') in the sequence is
- Question 4 – 'All the mangoes in the basket are good.' If the above statement is false, then which one of the following statements is necessarily true?
- Question 5 – Consider the following statements about four numbers: (S1) The average of the four numbers is 25 (S2) Each number is at most 40 (S3) Each number is at…
- Question 6 – 'People are crowding around pit into which elephant has fallen. I have never seen an elephant looking more bewildered miserable. Here it is in a most…
- Question 7 – The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, 250 items were sold with the average selling price of…
- Question 8 – Consider a string P of length l that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its…
- Question 9 – The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They are seated in rows and columns as shown…
- Question 10 – Which one of the patterns labelled P, Q, R, and S is used to generate the following figure?
- Question 11 – Matrix A has the eigenvalues 1, 2, and 3. The Trace of A2 is
- Question 12 – A fifth-degree polynomial in x is defined for x > 0. All coefficients of the polynomial are positive. The first derivative of the polynomial is…
- Question 13 – Periodic function f(x) is given below. f(x) = cases -1, & - < x < 0 \\ 1, & 0 < x < cases; f(x + 2) = f(x) The CORRECT option representing the Fourier…
- Question 14 – A rectangular singly reinforced concrete beam has a width of 300 mm and an effective depth of 550 mm. The grades of steel and concrete are Fe500 and…
- Question 15 – As per IS:800-2007, design of a cantilever steel beam section for its moment capacity requires fulfilment of an upper bound, expressed as: M d 1.5\, Z…
- Question 16 – A plane strain problem (in X-Y plane) must satisfy the condition:
- Question 17 – Which one of the following stress conditions represents the state of pure shear stress?
- Question 18 – The horizontal beam shown in the figure has fixed supports at F and L. Internal hinges are provided at locations G and J. The beam supports vertically…
- Question 19 – The Culturable Command Area (CCA) for a canal is 10000 hectares. The base period for a crop in the CCA is 140 days. Watering depth for the crop is 40…
- Question 20 – Following statements are made with respect to the mass curve of rainfall: (I) Slope at a point on the curve can be positive. (II) Slope at a point on…
- Question 21 – Based on the Casagrande's plasticity chart, plasticity index (in %) of inorganic clays having a liquid limit of 40 %, ranges between
- Question 22 – Information related to foundation design is provided in table below. Column 1 Column 2 --- --- (I) Converse-Labarre formula (P) Pile capacity from…
- Question 23 – An incident occurred on one side of a median on a four-lane dual carriageway road section. This incident disrupted the traffic movement in one…
- Question 24 – Which one of the following statements is TRUE?
- Question 25 – The primary purpose of the Windrose diagram is for the design of
- Question 26 – Which one of the following statements is TRUE with respect to levelling survey?
- Question 27 – Column I presents common air pollutants, and column II presents treatment technologies commonly employed to control air pollutants. Air pollutant…
- Question 28 – One-third of the solid matter in a sludge containing 90 % water is composed of fixed mineral solids with specific gravity 2.5, and two-third is…
- Question 29 – The grown algae are useful in the operation of
- Question 30 – A partial differential equation is given below. 2 u x2 - 2 u y2 = 0 Possible solution(s) is/are:
- Question 31 – The eigenvalues of [A] = bmatrix 2 & -3.5 & 6 \\ 3.5 & 5 & 2 \\ 8 & 1 & 8.5 bmatrix are 1 = -1.547, 2 = 12.330, and 3 = 4.711. The absolute value of…
- Question 32 – The probability (in %) that a storm having return period of 15 years may occur in the next 10 years is (*rounded off to two decimal places*).
- Question 33 – A fully saturated sandy soil deposit has water content 20 % and specific gravity 2.65. The critical hydraulic gradient for seepage through the soil to…
- Question 34 – A downgrade of 1 in 100 meets an upgrade of 1 in 125 on a road. If the rate of change of grade is 0.10 % per 30 m, the length (in m) of the vertical…
- Question 35 – A tourist visiting a city holds a map prepared at a scale of 1:25000. The tourist measures the distance between place A and place B in the city as…
- Question 36 – Let f(x) = vmatrix x3 & x & x \\ 6 & -1 & 0 \\ p & p2 & p3 vmatrix where p is a constant. The value of d3dx3 f(x) at x = 0 is
- Question 37 – Vector field V is defined as V = 3x2yz\,i - 5xy\,j + 6yz2\,k The curl of V at point (2, -1, 1) is
- Question 38 – A simply supported, linearly elastic, homogeneous, prismatic beam of length L and flexural rigidity EI is shown in the figure. [Figure: A simply…
- Question 39 – The plane truss shown in the figure is hinge-supported at E and F. The truss is subjected to vertical downward force at R and horizontal force at G.…
- Question 40 – Consider the following statements with respect to rigid pavements: Statement-1: Bottom-up cracking (BUC) in rigid pavements is caused at the edge of…
- Question 41 – For the traverse given below, the benchmark is at ground point L. The Reduced Level (RL) of L is 150.000 m. The direction of the traverse is from L to…
- Question 42 – The 2.4 ml of raw sewage is diluted to 240 ml. The Dissolved Oxygen (DO) of the diluted sample at the beginning of Biochemical Oxygen Demand (BOD)…
- Question 43 – Types of flood routing and methods are given in the table below. Column 1: Type of Flood Routing Column 2: Method --- --- (P) Hydrologic routing (i)…
- Question 44 – A shallow footing is subjected to a vertical load. Within the elastic limit of the underlying soil, the TRUE statement(s) is/are:
- Question 45 – Which of the following statements is/are TRUE with respect to the type of stresses to be considered for the design of rigid pavements?
- Question 46 – Consider differential equation dydx + xy = x with the condition as y = 0 at x = 0. The value of y at x = 1.0 is (*rounded off to two decimal places*).
- Question 47 – The age (in years) of a population is normally distributed with a mean of 36 and standard deviation of 12. The height (in cm) of the same population…
- Question 48 – A 250 mm wide × 600 mm deep rectangular concrete beam is prestressed by means of 4 high-tensile tendons, each of 14 mm diameter. The centre of the…
- Question 49 – A rigid-jointed portal frame, shown in the figure, consists of beam and columns of equal length L. The frame has a fixed support at one end and a…
- Question 50 – Linearly elastic, homogeneous, uniform bars BCD and FG shown in the figure have fixed supports at B and G, respectively. For both the bars, axial…
- Question 51 – A simply-supported rectangular reinforced concrete beam has a width 250 mm and an overall depth 600 mm. The effective span of the beam is 6.23 m. The…
- Question 52 – Width (in m) of a rectangular channel required to carry a discharge of 96 m3/s at a critical depth of 9.8 m is (*rounded off to two decimal places*).…
- Question 53 – The cross section of a 0.5 m wide vertical gate holding water and oil is shown in the figure. The unit weights of water and oil are 10 kN/m3 and 7.5…
- Question 54 – A centrifugal pump is delivering water from an underground tank to an overhead reservoir against a static head of 35 m through a 2 km long, 250 mm…
- Question 55 – The flow depth for a discharge of 10 m3/s in a wide rectangular channel is 2.0 m. Assume that the flow is uniform. If the discharge is doubled, the…
- Question 56 – For a clayey soil stratum, the time required for degree of consolidation from 25 % to 50 % is 30 days. The total time (in days) required for 90 %…
- Question 57 – The ultimate bearing capacity of a 1 m wide strip footing is 532.80 kPa, when it is embedded at 1 m depth in dry cohesionless soil. The soil has a…
- Question 58 – A building is proposed in an area having thick deposit of silty clay. The water table is at the ground surface. The saturated unit weight of soil is…
- Question 59 – A soil sample has following properties: Natural water content = 30 % Plasticity index = 40 % Liquidity index = 50 % The estimated plastic limit (in %)…
- Question 60 – For a given traffic stream, the speed-density relationship is given as: v = v o (k jk) where v is the mean speed (in km/h), and k is the density (in…
- Question 61 – A vertical curve is formed by a descending gradient of 1 in 40 meeting an ascending gradient of 1 in 50. Consider the following: Stopping Sight…
- Question 62 – Interior angles measured at the locations of a closed traverse ABCDA are given in table below. Location Interior angle --- --- A 71° 1′ 40″ B 104° 54′…
- Question 63 – The analysis of major cations and anions in a water sample collected from a city's water supply is given below. Ions present in minor concentrations…
- Question 64 – Anaerobic bacteria are being utilized for the destruction of biodegradable organic content of wastewater measured in terms of Chemical Oxygen Demand…
- Question 65 – In an industry, a cyclone collector with 80 % efficiency is installed for air purification, followed by an electrostatic precipitator with 50 %…