Civil Engineering GATE 2025 Set 1 Questions with Answer

Ques 1 Concrete Technology

Identify the FALSE statement from the following options:

The compressive strength of a concrete test specimen can vary depending on its shape and size

Air-dried and saturated test specimens show the same compressive strength for concrete

Curing conditions, such as temperature and relative humidity, can influence the compressive strength of concrete

Compressive strength depends on the water-to-binder ratio used in the concrete mixture

Ques 2 Construction Materials

If the weights retained on the 2.36 mm, 1.18 mm, 600 μm, and 300 μm sieves are 30%, 35%, 15%, and 20%, respectively, of the total weight of an aggregate sample, then the fineness modulus of the sample is ______ (rounded off to 2 decimal places).

Ques 3 Engineering Mathematics

Suppose λ is an eigenvalue of matrix A and x is the corresponding eigenvector. Let x also be an eigenvector of the matrix B=A-2I, where I is the identity matrix.
Then, the eigenvalue of B corresponding to the eigenvector x is equal to

λ+2

2λ

λ-2

Ques 4 Engineering Mathematics

Let For Ax=b to be solvable, which one of the following options is the correct condition on b₁, b₂, and b₃:

b₁+b₂+b₃=1

3b₁+b₂+2b₃=0

b₁+3b₂+b₃=2

b₁+b₂+b₃=2

Ques 5 Engineering Mathematics

Which one of the following options is the correct Fourier series of the periodic function f(x) described below:

f(x)=k/2 + 2k/π(cos(π/2)x - (1/3)cos(3π/2)x + (1/5)cos(5π/2)x -+···)

f(x)=k/2 + 2k/π(sin(π/2)x - (1/3)sin(3π/2)x + (1/5)sin(5π/2)x -+···)

f(x)=k + 4k/π(cos(π/2)x - (1/3)cos(3π/2)x + (1/5)cos(5π/2)x -+···)

f(x)=k + 4k/π(sin(π/2)x - (1/3)sin(3π/2)x + (1/5)sin(5π/2)x -+···)

Ques 6 Engineering Mathematics

X is a random variable that can take any one of the values 0, 1, 7, 11, and 12. The probability mass function for X is P(X=0)=0.4; P(X=1)=0.3; P(X=7)=0.1; P(X=11)=0.1; P(X=12)=0.1. Then, the variance of X is

20.81

28.40

31.70

10.89

Ques 7 Engineering Mathematics

Which of the following equations belong/belongs to the class of second-order, linear, homogeneous partial differential equations:

&partial;²u/&partial;t² = c²(&partial;²u/&partial;x²+&partial;²u/&partial;y²)+xy

&partial;²u/&partial;x²+&partial;²u/&partial;y²+&partial;²u/&partial;z²=0

(&partial;²u/&partial;t²)²=c²&partial;²u/&partial;x²

&partial;²u/&partial;x² + &partial;u/&partial;y = 0

Ques 8 Engineering Mathematics

The value of lim_x→∞(x-√(x²+x)) is equal to

-1

-0.5

-2

Ques 9 Engineering Mathematics

Let y be the solution of the initial value problem y'+0.8y'+0.16y=0 where y(0)=3 and y'(0)=4.5. Then, y(1) is equal to ______ (rounded off to 1 decimal place).

Ques 10 Engineering Mathematics

The maximum value of the function h(x)=-x³+2x² in the interval [-1,1.5] is equal to ______ (rounded off to 1 decimal place).

Ques 11 Engineering Mathematics

Consider the differential equation given below. Using the Euler method with the step size (h) of 0.5, the value of y at x=1.0 is equal to ______ (rounded off to 1 decimal place).
dy/dx = y+2x-x²; y(0)=1 (0≤x<∞)

Ques 12 Environmental Engineering

Fecal Coliform (FC) concentration in river water was measured as 10780 cfu/100 ml. The FC concentration after the conventional water treatment, but before chlorination, was measured as 23 cfu/100 ml. The 'Log Kill' (inactivation) of FC due to the conventional water treatment is closest to

4.00

2.50

2.67

3.00

Ques 13 Environmental Engineering

A hydrocarbon (C_nH_m) is burnt in air (O₂+3.78N₂). The stoichiometric fuel to air mass ratio for this process is
Note: Atomic Weight: C(12), H(1)
Effective Molecular Weight: Air(28.8)
Ignore any conversion of N₂ in air to the oxides of nitrogen (NO_x)

0.0291(4n+m)/(12n+m)

34.42(12n+m)/(4n+m)

34.42(4n+m)/(12n+m)

0.0291(12n+m)/(4n+m)

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Civil Engineering GATE 2025 Set 1 Questions with Answer