Civil Engineering GATE 2022 Set-2 Questions with Answer

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Ques 1 Civil Engineering Materials

Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties):

Which one of the following combinations is correct?

(i) - (P), (ii) - (Q) and (T), (iii) - (R) and (S)

(i) - (Q) and (T), (ii) - (P) and (S), (iii) - (R)

(i) - (P), (ii) - (Q) and (R), (iii) - (T)

(i) - (T), (ii) - (S), (iii) - (P) and (Q)

Ques 2 Civil Engineering Materials

It is given that an aggregate mix has 260 grams of coarse aggregates and 240 grams of fine aggregates. The specific gravities of the coarse and fine aggregates are 2.6 and 2.4, respectively. The bulk specific gravity of the mix is 2.3.
The percentage air voids in the mix is ____________. (round off to the nearest integer)

8 is the correct answer.

Ques 3 Engineering Mathematics

The function f(x,y) satisfies the Laplace equation
∇²f(x,y)=0
on a circular domain of radius r=1 with its center at point P with coordinates x=0, y=0. The value of this function on the circular boundary of this domain is equal to 3.
The numerical value of f(0,0) is:

Ques 4 Engineering Mathematics

is equal to

1/(1+x)+ Constant

1/(1+x²)+ Constant

-1/(1-x)+ Constant

-1/(1-x²)+ Constant

Ques 5 Engineering Mathematics

P and Q are two square matrices of the same order. Which of the following statement(s) is/are correct?

If P and Q are invertible, then [PQ]^-1=Q^-1P^-1

If P and Q are invertible, then [QP]^-1=P^-1Q^-1

[PQ]^-1=P^-1Q^-1.
If P and Q are invertible, then

If P and Q are not invertible, then [PQ]^-1=Q^-1P^-1.

Ques 6 Engineering Mathematics

The error in measuring the radius of a 5 cm circular rod was 0.2%. If the cross-sectional area of the rod was calculated using this measurement, then the resulting absolute percentage error in the computed area is ________ (round off to two decimal places).

0.40 is the correct answer.

Ques 7 Engineering Mathematics

The components of pure shear strain in a sheared material are given in the matrix form:

Here, Trace(ε)=0. Given, P=Trace(ε⁸) and Q=Trace(ε¹¹).
The numerical value of (P+Q) is ________ (in integer).

32 is the correct answer.

Ques 8 Engineering Mathematics

Consider the polynomial f(x)=x³-6x²+11x-6 on the domain S given by 1 ≤ x ≤ 3. The first and second derivatives are f'(x) and f''(x).
Consider the following statements:
I. The given polynomial is zero at the boundary points x=1 and x=3.
II. There exists one local maxima of f(x) within the domain S.
III. The second derivative f''(x)>0 throughout the domain S.
IV. There exists one local minima of f(x) within the domain S.
The correct option is:

Only statements I, II and III are correct.

Only statements I, II and IV are correct.

Only statements I and IV are correct.

Only statements II and IV are correct.

Ques 9 Engineering Mathematics

An undamped spring-mass system with mass m and spring stiffness k is shown in the figure. The natural frequency and natural period of this system are ω rad/s and T s, respectively. If the stiffness of the spring is doubled and the mass is halved, then the natural frequency and the natural period of the modified system, respectively, are

2ω rad/s and T/2 s

ω/2 rad/s and 2T s

4ω rad/s and T/4 s

ω rad/s and T s

Ques 10 Engineering Mathematics

Let y be a non-zero vector of size 2022×1 Which of the following statement(s) is/are TRUE?

yy^T is a symmetric matrix.

y^Ty is an eigenvalue of yy^T.

yy^T has a rank of 2022.

yy is invertible.

Ques 11 Engineering Mathematics

A pair of six-faced dice is rolled thrice. The probability that the sum of the outcomes in each roll equals 4 in exactly two of the three attempts is ___________. (round off to three decimal places)

0.019 is the correct answer.

Ques 12 Engineering Mechanics

A uniform rod K.J of weight w shown in the figure rests against a frictionless vertical wall at the point K and a rough horizontal surface at point J. It is given that w=10 kN, a=4 m and b=3 m.

The minimum coefficient of static friction that is required at the point J to hold the rod in equilibrium is (round off to three decimal places)

0.750 is the correct answer.

Ques 13 Environmental Engineering

A process equipment emits 5 kg/h of volatile organic compounds (VOCs). If a hood placed over the process equipment captures 95% of the VOCs, then the fugitive emission in kg/h is

0.25

4.75

2.50

0.48

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Civil Engineering GATE 2022 Set-2 Questions with Answer