Civil Engineering Gate 2022 Set-2 Questions with Answer

Ques 1 GATE 2022 SET-2


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

Which one of the following combinations is correct?

A

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

B

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

C

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

D

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


(a) is the correct answer.

Ques 2 GATE 2022 SET-2


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 GATE 2022 SET-2


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:

A

0

B

2

C

3

D

1


(c) is the correct answer.

Ques 4 GATE 2022 SET-2


is equal to

A

1/(1+x)+ Constant

B

1/(1+x2)+ Constant

C

-1/(1-x)+ Constant

D

-1/(1-x2)+ Constant


(c) is the correct answer.

Ques 5 GATE 2022 SET-2


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

A

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

B

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

C

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

D

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


(a;b) is the correct answer.

Ques 6 GATE 2022 SET-2


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 GATE 2022 SET-2


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 GATE 2022 SET-2


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:

A

Only statements I, II and III are correct.

B

Only statements I, II and IV are correct.

C

Only statements I and IV are correct.

D

Only statements II and IV are correct.


(b) is the correct answer.

Ques 9 GATE 2022 SET-2


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

A

2ω rad/s and T/2 s

B

ω/2 rad/s and 2T s

C

4ω rad/s and T/4 s

D

ω rad/s and T s


(a) is the correct answer.

Ques 10 GATE 2022 SET-2


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

A

yyT is a symmetric matrix.

B

yTy is an eigenvalue of yyT.

C

yyT has a rank of 2022.

D

yy is invertible.


(a;b) is the correct answer.

Ques 11 GATE 2022 SET-2


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 GATE 2022 SET-2


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 GATE 2022 SET-2


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

A

0.25

B

4.75

C

2.50

D

0.48


(a) is the correct answer.

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