Civil Engineering Gate 2021 Set-2 Questions with Answer

Ques 1 GATE 2021 SET-2


(i) Arun and Aparna are here.
(ii) Arun and Aparna is here.
(iii) Arun's families is here.
(iv) Arun's family is here.
Which of the above sentences are grammatically CORRECT?

A

(i) and (ii)

B

(i) and (iv)

C

(ii) and (iv)

D

(iii) and (iv)


(b) is the correct answer.

Ques 2 GATE 2021 SET-2


The mirror image of the above text about the X-axis is

A

B

C

D


(b) is the correct answer.

Ques 3 GATE 2021 SET-2


Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is:

A

1/36

B

1/12

C

1/8

D

1/4


(d) is the correct answer.

Ques 4 GATE 2021 SET-2


If p ⊙ q = p - q, and p ⊕ q = p × q,
then (9 ⊙ (6 ⊕ 7)) ⊙ (7 ⊕ (6 ⊙ 5)) =

A

40

B

-26

C

-33

D

-40


(d) is the correct answer.

Ques 5 GATE 2021 SET-2


Four persons P, Q, R and S are to be seated in a row. R should not be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is:

A

6

B

9

C

18

D

24


(c) is the correct answer.

Ques 6 GATE 2021 SET-2


On a planar field, you travelled 3 units East from a point O. Next you travelled 4 units South to arrive at point P. Then you travelled from P in the North-East direction such that you arrive at a point that is 6 units East of point O. Next, you travelled in the North-West direction, so that you arrive at point Q that is 8 units North of point P.
The distance of point Q to point O, in the same units, should be

A

4

B

5

C

3

D

6


(c) is the correct answer.

Ques 7 GATE 2021 SET-2


The author said, ""Musicians rehearse before their concerts. Actors rehearse their roles before the opening of a new play. On the other hand, I find it strange that many public speakers think they can just walk on to the stage and start speaking. In my opinion, it is no less important for public speakers to rehearse their talks."" Based on the above passage, which one of the following is TRUE?

A

The author is of the opinion that rehearsing is important for musicians, actors and public speakers.

B

The author is of the opinion that rehearsing is less important for public speakers than for musicians and actors.

C

The author is of the opinion that rehearsing is more important only for musicians than public speakers.

D

The author is of the opinion that rehearsal is more important for actors than musicians.


(a) is the correct answer.

Ques 8 GATE 2021 SET-2


1. Some football players play cricket.
2. All cricket players play hockey.
Among the options given below, the statement that logically follows from the two statements 1 and 2 above, is:

A

No football player plays hockey.

B

Some football players play hockey.

C

All football players play hockey.

D

All hockey players play football.


(b) is the correct answer.

Ques 9 GATE 2021 SET-2


In the figure shown above, PQRS is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square and centers at S and Q. The probability that any point picked randomly within the square falls in the shaded area is

A

4 - π / 2

B

1 / 2

C

π / 2 - 1

D

π / 4


(c) is the correct answer.

Ques 10 GATE 2021 SET-2


In an equilateral triangle PQR, side PQ is divided into four equal parts, side QR is divided into six equal parts and side PR is divided into eight equal parts. The length of each subdivided part in cm is an integer. The minimum area of the triangle PQR possible, in cm2, is

A

18

B

24

C

48√3

D

144√3


(d) is the correct answer.

Ques 11 GATE 2021 SET-2


The value of lim(x→∞) (x ln(x)) / (1 + x2) is

A

0

B

1.0

C

0.5

D


(a) is the correct answer.

Ques 12 GATE 2021 SET-2


The rank of the matrix

is

A

1

B

2

C

3

D

4


(c) is the correct answer.

Ques 13 GATE 2021 SET-2


The unit normal vector to the surface X2 + Y2 + Z2 - 48 = 0 at the point (4, 4, 4) is

A

(1 / √2, 1 / √2, 1 / √2)

B

(1 / √3, 1 / √3, 1 / √3)

C

(2 / √2, 2 / √2, 2 / √2)

D

(1 / √5, 1 / √5, 1 / √5)


(b) is the correct answer.

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