Gate 2022 Civil Engineering Aptitude questions with solution-Afternoon

Below the 10 Questions of aptitude, which were asked in gate 2022 Civil Engineering paper in afternoon session of 12-02-2022.

Question 01.

The movie was funny and I ______ .

Previously Asked in : Gate CE-afternoon season 2022 ||

couldn’t help laughing

could helped laughed

couldn’t help laughed

could help laughing

Answer (Detailed Solution Below)

Option couldn’t help laughing is correct

Detailed Solution :

The movies was funny and I couldn’t help laughing

means Movie was so funny that the person couldn’t control his/her laugh.

Correct option is : couldn’t help laughing

Question 02.

For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?

Previously Asked in : Gate CE-afternoon season 2022 ||

a

c

b

d

Answer (Detailed Solution Below)

Option couldn’t help laughing is correct

Detailed Solution :

below the mirror image of it

Correct option is: d

Question 03.

In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated through sales in the shops in these malls is generally low
Which one of following is the CORRECT logical inference based on the information in the above passage?

Previously Asked in : Gate CE-afternoon season 2022 ||

Fewer people are visiting the malls and not spending enough

More people are visiting the malls and spending more

Fewer people are visiting the malls but spending more

More people are visiting the malls but not spending enough

Answer

Option More people visiting the malls but not spending enough is correct

This can be conferred from the low revenue generation through sales in the shops in these malls.

Question 04.

Both the numerator and denominator of \frac {3} {4} are increased by a positive integer, x , and those of \frac {15} {17} are decreased by same integer. This operation results in the same value for both the fractions.
What is the value of x ?

Previously Asked in : Gate CE-afternoon season 2022 ||

3

4

1

2

Answer (Detailed Solution Below)

Option 3 is correct

Detailed Solution :

From given statement, we can say

\Rightarrow \left(\dfrac {3+x} {4+x} \right) =\left ( \dfrac {15 - x} {17-x} \right)

Put x = 1, 2,3,4 \\ \textrm{Only} \; x = 3 is satisfying

Correct option is: 3

Question 05.

In a partnership business the monthly investment by three friends for the first six months is in the ratio 3 : 4 : 5 . After six months, they had to increase their monthly investments by 10\% , 15\% \, \textrm{and} \, 20\% respectively, of their initial monthly investment. the new investment ratio was kept constant for next six months.
What is the ratio of their shares in the total profit (in the same order) at the end of the year such that the share is proportional to their individual total investment over the year?

Previously Asked in : Gate CE-afternoon season 2022 ||

22 : 23 : 24

63 : 86 : 110

22 : 33 : 50

33 : 46 : 60

Answer (Detailed Solution Below)

Option 63 : 86 : 110 is correct

Detailed Solution :

Let capitals invested by three friends for 6months are

C_1\, = \,3x \, ; C_2\, = \,4x \, ; \, C_3 \, = \, 5x \\ P_1 : \, P_2 : \, P_3 \, = I_1 : I_2 : I_3

( notation : C- cost , P – profit and I-Investment )

\therefore P_1 : P_2 : P_3 = \\\ : \,\left (3x \times 6 \, 1.1 \times 3x \times 6 \right) \\\ : \, \left (4x \times 6 \, + \, 1.15 \times 4x \times 6\right) \\\ : \, \left (5x \times 6 \, + \, 1.2 \times 5x \times 6 \right)

= 6.3 \, : \, 8.6 \, : \, 11 \\\ = 63 : 86 : 110

Correct option is: 63 : 86 : 110

Learn more : Previous year Gate papers of Civil Engineering with detailed solution

Learn more : GATE 2022 All  branches Aptitude Questions with detailed Solution

Question 06.

Consider the following equations of straight lines :
Line L_1: \, 2x - 3y = 5
Line L_2 : \,3x + 2y = 8
Line L_3 : \, 4x-6y = 5

Line L_4 : \, 6x-9y = 6
which one of the following is the correct statement?

Previously Asked in : Gate CE-afternoon season 2022 ||

L4 is perpendicular to L2 and L4 is parallel to L3

L1 is parallel to L2 and L1 is perpendicular to L3

L2 is parallel to L4 and L2 is perpendicular to L1

L3 is perpendicular to L4 and L3 is parallel to L2

Answer (Detailed Solution Below)

Option L 4 is parallel to L 2 and L4 is parallel to L3 is correct

Detailed Solution :

Line L_1 : 2x-3y = 5\\ y = \dfrac {4x-5} {3}

\therefore \, \dfrac {dy} {dx} \, = \, \dfrac {2} {3}

Similarly for other lines

\textrm {Line} \, L_2 : 3x + 2y = 8 \\ \dfrac {dy} {dx} \, = \, \dfrac {-3} {2} \\ \textrm{Line} \, L_3 : 4x -6y = 5 \\ \dfrac {dy} {dx} \, = \, \dfrac{2} {3} \\ \textrm {Line} \, L_4 : 6x -9y = 6 \\ \dfrac {dy} {dx} \, = \, \dfrac{2} {3}

\therefore \quad \left (\dfrac{dy}{dx}\right)_{L_1} = \, \left (\dfrac{dy} {dx} \right)_{L_3} = \, \left (\dfrac {dy}{dx} \right)_{L_4} = \, \dfrac {2}{3}

and \left(\frac{dy}{dx} \right)_{L_2} \times \left(\frac{dy}{dx}\right)_{L_1} = \left(\frac{dy}{dx} \right)_{L_2} \times \left( \frac{dy} {dx} \right)_{L_3} = \left (\frac{dy} {dx} \right)_{L_2} \times \left (\frac{dy}{dx} \right)_{L_4} = -1

\therefore L1, L3, L4 are parallel to each other and perpendicular to L2 .

Correct option is: L 4 is parallel to L 2 and L4 is parallel to L3

Question 07.

x : y : z = \frac {1}{2} : \frac {1}{3} : \frac {1}{4}

what is the value of \dfrac {x + z -y} {y} \, ?

Previously Asked in : Gate CE-afternoon season 2022 ||

1.25

0.75

2.25

3.25

Answer (Detailed Solution Below)

Option 1.25 is correct

Detailed Solution :

let x = \dfrac{A}{2} \, ; \, y = \dfrac{A}{3} \, ; \, z = \dfrac{A}{4}

\therefore \textrm{value of}

\dfrac {x + z -y} {y} = \dfrac{\frac{A}{2} + \frac {A}{4} - \frac{A}{3}}{\frac{A}{3}}

\dfrac {5A}{12} \times \dfrac{3}{A} = \dfrac {5}{4}

which is equal to 1.25

Correct option is: 1.25

Question 08.

A survey of 450 students about their subjects of interest resulted in the following outcome.
  • 150 students are interested in Mathematics.
  • 200 students are interested in Physics.
  • 175 students are interested in Chemistry.
  • 50 students are interested in Mathematics and Physics.
  • 60 students are interested in Physics and Chemistry.
  • 40 students are interested in Mathematics and Chemistry.
  • 30 students are interested in Mathematics, Physics and Chemistry.
  • Remaining students are interested in Humanities.
Based on the above information, the number of students in Humanities is

Previously Asked in : Gate CE-afternoon season 2022 ||

45

10

30

40

Answer (Detailed Solution Below)

Option 45 is correct

Detailed Solution :

from above equation

total (T) = \, n(M \cup P \cup c) + x

450 = [(150+200 + 175)- (50+60+40) + 30] + x

x = 45

Correct option is: 45

Learn more : Gate syllabus for Civil Engineering

Question 09.

Given below are two statements and four conclusions drawn based on the statements.
  • Statement 1 : Some soaps are clean.
  • Statement 2 : All clean objects are wet.
  • Conclusion I : Some clean objects are soaps.
  • Conclusion II : No clean object is a soap.
  • Conclusion III : Some wet objects are soaps.
  • Conclusion IV : All wet objects are soaps.
Which one of the following options can be logically inferred?

Previously Asked in : Gate CE-afternoon season 2022 ||

Only conclusion I and conclusion III is correct

Either conclusion I or conclusion II is correct

Either conclusion III or conclusion IV is correct

Only conclusion I is correct

Answer (Detailed Solution Below)

Option Only conclusion I and conclusion III are correct is correct

Detailed Solution :

From above diagram, we can say

Conclusion I followed in both possibilities.

Conclusion II not followed.

Conclusion III followed in both possibilities.

Conclusion IV not followed

Correct option is: Only conclusion I and conclusion III are correct

Question 10.

An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point P facing east.
The ant first turns 72^{\circ} anticlockwise at P, and then does the following two steps in sequence exactly FIVE times before halting.
  • moves forward for 10cm
  • turns 144^{\circ} clockwise.
The pattern made by the trace left behind by the ant is

Previously Asked in : Gate CE-afternoon season 2022 ||

a

c

b

d

Answer (Detailed Solution Below)

Option b is correct

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