Gate 2022 Mechanical Engineering aptitude questions with Solution- afternoon session

Below the 10 Questions of aptitude, which were asked in gate 2022 Mechanical Engineering afternoon session held on 13-02-2022.

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Question 01.

Which one of the following is a representation (not to scale and in bold) of all values of x satisfying the inequality 2 - 5x \leq - \left ( \dfrac {6x - 5}{3}\right) on the real number line?

c
a
b
d

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

Detailed Explanation

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Inequality,

2 - 5x \leq \, \left ( \dfrac {6x -5}{3} \right )

\Rightarrow \, 6 - 15x \, \leq \, -6x + 5

6 - 5 \leq - 6x + 15x

9x \, \geq \, 1

x \, \geq \, \dfrac{1} {9}

So Correct option is: c

Question 02.

Writing too many things on the ____ while teaching could make students get ____.

board / bored
bored / board
board / board
bored / bored

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

Correct option is: board / bored

Question 03.

A block with a trapezoidal cross-section is placed over a block with rectangular cross section as shown above.
Which one of the following is the correct drawing of the view of the 3D object as viewed in the direction indicated by an arrow in the above figure?

b
a
c
d

Previously Asked in : Gate ME-forenoon season 2022 ||

Answer is: b

Detailed Explanation
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Question 04.

Fish belonging to species S in the deep sea have skins that are extremely black (ultra-black skin). This helps them not only to avoid predators but also sneakily attack their prey. However, having this extra layer of black pigment results in lower collagen on their skin, making their skin more fragile.
Which one of the following is the CORRECT logical inference based on the information in the above passage?

Having ultra-black skin has both advantages and disadvantages to species S
Having ultra-black skin is only advantageous to species S
Species S with lower collagen in their skin are at an advantage because it helps them avoid predators
Having ultra-black skin is only disadvantages to species S but advantageous only to their predators

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

Correct option is: Having ultra-black skin has both advantages and disadvantages to species S

Question 05.

For the past m days, the average daily production at a company was 100 units per day. If today’s production of 180 units changes the average to 110 units per day. what is the value of m ?

7
18
10
5

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

Detailed Explanation

Given :

Company daily production = 100 units

So, In m day = 100 \, \times\, m

Total production after today’s day i.e (m + 1) = 1 m \, \times \, (m + 1)

The average production after today’s production = 110

\therefore \dfrac{100m + 180} {m +1} \, = \, 110

\Rightarrow \, 100m + 180 = 110m + 110

\Rightarrow \, m = \, \dfrac{70}{10} = 7

Correct option is: 7

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 functions for non – zero positive integers, p and q.
f(p , q) = \underbrace {p \times p \times p \times ......... \times p}_ \textbf{q terms} = p^q ; \, f(p, 1) = p

g(p, q ) = p ^{p^{p^{p^{.^{.^{\textbf {upto q terms}}}}}}} \, g(p, 1) = p

Which of the following options is correct based on the above?

f(2, 2) \, = \, g(2, 2)
f(g(2, 2), 2) \, < \, f(2, g(2, 2))
g(2,1) \, \neq \, f(2, 1)
f(3, 2) \, >\, g(3, 2)

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

Answer is: f(2, 2) \, = \, g(2, 2)

Detailed Explanation
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Question 07.

Four cities P, Q, R and S are connected through one-way routes as shown in the figure. The travel time between any two connected cities is one hour. The boxes beside each city name describe the starting time of first train of the day and their frequency of operation. For example, from city P, the first trains of the day start at 8 AM with a frequency of 90 minutes to each of R and S. A person does not spend additional time at any city other than the waiting time for the next connecting train.

If the person starts from R at 7 AM and is required to visit S and return to R, what is the minimum time required?

6 hours 30 minutes
3 hours 45 minutes
4 hours 30 minutes
5 hours 15 minutes

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

Answer is: 6 hours 30 minutes

Detailed Explanation
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Question 08.

Equal sized circular regions are shaded in a square sheet of paper of 1cm side length. Two cases, cases M and case N , are considered as shown in the figures below. In the case M, four circles are shaded in the square sheet and in the case N, nine circles are shaded in the square sheet as shown.
What is the ratio of the area of unshaded regions of case M to that of case N?

1 : 1
2 : 3
3 : 2
2 : 1

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

Answer is: 1 : 1

Detailed Explanation
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Learn more : Gate syllabus for Civil Engineering

Question 09.

If f(x) \, = \, 2\ln \left( \sqrt{e^x} \right) . What is the area bounded by f(x) for the interval [0, 2] on the x \, \text{axis} \, ?

2
\dfrac{1}{2}
1
4

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

Answer is: 2

Detailed Explanation
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Question 10.

A person was born on the fifth Monday of February in a particular year. Which one of the following statements is correct based on the above information?

The 2^{\text{nd}} February of that year is a Tuesday
There will be five Sundays in the month of February in that year
The 1^ {\text{st}} February of that year is a Sunday
All Mondays of February in that year have even dates

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

Answer is: The 2^{\text{nd}} February of that year is a Tuesday

Detailed Explanation
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