Mechanical Gate Subject

Aptitude and Reasoning Engineering Mathematics Engineering Mechanics Manufacturing Thermodynamics Industrial Engineering Material Science Vibrations Machine Theory Heat Transfer Strength of Material

Aptitude Mechanical previous year questions with answer

1 2 3 4 5 6 7 8 9 10 11

Ques 31 Gate 2021 Set-2

Given below are two statements 1 and 2, and two conclusions I and IT.
Statement 1: All entrepreneurs are wealthy.
Statement 2: All wealthy are risk seekers.

Conclusion I: All risk seekers are wealthy.
Conclusion II: Only some entrepreneurs are risk seekers.
Based on the above statements and conclusions, which one of the following options is CORRECT?

Only conclusion I is correct

Only conclusion II is correct

Neither conclusion I nor II is correct

Both conclusions I and II are correct

Ques 32 Gate 2021 Set-2

A box contains 15 blue balls and 45 black balls. If 2 balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is

3 / 16

45 / 236

1 / 4

3 / 4

Ques 33 Gate 2021 Set-2

Consider a square sheet of side 1 unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded shape is again folded along its line of symmetry. The area of each face of the final folded shape, in square units, equal to

1 / 4

1 / 8

1 / 16

1 / 32

Ques 34 Gate 2021 Set-2

The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is

1 / 4

1 / 8

1 / 16

1 / 32

Ques 35 Gate 2021 Set-2

If the Laplace transform of a function f(t) is given by

s+3 / (s+1)(s+2)

then f(0) is

1 / 2

3 / 2

Ques 36 Gate 2021 Set-1

Consider the following sentences :
i ) After his surgery , Raja hardly could walk .
ii ) After his surgery , Raja could barely walk .
iii ) After his surgery , Raja barely could walk .
iv ) After his surgery , Raja could hardly walk .
Which of the above sentences are grammatically CORRECT ?

(i) and (ii)

(i) and (iii)

(iii) and (iv)

(ii) and (iv)

Ques 37 Gate 2021 Set-1

MS. X came out of a building through its front door to find her shadow due to the morning sun falling to her right side with the building to her back. Which direction is the building facing __________

North

East

West

South

Ques 38 Gate 2021 Set-1

“The increased consumption of leafy vegetables in the recent months is a clear indication that the people in the state have begun to lead a healthy lifestyle”. Which of the following can be logically inferred from the information presented in the above statement?

The people in the state did not consume leafy vegetables earlier.

Consumption of leafy vegetables may not be the only indicator of healthy lifestyle.

Leading a healthy lifestyle is related to a diet with leafy vegetables.

The people in the state have increased awareness of health hazards causing by consumption of junk foods.

Ques 39 Gate 2021 Set-1

Five persons P, Q, R, S and T are sitting in a row not necessarily in the same order. Q and R are separated by one person, and S should not be seated adjacent to Q.
The number of distinct seating arrangements possible is:

Ques 40 Gate 2021 Set-1

Oxpeckers and rhinos manifest a symbiotic relationship in the wild. The oxpeckers warn the rhinos about approaching poachers, thus possibly saving the lives of the rhinos. Oxpeckers also feed on the parasitic ticks found on rhinos.
In the symbiotic relationship described above, the primary benefits for oxpeckers and rhinos respectively are.

Oxpeckers get a food source, rhinos may be saved from the poachers.

Oxpeckers get a food source, rhinos have no benefit.

Oxpeckers save their habitat from poachers while the rhinos have no benefit.

Oxpeckers save the lives of poachers, rhinos save their own lives.