Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2022 Questions with Answer

Ques 27 GATE 2022

In a converging duct, area and velocity at section P are 1 m2 and 15 m/s, respectively. The temperature of the fluid is 300 K. Airflow through the nozzle can be assumed to be inviscid and isothermal. The characteristic gas constant is 287 J/(kg-K) and the ratio of specific heats is 1.4 for air. To ensure that the airflow remains incompressible (Mach number, M ≤ 0.3) in the duct, the minimum area required at section Q is _______ m2. (rounded off to two decimal places)


(0.14 to 0.15) is the correct answer.

Ques 28 GATE 2022

A convergent-divergent nozzle with adiabatic walls is designed for an exit Mach number of 2.3. It is discharging air to the atmosphere under the conditions indicated in the figure.
Flow through the nozzle is inviscid, the characteristic gas constant for air is 287 J/(kg-K), and γ = 1.4. When the reservoir pressure is 25 bar (absolute), and temperature is 300 K, Prandtl-Meyer expansion waves appear at the nozzle exit as shown.
The minimum percentage change in the reservoir pressure required to eliminate the wave system at the nozzle exit under steady-state is _______ %.


(49 to 51 or -51 to -49) is the correct answer.

Ques 29 GATE 2022

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

A

bored / board

B

board / bored

C

board / board

D

bored / bored


(b) is the correct answer.

Ques 30 GATE 2022

Which one of the following is a representation (not to scale and in bold) of all values of x satisfying the inequality 2 - 5x ≤ -(6x - 5)/3 on the real number line? *[Insert Figures Here]*

A

B

C

D


(c) is the correct answer.

Ques 31 GATE 2022

If f(x) = 2 ln(√ex), what is the area bounded by f(x) for the interval on the x-axis?

A

1/2

B

1

C

2

D

4


(c) is the correct answer.

Ques 32 GATE 2022

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?

A

The 2nd February of that year is a Tuesday

B

There will be five Sundays in the month of February in that year

C

The 1st February of that year is a Sunday

D

All Mondays of February in that year have even dates


(a) is the correct answer.

Ques 33 GATE 2022

Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once without overlapping with each other? (rotation and translation operations may be used).

A

B

C

D


(b) is the correct answer.

Ques 34 GATE 2022

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?

A

Having ultra-black skin is only advantageous to species S

B

Species S with lower collagen in their skin are at an advantage because it helps them avoid predators

C

Having ultra-black skin has both advantages and disadvantages to species S

D

Having ultra-black skin is only disadvantageous to species S but advantageous only to their predators


(c) is the correct answer.

Ques 35 GATE 2022

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?

A

18

B

10

C

7

D

5


(c) is the correct answer.

Ques 36 GATE 2022

Consider the following functions for non-zero positive integers, p and q.

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

A

f(2, 2) = g(2, 2)

B

f(g(2, 2), 2) < f(2, g(2, 2))

C

g(2, 1) ≠ f(2, 1)

D

f(3, 2) > g(3, 2)


(a) is the correct answer.

Ques 37 GATE 2022

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 the 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?

A

6 hours 30 minutes

B

3 hours 45 minutes

C

4 hours 30 minutes

D

5 hours 15 minutes


(a) is the correct answer.

Ques 38 GATE 2022

Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case 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 areas of unshaded regions of case M to that of case N?

A

2:3

B

1:1

C

3:2

D

2:1


(b) is the correct answer.

Ques 39 GATE 2022

The equation of the straight line representing the tangent to the curve y = x2 at the point (1, 1) is

A

y = 2x - 2

B

x = 2y - 1

C

y - 1 = 2(x - 1)

D

x - 1 = 2(y - 1)


(c) is the correct answer.

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