Aerospace Engineering GATE 2024 Questions with Answer

Ques 27 Fluid Mechanics


Air flowing at Mach number M=2 from left to right accelerates to M=3 across an expansion corner as shown in the figure. What is the value of θ (the angle between the Forward and Rearward Mach lines) in degrees?
The values of the Prandtl-Meyer functions are v(3) = 49.76° and v(2) = 26.38°.

A

23.38

B

19.47

C

53.38

D

76.14


Ques 28 Fluid Mechanics


Consider the following Fanno flow problem: Flow enters a constant area duct at a temperature of 273 K and a Mach number of 0.2 and eventually reaches sonic condition (Mach number = 1) due to friction. Assume γ = 1.4. The static temperature at the location where sonic condition is reached is _______ K (rounded off to 2 decimal places).

a is the correct answer.


Ques 29 General Aptitude


If → denotes increasing order of intensity, then the meaning of the words dry → arid → parched is analogous to diet → fast → ______.
Which one of the given options is appropriate to fill the blank?

A

starve

B

reject

C

feast

D

deny


Ques 30 General Aptitude


If two positive non-zero real variables x and y are such that (x+y) is proportional to x/y, then x+y:

A

depends only on x and not on y

B

depends only on y and not on x

C

depends on 𝑥y

D

is a constant


Ques 31 General Aptitude


Consider the following sample of numbers:
9, 18, 11, 14, 15, 17, 10, 69, 11, 13.
The median of the sample is

A

13.5

B

14

C

11

D

18.7


Ques 32 General Aptitude


The number of different coins that a person has are in the ratio 5:3:13. Of these, 25% are 1 rupee coins. The percentage of 50 paise coins is

A

21%

B

14 2/7 %

C

15%

D

30%


Ques 33 General Aptitude


For positive non-zero real variables p and q, if
log(p2+q2) = log p + log q + 2 log 3,
then the value of (p4 + q4) / (p2q2) is

A

79

B

81

C

9

D

83


Ques 34 General Aptitude


In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Steve was advised to ____(i)____ keep his head ____(ii) ______ before heading to bat; for, while he had a head _____(iii) ______ batting, he could only do so with a cool head _____(iv) ______ his shoulders.

A

(i) down, (ii) down, (iii) on, (iv) on

B

(i) on, (ii) down, (iii) for, (iv) on

C

(i) down, (ii) out, (iii) for, (iv) on

D

(i) on, (ii) out, (iii) on, (iv) on


Ques 35 General Aptitude


A rectangular paper sheet of dimensions 54 cm x 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken.
Then, the ratio of the volume of the cylindrical tube to the volume of the cube is

A

1/π

B

2/π

C

3/π

D

4/π


Ques 36 General Aptitude


The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.

The typical energy density (kcal/g) of these macronutrients is given in the table.
The total fat (all three types), in grams, this person consumes is

A

44.4

B

77.8

C

100

D

3600


Ques 37 General Aptitude


A rectangular paper of 20 cm x 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is

A

18

B

24

C

20

D

21


Ques 38 General Aptitude


The least number of squares to be added in the figure to make AB a line of symmetry is

A

6

B

4

C

5

D

7


Ques 39 Mathematics


The following system of linear equations
7x - 3y + z = 0,
3x - y + z = 0,
x - y - z = 0
has:

A

infinitely many solutions

B

a unique solution

C

no solution

D

three solutions


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