Aerospace Engineering Gate 2024 Questions with Answer

Ques 27 GATE 2024

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°.

Ques 28 GATE 2024

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).

Ques 29 GATE 2024

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?

Ques 30 GATE 2024

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

Ques 31 GATE 2024

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

Ques 32 GATE 2024

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

Ques 33 GATE 2024

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

Ques 34 GATE 2024

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.

Ques 35 GATE 2024

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

Ques 36 GATE 2024

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

Ques 37 GATE 2024

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

Ques 38 GATE 2024

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

Ques 39 GATE 2024

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