Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2025 Questions with Answer

Ques 14 GATE 2025

limx→0(1-cos(2x))/x2 = ______ (answer in integer).


(2) is the correct answer.

Ques 15 GATE 2025

The equation of a closed curve in two-dimensional polar coordinates is given by r = (2/√π)(1-sin θ). The area enclosed by the curve is ______ (answer in integer).


(6) is the correct answer.

Ques 16 GATE 2025

Consider the ordinary differential equation: (1/2)dy/dx + y/x = 1. If y=2/3 at x=1, then the value of y at x=3 is ______ (rounded off to the nearest integer).


(2) is the correct answer.

Ques 17 GATE 2025

An approximate solution of the equation x3-17=0 is to be obtained using the Newton-Raphson method. If the initial guess is xo=2, the value at the end of the first iteration is x1= ______ (rounded off to two decimal places).


(2.58) is the correct answer.

Ques 18 GATE 2025

î and ĵ denote unit vectors in the x and y directions, respectively. The outward flux of the two-dimensional vector field &vec;v=x î+y ĵ over the unit circle centered at the origin is ______ (rounded off to two decimal places).


(6.28) is the correct answer.

Ques 19 GATE 2025

For any real symmetric matrix A, the transpose of A is

A

inverse of A

B

null matrix

C

-A

D

A


(d) is the correct answer.

Ques 20 GATE 2025

2x+3y+z=0
x+y=0
y+z=0
The given system of equations has

A

a unique solution.

B

infinitely many solutions.

C

no solution.

D

a finite number of solutions.


(a) is the correct answer.

Ques 21 GATE 2025

The eigenvalues of the matrix are

A

0,2

B

2,3

C

1,3

D

1,2


(c) is the correct answer.

Ques 22 GATE 2025

The partial differential equation &partial;2u/&partial;x2+4&partial;2u/(&partial;x&partial;y)+2&partial;2u/&partial;y2=0 is

A

elliptic

B

hyperbolic

C

parabolic

D

of mixed type


(b) is the correct answer.

Ques 23 GATE 2025

If the function f(x) is continuous at x=2, the value of A is

A

2

B

2.5

C

3

D

3.5


(c) is the correct answer.

Ques 24 GATE 2025

If i=√-1, (i+1)3/(i-1)=

A

2

B

-2

C

(i+1)

D

(i-1)


(b) is the correct answer.

Ques 25 GATE 2025

A general aviation airplane is initially in steady and level flight. The stability coefficient &partial;Cm/&partial;q (Cm is the airplane pitching moment coefficient and q is the pitch rate) is negative. The airplane is perturbed with a small nose-up constant pitch rate. Assume that the horizontal tail does not stall during the perturbation, and unsteady effects are neglected. When compared to steady and level flight condition, which of the following statements is/are true during the perturbed motion?

A

The angle of attack of the horizontal tail increases.

B

The contribution of the horizontal tail to the airplane's pitching moment about the center of gravity is more stabilizing.

C

The lift generated by the horizontal tail increases.

D

The contribution of the horizontal tail to the airplane's pitching moment about center of gravity is less stabilizing.


(b) is the correct answer.

Ques 26 GATE 2025

A general aviation airplane is gliding with a speed Vg at minimum glide angle. Which of the following statements is/are true?

A

Vg is equal to the speed corresponding to the maximum lift to drag ratio of the airplane.

B

Vg increases with decreasing wing loading when all other parameters remain constant.

C

Vg increases with decreasing altitude when all other parameters remain constant.

D

Vg increases with increasing altitude when all other parameters remain constant.


(a) is the correct answer.

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