Stages - General Aptitude - General Aptitude (GA) Previous Year Questions

1

2007 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2007

If \( f(\theta) = \begin{bmatrix} \cos\theta & \sin\theta \\ -\sin\theta & \cos\theta \end{bmatrix} \), then \( f(\alpha) f(\beta) = \)

A

\(f(\alpha/\beta) \)

B

\(f(\alpha+\beta) \)

C

\(f(\alpha-\beta) \)

D

\(2 \times 2 \) zero matrix

Open complete paper

2

2007 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2007

The minimum value of \( J(x) = x^2 - 7x + 30 \) occurs at

A

\(x = 7/2 \)

B

\(x = 7/30 \)

C

\(x = 30/7 \)

D

\(x = 30 \)

Open complete paper

3

2008 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2008

The total number of stages required are

A

9

B

10

C

11

D

12

Open complete paper

4

2011 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2011

Which of the following functions is periodic?

A

\(f(x) = x^2\)

B

\(f(x) = \log x\)

C

\(f(x) = e^x\)

D

\(f(x) = \text{const.}\)

Open complete paper

5

2015 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2015

A linear mass-spring-dashpot system is over-damped. In free vibration, this system undergoes

A

non-oscillatory motion

B

random motion

C

oscillatory and periodic motion

D

oscillatory and non-periodic motion

Open complete paper

6

2015 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2015

The two non-zero principal stresses at a point in a thin plate are \(\sigma_1 = 25 MPa\) and \(\sigma_2 = -25 MPa\). The maximum shear stress (in MPa) at this point is ______.

Check answer

Open complete paper

7

2015 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2015

Consider the density and altitude at the base of an isothermal layer in the standard atmosphere to be \(\rho_1\) and \(h_1\), respectively. The density variation with altitude (\(\rho\) versus \(h\)) in that layer is governed by (\(R\): specific gas constant, \(T\): temperature, \(g_0\): acceleration due to gravity at sea level)

A

\(\frac{\rho}{\rho_1} = e^{-[\frac{g_0}{RT}](h-h_1)}\)

B

\(\frac{\rho}{\rho_1} = e^{-[\frac{RT}{g_0}](h_1-h)}\)

C

\(\frac{\rho}{\rho_1} = e^{-[\frac{RT}{g_0}](h-h_1)}\)

D

\(\frac{\rho}{\rho_1} = e^{-[\frac{RT}{g_0}](h_1-h)}\)

Open complete paper

8

2015 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2015

A 0.5 kg mass is suspended vertically from a point fixed on the Earth by a spring having a stiffness of 5 N/mm. The static displacement (in mm) of the mass is ______.

Check answer

Open complete paper

9

2015 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2015

A slender structure is subjected to four different loading cases (I, II, III and IV) as shown below (Figures not to scale). Which pair of cases results in identical stress distribution at section S – S located far away from both ends?

A

I and II

B

II and III

C

III and IV

D

IV and I

Open complete paper

10

2015 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2015

A statically stable trimmed aircraft experiences a gust and the angle of attack reduces momentarily. As a result, the center of pressure of the aircraft

A

shifts forward

B

shifts rearward

C

does not shift

D

coincides with the neutral point

Open complete paper

11

2015 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2015

The Reynolds number, \( Re \) is defined as \( \frac{U_\infty L}{\nu} \) where \( L \) is the length scale for a flow, \( U_\infty \) is its reference velocity and \( \nu \) is the coefficient of kinematic viscosity. In the laminar boundary layer approximation, comparison of the dimensions of the convection term \( u \frac{\partial u}{\partial x} \) and the viscous term \( \nu \frac{\partial^2 u}{\partial x^2} \) leads to the following relation between the boundary layer thickness \( \delta \) and \( Re \):

A

\(\delta \propto \sqrt{Re} \)

B

\(\delta \propto 1/\sqrt{Re} \)

C

\(\delta \propto Re \)

D

\(\delta \propto 1/Re \)

Open complete paper

12

2015 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2015

Isentropic efficiencies of an aircraft engine operating at typical subsonic cruise conditions with the following components - intake, compressor, turbine and nozzle - are denoted by \( \eta_i \), \( \eta_c \), \( \eta_t \) and \( \eta_n \), respectively. Which one of the following is correct?

A

\(\eta_i < \eta_c < \eta_t < \eta_n \)

B

\(\eta_t < \eta_i < \eta_c < \eta_n \)

C

\(\eta_c < \eta_t < \eta_i < \eta_n \)

D

\(\eta_c < \eta_i < \eta_t < \eta_n \)

Open complete paper

13

2015 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2015

A rocket nozzle is designed to produce maximum thrust at an altitude, \( H = 8 \ km \) from the sea level. The nozzle operates in

A

under-expanded condition for \(H > 8 \ km \)

B

under-expanded condition for \(H < 8 \ km \)

C

sonic exit condition for \(H > 8 \ km \)

D

unchoked condition for \(H < 8 \ km \)

Open complete paper

14

2015 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2015

For a parabola defined by \( y = ax^2 + bx + c \), \( a \neq 0 \), the coordinates \( (x, y) \) of the extremum are

A

\(\left( \frac{-b}{2a}, \frac{\sqrt{b^2 - 4ac}}{2a}, 0 \right) \)

B

\(\left( \frac{-b}{2a}, \frac{-b^2 + 4ac}{2a} \right) \)

C

\(\left( \frac{-b}{2a}, \frac{-b^2 + 4ac}{4a} \right) \)

D

\((0, c) \)

Open complete paper

15

2015 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2015

Determine the correctness or otherwise of the following assertion [a] and reason [r]:
Assertion [a]: Aircraft directional static stability can be improved by moving the vertical tail rearward.
Reason [r]: Moving the vertical tail rearward increases the moment arm from the tail aerodynamic center to the aircraft center of gravity.

A

Both [a] and [r] are true and [r] is the correct reason for [a]

B

Both [a] and [r] are true but [r] is not the correct reason for [a]

C

Both [a] and [r] are false

D

[a] is true and [r] is false

Open complete paper

16

2015 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2015

Consider a 2-D blunt body in an incompressible fluid stream. The flow is irrotational and can be modeled as a linear combination of a uniform flow and a line source (Rankine half body) as shown below. Let \(s\) be the distance of the line source from the front stagnation point. Let \(d\) be the upstream distance from the stagnation point to the streamwise location (labeled below as P) where the oncoming stream reaches 90% of its undisturbed velocity. Then \(d/s =\) ______

Check answer

Open complete paper

17

2023 · General Aptitude (GA) · General Aptitude · Stages

Aerospace Engineering (AE) 2023

In 2022, June Huh was awarded the Fields medal, which is the highest prize in Mathematics.

When he was younger, he was also a poet. He did not win any medals in the International Mathematics Olympiads. He dropped out of college.

Based only on the above information, which one of the following statements can be logically inferred with certainty?

A

Every Fields medalist has won a medal in an International Mathematics Olympiad.

B

Everyone who has dropped out of college has won the Fields medal.

C

All Fields medalists are part-time poets.

D

Some Fields medalists have dropped out of college.

Open complete paper