Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2015 Questions with Answer

Ques 40 GATE 2015

For a parabola defined by y=ax2+bx+c. a≠0, the coordinates (x, y) of the extremum are

A

(-b/2a+√(b2-4ac)/2a,0)

B

(-b/2a,-b2+4ac/2a)

C

(-b/2a,-b2+4ac/4a)

D

(0, c)


(c) is the correct answer.

Ques 41 GATE 2015

If all the eigenvalues of a matrix are real and equal, then

A

the matrix is diagonalizable

B

its eigenvectors are not necessarily linearly independent

C

its eigenvectors are linearly independent

D

its determinant is necessarily zero


(b) is the correct answer.

Ques 42 GATE 2015

The value of the integral ∫12(4x3+3x2+2x+1)dx evaluated numerically using Simpson's rule with one step is

A

26.5

B

26

C

25.5

D

25.3


(b) is the correct answer.

Ques 43 GATE 2015

Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence:
Apparent lifelessness _______ dormant life.

A

harbours

B

leads to

C

supports

D

affects


(a) is the correct answer.

Ques 44 GATE 2015

Fill in the blank with the correct idiom/phrase.
That boy from the town was a _______ in the sleepy village.

A

dog out of herd

B

sheep from the heap

C

fish out of water

D

bird from the flock


(c) is the correct answer.

Ques 45 GATE 2015

Choose the statement where underlined word is used correctly.

A

When the teacher eludes to different authors, he is being elusive.

B

When the thief keeps eluding the police, he is being elusive.

C

Matters that are difficult to understand, identify or remember are allusive.

D

Mirages can be allusive, but a better way to express them is illusory.


(b) is the correct answer.

Ques 46 GATE 2015

Select the appropriate option in place of underlined part of the sentence.
Increased productivity necessary reflects greater efforts made by the employees.

A

Increase in productivity necessary

B

Increase productivity is necessary

C

Increase in productivity necessarily

D

No improvement required


(c) is the correct answer.

Ques 47 GATE 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


(a) is the correct answer.

Ques 48 GATE 2015

Which one of the following modes of a stable aircraft has non-oscillatory response characteristics?

A

Short period

B

Phugoid

C

Dutch roll

D

Spiral


(d) is the correct answer.

Ques 49 GATE 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


(b) is the correct answer.

Ques 50 GATE 2015

The following data is for a single degree of freedom system with viscous damping:

mass, m=10 kg; spring stiffness, k=2.25 N/mm; damping coefficient, c=0.0125 N s/mm

The ratio of any two successive amplitudes is


(1.27 to 1.32) is the correct answer.

Ques 51 GATE 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


(a) is the correct answer.

Ques 52 GATE 2015

An aircraft is flying with inertial ground and wind speeds of v→gb=(100,5,5)m/s and v→wb=(0,-5,-10)m/s, respectively, as expressed in the body frame. The corresponding sideslip angle (in degrees) is

A

0

B

5.65

C

8.49

D

9.54


(d) is the correct answer.

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