Aerospace Engineering Gate 2015 Questions with Answer

Ques 53 GATE 2015


An aircraft in level and unaccelerated flight with a velocity of v=300 m/s requires a power of 9×106 W. If the aircraft weighs 1.5×105N the lift-to-drag ratio L/D is _______


(4.9 to 5.1) is the correct answer.

Ques 54 GATE 2015


The percentage change in the lift-off distance for a 20% increase in aircraft weight is


(43.9 to 44.1) is the correct answer.

Ques 55 GATE 2015


An aircraft, with a wing loading is gliding at w/s=500 N/m2 and (L/D)max=10 and CL=0.69 Considering the free stream density ρ=0.9 kg/m3, the equilibrium glide speed (in m/s) is


(39.5 to 40.5) is the correct answer.

Ques 56 GATE 2015


The Pitot tube of an aircraft registers a pressure p0=54051 N/m2 The static pressure, density and the ratio of specific heats of the freestream are p=45565 N/m2, ρ=0.6417 kg/m3 and γ=1.4 respectively. The indicated airspeed (in m/s) is

A

157.6

B

162.6

C

172.0

D

182.3


(a) is the correct answer.

Ques 57 GATE 2015


For a level flight at cruise altitude, CD=0.018 with drag coefficient at zero lift, CD,0=0.015 For a 30° climb at the same altitude and speed, CD=_______×10-3


(17.2 to 17.3) is the correct answer.

Ques 58 GATE 2015


Tanya is older than Eric.
Cliff is older than Tanya.
Eric is older than Cliff.
If the first two statements are true, then the third statement is:

A

True

B

False

C

Uncertain

D

Data insufficient


(b) is the correct answer.

Ques 59 GATE 2015


Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows.
Statements:
I. No manager is a leader.
II. All leaders are executives.
Conclusions:
I. No manager is an executive.
II. No executive is a manager.

A

Only conclusion I follows.

B

Only conclusion II follows.

C

Neither conclusion I nor II follows.

D

Both conclusions I and II follow.


(c) is the correct answer.

Ques 60 GATE 2015


Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to complete the league round of matches?

A

20

B

10

C

8

D

5


(b) is the correct answer.

Ques 61 GATE 2015


In the given figure angle Q is a right angle, PS:QS=3:1, RT:QT=5:2 and PU:UR=1:1. If area of triangle QTS is 20 cm2. then the area of triangle PQR in cm2 is


(280) is the correct answer.

Ques 62 GATE 2015


Right triangle PQR is to be constructed in the xy - plane so that the right angle is at P and line PR is parallel to the x-axis. The x and y coordinates of P, Q, and R are to be integers that satisfy the inequalities: -4≤x≤5 and 6≤y≤16 How many different triangles could be constructed with these properties?

A

110

B

1,100

C

9,900

D

10,000


(c) is the correct answer.

Ques 63 GATE 2015


A coin is tossed thrice. Let X be the event that head occurs in each of the first two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?

A

X and Y are not independent

B

Y and Z are dependent

C

Y and Z are independent

D

X and Z are independent


(b) is the correct answer.

Ques 64 GATE 2015


A satellite is to be transferred from its geostationary orbit to a circular polar orbit of the same radius through a single impulse out-of-plane maneuver. The magnitude of the change in velocity required is _______ times the magnitude of the escape velocity.


(0.99 to 101) is the correct answer.

Ques 65 GATE 2015


A planetary probe is launched at a speed of 200 km/s and at a distance of 71,400 km from the mass center of its nearest planet of mass 1.9×1028kg The universal gravitational constant, G=6.67×10-11m3/(kg s2).
The ensuing path of the probe would be

A

elliptic

B

hyperbolic

C

parabolic

D

circular


(b) is the correct answer.

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