GATE AE format:mcq PYQs & Answers — Page 27

Questions 261–270 of 326. Imported answers require independent review unless marked reviewed.

An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials: (1) HTHTT (2) TTHHT (3) THTHT (4) HHT___ __.

Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?

Your answerChoose one option.

Two T will occur.

One H and one T will occur.

Two H will occur.

One H will be followed by one T.

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Let

be two distinct vectors that are not parallel. The vector

Your answerChoose one option.

zero.

orthogonal to

alone.

orthogonal to

alone.

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Consider the function

. All the roots of this function

Your answerChoose one option.

form a finite set of points.

lie on an elliptical curve.

lie on the surface of a sphere.

lie on a hyperbolic curve.

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Consider a vector field given by

. This vector field is

Your answerChoose one option.

divergence-free and curl-free.

curl-free but not divergence-free.

divergence-free but not curl-free.

neither divergence-free nor curl-free.

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A jet aircraft is initially flying steady and level at its maximum endurance condition. For the aircraft to fly steady and level, but faster at the same altitude, the pilot should

Your answerChoose one option.

increase thrust alone.

increase thrust and increase angle of attack.

increase thrust and reduce angle of attack.

reduce angle of attack alone.

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The pilot of a conventional airplane that is flying steady and level at some altitude, deflects the port side aileron up and the starboard aileron down. The aircraft will then

Your answerChoose one option.

pitch, nose up.

roll with the starboard wing up.

pitch, nose down.

roll with the port wing up.

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A NACA 0012 airfoil has a trailing edge flap. The airfoil is operating at an angle of attack of 5 degrees with un-deflected flap. If the flap is now deflected by 5 degrees downwards, the

versus

curve

Your answerChoose one option.

shifts right and slope increases.

shifts left and slope increases.

shifts left and slope stays the same.

shifts right and slope stays the same.

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An airplane requires a longer ground roll to lift-off on hot summer days because

Your answerChoose one option.

the thrust is directly proportional to free-stream density.

the thrust is directly proportional to weight of the aircraft.

the lift-off distance is directly proportional to free-stream density.

the runway friction is high on hot summer days.

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The velocity profile in an incompressible, laminar boundary layer is shown in the figure below. U is the free-stream velocity, u(y) is the stream-wise velocity component. The area of the black shaded region in the figure below represents the

Diagram for Aerospace Engineering question 8

Your answerChoose one option.

boundary layer thickness.

momentum thickness.

displacement thickness.

shape factor.

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The tangential velocity component ‘V’ of a spacecraft, which is in a circular orbit of radius ‘R’ around a spherical Earth (

gravitational parameter of Earth) is given by the following expression.

Your answerChoose one option.

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