Aeronautical Engineering - (AE) 2018 GATE Paper (Practice Test) - GATE MCQ

The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?  

The value of the expression  is _________.  

Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films?  

A wire would enclose an area of 1936 m2, if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters?  

 A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?  

A house has a number which needs to be identified. The following three statements are given that can help in identifying the house number.
i. If the house number is a multiple of 3, then it is a number from 50 to 59.
ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69.
iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79. 
 
Q. What is the house number? 

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) HTHTHT
(2) TTHHHT
(3) HTTHHT
​(4) HHHT__ __. 
 
Q. Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct? 

  Let  be two distinct vectors that are not parallel. The vector  is 

 Consider the function  All the roots of this function 

Consider a vector field given by . This vector field is

  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

 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    

 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

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

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                                    

The tangential velocity component ‘V’ of a spacecraft, which is in a circular orbit of radius ‘R’ around a spherical Earth (µ = GM → gravitational parameter of Earth) is given by the following expression.

 Equation of the trajectory of a typical space object around any planet, in polar coordinates (r, θ ) (i.e. a general conic section geometry), is given as follows. (h is angular momentum, µ is gravitational parameter, e is eccentricity, r is radial distance from the planet center, θ , is angle between vectors

In an elliptic orbit around any planet, the location at which a spacecraft has the maximum angular velocity is

 The pitching moment of a positively cambered NACA airfoil about its leading edge at zerolift angle of attack is

In a low-speed wind tunnel, the angular location(s) from the front stagnation point on a circular cylinder where the static pressure equals the free-stream static pressure, is

  A thermocouple, mounted flush in an insulated flat surface in a supersonic laminar flow of air measures the

A shock wave is moving into still air in a shock tube. Which one of the following happens to the air?

 The highest limit load factor experienced by a civil transport aircraft is in the range

 Determine the correctness or otherwise of the following statements, [a] and [r]: 
[a] A closed-section box beam configuration is used in aircraft wings. 
[r] Closed-section box beam configuration is capable of resisting torsional loads.

 The first law of thermodynamics is also known as conservation of

In an ideal gas turbine cycle, the expansion in a turbine is represented by  

The determinant of the matrix is ______ (accurate to one decimal place).