Explore topic-wise MCQs in Graduate Aptitude Test (GATE).

This section includes 102 Mcqs, each offering curated multiple-choice questions to sharpen your Graduate Aptitude Test (GATE) knowledge and support exam preparation. Choose a topic below to get started.

51.

If A and B are both non-singular nxn matrices, then which of the following statement is NOT TRUE. Note: det represents the determinant of a matrix

A. det(AB) = det(A)det(B)
B. det(A+B) = det(A) + det(B
C. det(AA-1 ) = 1
D. det(A T ) = det(A)
Answer» C. det(AA-1 ) = 1
Discussion
52.

Air, with a Prandtl number of 0.7, flows over a flat plate at a high Reynolds number. Which of the following statement is TRUE?

A. Thermal boundary layer is thicker than the velocity boundary layer
B. Thermal boundary layer is thinner than the velocity boundary layer.
C. Thermal boundary layer is as thick as the velocity boundary layer
D. There is no relationship between the thicknesses of thermal and velocity boundary layers.
Answer» B. Thermal boundary layer is thinner than the velocity boundary layer.
Discussion
53.

Which of the following aircraft engines has the highest propulsive efficiency at a cruising Mach number of less than 0.5?

A. Turbofan engine
B. Turbojet engine
C. Turboprop engine
D. Ramjet engine
Answer» D. Ramjet engine
Discussion
54.

For a completely subsonic isentropic flow through a convergent nozzle, which of the following statement is TRUE?

A. Pressure at the nozzle exit > back pressure.
B. Pressure at the nozzle exit < back pressure.
C. Pressure at the nozzle exit = back pressure
D. Pressure at the nozzle exit = total pressure.
Answer» D. Pressure at the nozzle exit = total pressure.
Discussion
55.

Which of the following statement is NOT TRUE across an oblique shock wave?

A. Static temperature increases, total temperature remains constant.
B. Static pressure increases, static temperature increases.
C. Static temperature increases, total pressure decreases
D. Static pressure increases, total temperature decreases.
Answer» E.
Discussion
56.

With increase in airfoil thickness, the critical Mach number for an airfoil is likely to

A. decrease.
B. increase
C. remain unchanged.
D. be undefined.
Answer» B. increase
Discussion
57.

Shaquille O’ Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free throws out of 100 attempts on average. What is the probability that he will successfully make exactly 6 free throws in 10 attempts?

A. 0.2508
B. 0.2816
C. 0.2934
D. 0.6000
Answer» B. 0.2816
Discussion
58.

Sourya committee had proposed the establishment of Sourya Institutes of Technology (SITs) in line with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a developing country. Which of the following can be logically inferred from the above sentence? Based on the proposal, (i) In the initial years, SIT students will get degrees from IIT. (ii) SITs will have a distinct national objective. (iii) SIT like institutions can only be established in consultation with IIT. (iv) SITs will serve technological needs of a developing country.

A. (iii) and (iv) only.
B. (i) and (iv) only.
C. (ii) and (iv) only.
D. (ii) and (iii) only.
Answer» D. (ii) and (iii) only.
Discussion
59.

If |9y−6| =3, then y2 −4y/3 is .

A. 0
B. +1/3
C. -1/3
D. undefined
Answer» D. undefined
Discussion
60.

R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes. Which of the following can be logically inferred from the above statements?

A. R2D2 is a robot which can only repair aeroplanes
B. R2D2 is the only robot which can repair aeroplanes.
C. R2D2 is a robot which can repair only aeroplanes
D. Only R2D2 is a robot.
Answer» C. R2D2 is a robot which can repair only aeroplanes
Discussion
61.

Pick the odd one out in the following: 13, 23, 33, 43, 53

A. 23
B. 33
C. 43
D. 53
Answer» C. 43
Discussion
62.

Identify the correct spelling out of the given options:

A. Managable
B. Manageable
C. Mangaeble
D. Managible
Answer» C. Mangaeble
Discussion
63.

The chairman requested the aggrieved shareholders to _________________ him.

A. bare with
B. bore with
C. bear with
D. bare
Answer» D. bare
Discussion
64.

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
Answer» B. Both [a] and [r] are true but [r] is not the correct reason for [a]
Discussion
65.

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 independen
D. its determinant is necessarily zero
Answer» C. its eigenvectors are linearly independen
Discussion
66.

Air enters an aircraft engine at a velocity of 180

A. 43241
B. 45594
C. 47940
D. 49779
Answer» E.
Discussion
67.

A rocket nozzle is designed to produce maximum thrust at an altitude,

A. under-expanded condition for 𝐻𝐻 > 8 𝑘m
B. under-expanded condition for 𝐻𝐻 < 8 𝑘m
C. sonic exit condition for 𝐻𝐻 > 8 𝑘m
D. unchoked condition for 𝐻𝐻 < 8 𝑘m
Answer» B. under-expanded condition for 𝐻𝐻 < 8 𝑘m
Discussion
68.

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
Answer» B. shifts rearward
Discussion
69.

The stoichiometric fuel-to-air ratio in an aircraft engine combustor varies with the compressor pressure ratio as follows:

A. increases linearly
B. decreases linearly
C. is independent
D. increases nonlinearly
Answer» D. increases nonlinearly
Discussion
70.

Which one of the following aero engines has the highest propulsive efficiency?

A. Turbojet engine without afterburner
B. Turbojet engine with afterburner
C. Turbofan engine
D. Ramjet engine
Answer» D. Ramjet engine
Discussion
71.

As a candidate for a vertical tail, which one of the following airfoil sections is appropriate?

A. NACA 0012
B. NACA 2312
C. NACA 23012
D. Clarke Y profile
Answer» B. NACA 2312
Discussion
72.

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
Answer» E.
Discussion
73.

For constant free stream velocity and density, a change in lift for a large aspect ratio straight wing, with thin cambered airfoil section at small angles of attack, leads to

A. a shift of the aerodynamic center and no shift of the center of pressure
B. a shift of the center of pressure and no shift of the aerodynamic center
C. shift of both the aerodynamic center and the center of pressure
D. no shift either of the aerodynamic center or of the center of pressure
Answer» C. shift of both the aerodynamic center and the center of pressure
Discussion
74.

A cantilever with thin-walled channel cross section is subjected to a lateral force at its shear center. The cantilever undergoes

A. bending without twisting
B. bending and twisting
C. neither bending nor twisting
D. twisting without bending
Answer» B. bending and twisting
Discussion
75.

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
Answer» B. random motion
Discussion
76.

A rocket has an initial mass of 150 kg. After operating for a duration of 10 s, its final mass is 50 kg. If the acceleration due to gravity is 9.81 m/s2 and the thrust produced by the rocket is 19.62 kN, the specific impulse of the rocket is

A. 400 s
B. 300 s
C. 200 s
D. 100 S
Answer» D. 100 S
Discussion
77.

An axial compressor that generates a stagnation pressure ratio of 4.0, operates with inlet and exit stagnation temperatures of 300 K and 480 K, respectively. If the ratio of specific heats (γ) is 1.4, the isentropic efficiency of the compressor is

A. 0.94
B. .81
C. .72
D. .63
Answer» C. .72
Discussion
78.

An aircraft with a turboprop engine produces a thrust of 500 N and flies at 100 m/s. If the propeller efficiency is 0.5, the shaft power produced by the engine is

A. 50 kW
B. 100KW
C. 125KW
D. 150KW
Answer» C. 125KW
Discussion
79.

An aircraft with a turbojet engine flies at a velocity of 100 m/s. If the jet exhaust velocity is 300 m/s, the propulsive efficiency of the engine, assuming a negligible fuel-air ratio, is

A. 0.33
B. 0.50
C. .67
D. .8
Answer» C. .67
Discussion
80.

A thin airfoil is mounted in a low-speed, subsonic wind tunnel, in which the Mach number is 0.1. At a point on the airfoil, the pressure coefficient is measured to be 1.2. If the flow velocity is increased such that the free-stream Mach number is 0.6, the pressure coefficient at the same point on the airfoil will approximately be:

A. -3.5
B. -2.9
C. -1.5
D. -0.75
Answer» D. -0.75
Discussion
81.

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

A. an isenthalpic process.
B. an isentropic process.
C. an isobaric process.
D. an isochoric process.
Answer» C. an isobaric process.
Discussion
82.

The first law of thermodynamics is also known as conservation of

A. mass.
B. momentum.
C. energy
D. species.
Answer» D. species.
Discussion
83.

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.

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 but [r] is false.
Answer» B. Both [a] and [r] are true but [r] is not the correct reason for [a].
Discussion
84.

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

A. 0.0 – 2.0
B. 2.0 – 5.0
C. 5.0 – 8.0
D. 8.0 – 10.0
Answer» C. 5.0 – 8.0
Discussion
85.

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

A. static temperature increases, total temperature remains constant.
B. static temperature increases, total temperature increases.
C. static temperature increases, total temperature decreases.
D. static pressure increases, total temperature remains constant.
Answer» C. static temperature increases, total temperature decreases.
Discussion
86.

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

A. static temperature.
B. temperature greater than static but less than total temperature.
C. total temperature.
D. temperature greater than total temperature.
Answer» C. total temperature.
Discussion
87.

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

A. negative
B. positive
C. indeterminate
D. zero
Answer» B. positive
Discussion
88.

around

A. apoapsis.
B. periapsis.
C. a point at +45 from periapsis.
D. a point at 90 from apoapsis.
Answer» C. a point at +45 from periapsis.
Discussion
89.

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

A. the thrust is directly proportional to free-stream density.
B. the thrust is directly proportional to weight of the aircraft.
C. the lift-off distance is directly proportional to free-stream density.
D. the runway friction is high on hot summer days.
Answer» B. the thrust is directly proportional to weight of the aircraft.
Discussion
90.

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 CL versus α curve

A. shifts right and slope increases.
B. shifts left and slope increases.
C. shifts left and slope stays the same.
D. shifts left and slope stays the same.
Answer» D. shifts left and slope stays the same.
Discussion
91.

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. pitch, nose up.
B. roll with the starboard wing up.
C. pitch, nose down.
D. roll with the port wing up.
Answer» C. pitch, nose down.
Discussion
92.

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

A. increase thrust alone.
B. increase thrust and increase angle of attack.
C. increase thrust and reduce angle of attack.
D. reduce angle of attack alone.
Answer» D. reduce angle of attack alone.
Discussion
93.

Consider a vector field given by xî+ yĵ+ zk̂. This vector field is

A. divergence-free and curl-free.
B. curl-free but not divergence-free.
C. divergence-free but not curl-free.
D. neither divergence-free nor curl-free.
Answer» C. divergence-free but not curl-free.
Discussion
94.

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

A. Two T will occur.
B. One H and one T will occur.
C. Two H will occur.
D. One H will be followed by one T.
Answer» C. Two H will occur.
Discussion
95.

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. What is the house number?

A. 54
B. 65
C. 66
D. 76
Answer» E.
Discussion
96.

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. 50
B. 89
C. 146
D. All of the Above
Answer» E.
Discussion
97.

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. 1096
B. 1111
C. 1243
D. 2486
Answer» D. 2486
Discussion
98.

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. 0
B. 2
C. 4
D. 8
Answer» D. 8
Discussion
99.

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

A. The circle has the largest area.
B. The square has the largest area.
C. The equilateral triangle has the largest area.
D. All the three shapes have the same area.
Answer» D. All the three shapes have the same area.
Discussion
100.

Find the missing group of letters in the following series: BC, FGH, LMNO, _____

A. UVWXY
B. TUVWX
C. STUVW
D. RSTUV
Answer» C. STUVW
Discussion