Aerospace Engineering Gate 2021 Questions with Answer

Ques 40 GATE 2021

On a planar field, you traveled 3 units East from a point O. Next you traveled 4 units South to arrive at point P. Then you traveled from P in the North-East direction such that you arrive at a point that is 6 units East of point O. Next, you traveled in the North-West direction, so that you arrive at point Q that is 8 units North of point P.
The distance of point Q to point O, in the same units, should be _______.

Ques 41 GATE 2021

The author said, "Musicians rehearse before their concerts. Actors rehearse their roles before the opening of a new play. On the other hand, I find it strange that many public speakers think they can just walk onto the stage and start speaking. In my opinion, it is no less important for public speakers to rehearse their talks."
Based on the above passage, which one of the following is TRUE?

Ques 42 GATE 2021

1. Some football players play cricket.
2. All cricket players play hockey.
Among the options given below, the statement that logically follows from the two statements 1 and 2 above, is: _______.

Ques 43 GATE 2021

In the figure shown above, PQRS is a square. The shaded portion is formed by the intersection of sectors of circles with a radius equal to the side of the square and centers at S and Q. The probability that any point picked randomly within the square falls in the shaded area is _______.

Ques 44 GATE 2021

In an equilateral triangle PQR, side PQ is divided into four equal parts, side QR is divided into six equal parts and side PR is divided into eight equal parts. The length of each subdivided part in cm is an integer.
The minimum area of the triangle PQR possible, in cm² is _______.

Ques 45 GATE 2021

Consider the differential equation and the boundary conditions
d²y/dx² + 8(dy/dx) + 16y = 0, y(0) = 1 and dy/dx(0) = 0.
The solution to this equation is: _______.

Ques 46 GATE 2021

Which of the following statement(s) is/are true about the function defined as
f(x) = e^-x|cos x| for x > 0?

Ques 47 GATE 2021

The ratio of the product of eigenvalues to the sum of the eigenvalues of the given matrix is _______.

Ques 48 GATE 2021

The definite integral ⁵₁∫x²dx is evaluated using four equal intervals by two methods - first by the trapezoidal rule and then by the Simpson's one-third rule. The absolute value of the difference between the two calculations is _______. (round off to two decimal places)

Ques 49 GATE 2021

Uniaxial tension test (see the figure) is conducted on two different samples prepared with homogeneous, isotropic materials. One of the materials is brittle, whereas the other is ductile. Assuming that there is no stress concentration at loading points, the failure would initiate: _______.

Ques 50 GATE 2021

A thin-walled cylindrical tank with closed ends, made of homogeneous and isotropic material, is pressurized internally. If the hoop (circumferential) strain developed in the material is thrice the value of the axial strain then the Poisson's ratio of the material is _______. (correct up to one decimal place)

Ques 51 GATE 2021

The deflection y of a certain beam of length l and uniform weight per unit length w, is given as y = (w/(48EI))(2x⁴ - 3lx³ + l³x), where x is the distance from the point of support and EI is a constant. The nondimensional location (x/l) where the deflection of the beam is maximum, is _______. (round off to two decimal places)

Ques 52 GATE 2021

A rigid horizontal bar ABC, with roller support at A, is pinned to the columns BD and CE at points B and C, respectively, as shown in the figure. The other end of the column BD is fixed at D, whereas the column CE is pinned at E. A vertical load P is applied on the bar at a distance 'a' from point B.
The two columns are made of steel with an elastic modulus of 200 GPa and have a cross-section of 1.5 cm x 1.5 cm. The value of 'a' for which both columns buckle simultaneously, is _______ cm. (round off to one decimal place).