Mining Engineering Gate 2022 Questions with Answer

Ques 1 Gate 2022

A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR.
Further, it is given that, PQ = 11 cm, QR = 4 cm, RS = 6 cm and SP = 3 cm. What is the shortest distance between PQ and SR (in cm)?

Ques 2 Gate 2022

Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be seen if this novel approach has unforeseen consequences.
Which one of the following is the correct logical inference based on the information in the above passage?

Ques 3 Gate 2022

Consider the following inequalities.
(i) 2𝑥 − 1 > 7
(ii) 2𝑥 − 9 < 1
Which one of the following expressions below satisfies the above two inequalities?

Ques 4 Gate 2022

Four points P(0, 1), Q(0, −3), R(−2, −1), and S(2, −1) represent the vertices of a quadrilateral.
What is the area enclosed by the quadrilateral?

Ques 5 Gate 2022

In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below.
Statement of P: R has copied in the exam.
Statement of Q: S has copied in the exam.
Statement of R: P did not copy in the exam.
Statement of S: Only one of us is telling the truth.
Statement of T: R is telling the truth.
The investigating team had authentic information that S never lies.
Based on the information given above, the person who has copied in the exam is

Ques 6 GATE 2022

In the truss shown in the figure, the force in the member BD, in kN is ____________.

Ques 7 GATE 2022

The value of lim_x→0(1-x)ⁿ-1/x is

Ques 8 GATE 2022

The constant term of the Fourier coefficients of the periodic function

Ques 9 GATE 2022

Two vectors x and y are shown in the figure. The projection vector of x on y is

Ques 10 GATE 2022

Let f(x) be a continuous and differentiable function on. If f(3)=-50 and f'(x)≤20, then the largest possible value of f(18), is _________. (in integer)

Ques 11 GATE 2022

Let dT/dt∝(T_R-T), where T_R and T are temperatures in degree centigrade of a room and thermometer, respectively, and t denotes time in minutes. A thermometer at a reading of 2°C is brought in a room of temperature 40°C. Two minutes later, the thermometer reads 15°C. The time elapsed in minutes when the thermometer reads 39.5°C. is (round off to two decimal places)

Ques 12 GATE 2022

In a health centre, the probability of 'full occupancy' of COVID beds for a day is 0.8. Assuming Binomial probability distribution, the probability of full occupancy exactly for 5 days in a week, is (round off to three decimal places)

Ques 13 GATE 2022

The value of ∫₀¹xlog(1+x)dx is_______. (round off to two decimal places)