Mechanical Engineering GATE 2022 Set-1 Questions with Answer

Ques 1 Aptitude

After playing _________ hours of tennis, I am feeling _________ tired to walk back.

Ques 2 Aptitude

A person travelled 80 km in 6 hours. If the person travelled the first part with a uniform speed of 10 kmph and the remaining part with a uniform speed of 18kmph.
What percentage of the total distance is travelled at a uniform speedof 10 kmph?

Ques 3 Aptitude

Four girls P, Q, R and S are studying languages in a University. P is learning French and Dutch. Q is learning Chinese and Japanese. R is learning Spanish and French. S is learning Dutch and Japanese.
Given that: French is easier than Dutch; Chinese is harder than Japanese; Dutch is easier than Japanese, and Spanish is easier than French.
Based on the above information, which girl is learning the most difficult pair of languages?

Ques 4 Aptitude

Humans are naturally compassionate and honest. In a study using strategically placed wallets that appear “lost”, it was found that wallets with money are more likely to be returned than wallets without money. Similarly, wallets that had a key and money are more likely to be returned than wallets with the same amount of money alone. This suggests that the primary reason for this behavior is compassion and empathy.
Which one of the following is the CORRECT logical inference based on the information in the above passage?

Ques 5 Aptitude

A rhombus is formed by joining the midpoints of the sides of a unit square.What is the diameter of the largest circle that can be inscribed within the rhombus?

Ques 6 Aptitude

An equilateral triangle, a square and a circle have equal areas.What is the ratio of the perimeters of the equilateral triangle to square to circle?

Ques 7 Aptitude

Given below are three conclusions drawn based on the following three
statements
Statement 1: All teachers are professors.
Statement 2: No professor is a male.
Statement 3: Some males are engineers.

Conclusion I: No engineer is a professor.
Conclusion II: Some engineers are professors.
Conclusion III: No male is a teacher.
Which one of the following options can be logically inferred?

Ques 8 Aptitude

In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration from 3 PM in a day to 3 AM the next day?

Ques 9 Dynamics

The figure shows a schematic of a simple Watt governor mechanism with the spindle O₁O₂ rotating at an angular velocity ω about a vertical axis. The balls at P and S have equal mass. The vertical distance between the horizontal plane of rotation of the balls and the pivot O₁ is denoted by h. The value of h = 400 mm at a certain ω. If ω is doubled, the value of h will be _________ mm.

Ques 10 Dynamics

The plane of the figure represents a horizontal plane. A thin rigid rod at rest is pivoted without friction about a fixed vertical axis passing through O. Its mass moment of inertia is equal to 0.1 kg∙cm² about O. A point mass of 0.001 kg hits it normally at 200 cm/s at the location shown, and sticks to it. Immediately after the impact, the angular velocity of the rod is ___________ rad/s.

Ques 11 Dynamics

A cylindrical disc of mass m = 1 kg and radius r = 0.15 m was spinning at ω = 5 rad/s when it was placed on a flat horizontal surface and released.(refer to the figure). Gravity 𝑔 acts vertically downwards as shown in the figure. coefficient of friction between the disc and the surface is finite and positive. Disregarding any other dissipation except that due to friction between the disc and the surface, the horizontal velocity of the center of the disc, when it starts rolling without slipping, will be _________ m/s (round off to 2 decimal places).

Ques 12 Engineering Drawing

Ques 13 Fluid Mechanics

In the following two-dimensional momentum equation for natural convection over a surface immersed in a quiescent fluid at temperature 𝑇 (𝑔 is the gravitational acceleration, 𝛽 is the volumetric thermal expansion coefficient, 𝝂 is the kinematic viscosity, 𝑢 and 𝑣 are the velocities in 𝑥 and 𝑦 directions, respectively, and T is the temperature)