Mechanical Engineering GATE 2024 Questions with Answer

Ques 1 Aptitude

If ‘→’ denotes increasing order of intensity, then the meaning of the words [smile → giggle → laugh] is analogous to [disapprove → ________ → chide]. Which one of the given options is appropriate to fill the blank?

Ques 2 Aptitude

Find the odd one out in the set: {19, 37, 21, 17, 23, 29, 31, 11}

Ques 3 Aptitude

Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as 2, 3, 5, and 7. If thrown, the long dice cannot land on the square faces and has 1/4 probability of landing on any of the four rectangular faces. The label on the top face of the dice is the score of the throw. If thrown together, what is the probability of getting the sum of the two long dice scores greater than 11?

Ques 4 Aptitude

The real variables 𝑥, 𝑦, 𝑧, and the real constants 𝑝, 𝑞, 𝑟 satisfy

Ques 5 Aptitude

In the given text, the blanks are numbered (i)−(iv). Select the best match for all the blanks.
Prof. P ___(i)___ merely a man who narrated funny stories. ___(ii)___ in his blackest moments he was capable of self-deprecating humor.
Prof. Q ___(iii)___ a man who hardly narrated funny stories. ___(iv)___ in his blackest moments was he able to find humor.

Ques 6 Aptitude

A planar rectangular paper has two V-shaped pieces attached as shown below.

Ques 7 Engineering Materials

The phases present in pearlite are

Ques 8 Engineering Mathematics

The matrix

Ques 9 Engineering Mathematics

If the value of the double integral

Ques 10 Engineering Mathematics

If x(t) satisfies the differential equation
t(dx/dt) + (t−x) = 0
subject to the condition x(1) = 0 then the value of x (2) is ________ (rounded off to 2 decimal places).

Ques 11 Engineering Mathematics

Let X be a continuous random variable defined on such that its probability density function f ( x ) = 1 for 0 ≤ x ≤ 1 and 0 otherwise. Let Y = log_e(X+1). Then the expected value of Y is ___________. (rounded off to 2 decimal places)

Ques 12 Engineering Mechanics

A ram in the form of a rectangular body of size l = 9 m and b = 2 m is suspended by two parallel ropes of lengths 7 m. Assume the center-of-mass of the body is at its geometric center and g = 9.81 m/s². For striking the object P with a horizontal velocity of 5 m/s, what is the angle θ with the vertical from which the ram should be released from rest?

Ques 13 Engineering Mechanics

A rigid massless tetrahedron is placed such that vertex O is at the origin and the other three vertices A, B, and C lie on the coordinate axes as shown in the figure. The body is acted on by three point loads, of which one is acting at A along x-axis and another at point B along y-axis. For the body to be in equilibrium, the third point load acting at point O must be