Mechanical Engineering (ME) 2024

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?

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

In the following series, identify the number that needs to be changed to form the Fibonacci series. 1, 1, 2, 3, 6, 8, 13, 21,...

The real variables x, y, z, and the real constants p, q, r satisfy x/(pq - r2) = y/(qr - p2) = z/(rp - q2). Given that the denominators are non-zero, the value of px + qy + rz is

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?

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.