GATE | GATE CS Mock 2018 | Question 5

Ram is smarter than Mohan. Rakesh is smarter than Ramu and Mohini is smarter than Rakesh. Which of the following is a set(s) of additional information that can determine the smartest person?

(I) Mohini is smarter than Ram and Mohan is smarter than Rakesh.
(II) Mohan is smarter than Mohini.
(III) Ram is smarter than Mohini.

(A) Only (II)
(B) Only (III)
(C) Either (I) or (II)
(D) None of these


Answer: (C)

Explanation: It is given that : Ram is smarter than Mohan, (i.e., Ram > Mohan). Rakesh is smarter than Ramu and Mohini is smarter than Rakesh (Mohni > Rakesh > Ramu).
Our purpose is to add more possible set(s) of additional information that can determine smartest person.

With the help of set (I), we can get Mohini as smartest person.
With the help of set (II), we can get Ram as smartest person.
But we can not conclude smartest person with set (III), because we have ambiguity (can be either Ram or Mohni).

So, only set (I) or (II) can decide smartest person.
Option (C) is correct.


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