Question

Instructions: Seven students, Priya, Ankit, Raman, Sunil, Tony, Deepak and Vicky, take a series of tests. No two students get similar marks. Vicky always scores more than Priya. Priya always scores more than Ankit. Each time, either Raman scores the highest and Tony gets the least, or alternatively Sunil scores the highest and Deepak or Ankit scores the least.

If Sunil is ranked second, which of the following can be true?

• A. Deepak gets more than Vicky
• B. Vicky gets more than Sunil
• C. Priya gets more than Raman
• D. Priya gets more than Vicky

Hint:

Sunil at second forces Raman-1 and Tony-7; only Deepak is free to rank ahead of Vicky among the rest.

Answer 1

The Correct Option is A

With Sunil fixed at rank 2, the “Sunil highest” branch is ruled out immediately, so the fixed points here are Raman-1, Sunil-2 and Tony-7, leaving ranks 3-6 for Vicky, Priya, Ankit and Deepak.

1. Deepak beats Vicky: Deepak has no ordering rule tying him to Vicky, so placing him ahead of her (say at rank 3, with Vicky, Priya, Ankit filling 4, 5, 6 in the required order) is a perfectly valid arrangement.
2. Vicky beats Sunil: Vicky is stuck within ranks 3-6, all worse than Sunil's rank 2, so this can never happen.
3. Priya beats Raman: Priya is also stuck within ranks 3-6, all worse than Raman's rank 1, so this can never happen.
4. Priya beats Vicky: This directly contradicts the fixed rule that Vicky always scores more than Priya, so it can never happen.

Only the first option is achievable under the puzzle's rules.

So the correct answer is option A.