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

Step 1: Fix the scenario.
Sunil is ranked second, not first, so the “Sunil highest” branch cannot apply. This forces Raman to be first (highest) and Tony to be seventh (least). Sunil is fixed at rank 2.

Step 2: Note the remaining slots.
Ranks 3, 4, 5 and 6 remain for Vicky, Priya, Ankit and Deepak, with Vicky better than Priya better than Ankit, and no fixed constraint on Deepak relative to them.

Step 3: Check option A.
Deepak can freely take a better rank than Vicky, for example Deepak-3, Vicky-4, Priya-5, Ankit-6, which is a fully valid arrangement. So Deepak scoring more than Vicky (ranking better) is possible.

Step 4: Check option B.
Vicky is confined to ranks 3 to 6, so she can never beat Sunil's fixed rank 2; this option is impossible.

Step 5: Check option C.
Priya is also confined to ranks 3 to 6, so she can never beat Raman's fixed rank 1; this option is impossible.

Step 6: Check option D.
The rule Vicky always scores more than Priya directly forbids Priya from ever outscoring Vicky; this option is impossible.

Step 7: Final Answer.
Only option A can be true.