Ranking logic — comparative positions in a class Mohan and Suresh study in the same class. Mohan scored higher than Suresh. Suresh's rank is seventh from the top. Which statement is definitely true?

Difficulty: Easy

Correct Answer: There are at the most five students between Mohan and Suresh in the rank list.

Explanation:


Introduction / Context:
“Seventh from top” fixes Suresh's position. Mohan is above Suresh (a better rank). We must find what must always hold regardless of the exact class size.



Concept / Approach:
The maximum gap occurs when Mohan is 1st. Then the number of students between them equals (7 − 1) − 1 = 5. For any other Mohan rank (2nd to 6th), the gap is smaller.



Step-by-Step Solution:
Suresh = 7th.Mohan ∈ {1st,2nd,3rd,4th,5th,6th}.Maximum separation when Mohan=1st ⇒ between = 5.Therefore, the number between them is ≤ 5 in all cases.



Why Other Options Are Wrong:
First place is not guaranteed (a). “At least one between” fails if Mohan is exactly 6th (b). “Exactly five ranks” is not fixed (d).



Common Pitfalls:
Confusing “definitely true” with a likely scenario.



Final Answer:
There are at the most five students between Mohan and Suresh in the rank list.

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