Two-end ranks in one class: Sohan is 7th from the top and 26th from the bottom. How many students are in the class?

Difficulty: Easy

Correct Answer: 32

Explanation:


Introduction / Context:
When both top-rank and bottom-rank of the same student are known in a single line, total strength is computed by adding the two and subtracting 1 (as the student is counted twice otherwise).



Given Data / Assumptions:

  • Sohan's top-rank = 7.
  • Sohan's bottom-rank = 26.


Concept / Approach:
Total N = top-rank + bottom-rank − 1.



Step-by-Step Solution:

N = 7 + 26 − 1 = 32.


Verification / Alternative check:
7 above Sohan and 25 below him sum to 32 when including Sohan.


Why Other Options Are Wrong:

  • 31, 33, 34: Off by ±1 or ±2 due to missing the minus 1.
  • None of these: Correct option exists.


Common Pitfalls:
Forgetting to subtract 1 when combining the two ranks.


Final Answer:
32

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