Ranks — What is Suneeta's rank from the top in a class of students? Statements: I. In a class of 42 students, Suneeta is 29th from the bottom. II. Suneeta is ten ranks below Samir.

Difficulty: Easy

Correct Answer: Statement I alone is sufficient; Statement II alone is not sufficient.

Explanation:


Introduction / Context:
This is a rank-conversion problem: converting 'from bottom' to 'from top' when class size is known.


Given Data / Assumptions:

  • Total students = 42 (from I).
  • Suneeta is 29th from bottom (from I).
  • From II: Suneeta is ten ranks below Samir, but Samir’s rank is unknown.


Concept / Approach:
Use the identity: rank_from_top = N − rank_from_bottom + 1.


Step-by-Step Solution:

From I: rank_from_top = 42 − 29 + 1 = 14. Unique.From II alone: relative to Samir only; cannot compute an absolute rank.


Verification / Alternative check:
Plugging back: 14th from top implies 29th from bottom in a class of 42, which matches I.


Why Other Options Are Wrong:

  • B: II lacks absolute anchor.
  • C: Neither statement alone other than I suffices.
  • D/E: Unnecessary; I already gives a unique answer.


Common Pitfalls:
Forgetting the +1 while converting between top/bottom ranks.


Final Answer:
A — Statement I alone suffices (rank = 14th from the top).

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