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Ages — Kiran is elder to Manoj; Dilip is elder to Neelam. Who is the youngest? Statements: I. Kiran is elder to Neelam. II. Manoj is younger than Dilip.

Difficulty: Medium

Statement I alone is sufficient; Statement II alone is not sufficient.
Statement II alone is sufficient; Statement I alone is not sufficient.
The Statements I and II together are not sufficient to answer the question.
Both Statements I and II together are necessary to answer the question.
Both Statements I and II together are sufficient, but neither alone is sufficient.

Correct Answer: The Statements I and II together are not sufficient to answer the question.

Explanation:

Introduction / Context:We must identify the youngest using partial order relations among four people.

Given Data / Assumptions:

Base: K > M; D > N.
I: K > N.
II: D > M.

Concept / Approach:Combine the inequalities and see if a unique minimum (youngest) is forced.

Step-by-Step Solution:

From all: K > M and K > N; D > N and D > M. The unresolved relation is between M and N; either could be younger.Case 1: N is youngest if N < M. Case 2: M is youngest if M < N. Both cases fit the statements.

Verification / Alternative check:No contradiction arises in either case; thus no unique youngest is identified.

Why Other Options Are Wrong:

A/B/D/E: Neither statement alone nor their combination fixes M vs N.

Common Pitfalls:Assuming transitivity across disjoint chains (K vs D) to infer M vs N.

Ages — Kiran is elder to Manoj; Dilip is elder to Neelam. Who is the youngest? Statements: I. Kiran is elder to Neelam. II. Manoj is younger than Dilip.

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