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Seven friends S, Q, K, P, E, C and N have different ages. S is older than N but younger than E. K is older than P. Q is younger than E. C is younger than K. N is older than P. C is older than P. K is younger than Q. Which among them is the oldest?
N
Q
K
E
E
Identify the top of the chain by marking who is older than whom, then eliminate anyone who is younger than at least one other person.
Identify the top of the chain by marking who is older than whom, then eliminate anyone who is younger than at least one other person.
Establish age hierarchies
From the given info: 1) E > S > N > P. 2) K > P. 3) E > Q. 4) C < K and C > P. 5) K < Q.
Chain the variables together
Combining the relations: P < C < K < Q < E and P < N < S < E. Both chains show E is the oldest as no one is older than E.
A: N is younger than S, E, Q, K, and C, so N cannot be oldest. B: Q is younger than E, so Q cannot be oldest. C: K is younger than Q and E, so K cannot be oldest.
D is correct because E is older than S, N, Q, K, P, and C based on the consolidated inequality chain: P < C < K < Q < E and P < N < S < E.
When dealing with age or height puzzles, always draw a vertical line or inequality chain to avoid missing intermediate links.
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