Shortest among five: J, K, L, M, N have different heights. M is only shorter than J (so M is second-tallest). K is not as tall as N, and N is shorter than L. Who is the shortest?

Difficulty: Medium

Correct Answer: K

Explanation:


Introduction / Context:
We must locate the minimum height given several partial comparisons, including a strong statement that pins J and M near the top.



Given Data / Assumptions:

  • M is only shorter than J ⇒ J is tallest, M is second-tallest.
  • K is not as tall as N ⇒ N > K.
  • N is shorter than L ⇒ L > N.
  • All distinct heights.


Concept / Approach:
From “M only shorter than J,” we know J > M and M ≥ everyone else. That means M ≥ L, N, K. Combined with L > N > K, it follows that among {L, N, K}, K is at the bottom. Since both J and M are above that trio, K is the global minimum.



Step-by-Step Ordering:

1) Fix top: J (1st), M (2nd).2) From L > N > K, place K at the bottom within this sub-chain.3) Because M is not shorter than any of L, N, K, none of them can lie above M; hence the shortest overall is K.


Verification / Alternative check:
Assign sample heights (e.g., J=10, M=9, L=8, N=7, K=6). All statements hold and K is shortest.


Why Other Options Are Wrong:

  • J, L, N: Each is above at least one other person.
  • M: Second tallest by statement.


Common Pitfalls:
Misreading “only shorter than J” and accidentally placing someone above M.


Final Answer:
K

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