Discussion
Four people P, Q, R, and S, of different ages, make the following observations.
P - I am younger than S.
Q - I am neither the youngest nor the oldest.
R - P is older than me.
Based on these observations, the youngest person is ______.
Answer: C
The youngest person is R.
Write ages with \(\lt\) meaning 'younger than'. P's statement gives \(P \lt S\). R's statement, that P is older than R, gives \(R \lt P\). Together, \(R \lt P \lt S\). Q is neither the youngest nor the oldest, so Q falls somewhere between R and S, and the order from youngest is R, then P and Q in some order, then S.
Either way R is the youngest. P cannot be youngest because R is younger than P; Q's own statement rules Q out; and S is older than P, so S is if anything the oldest.
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