Five students, N, O, R, S and T, have different heights. T is taller than N. R is taller than S but shorter than O. S is taller than N. More than two people are taller than T. How many people are shorter than R?
Three
List the given facts: T > N, O > R > S (R taller than S but shorter than O), and S > N.
Combining R > S > N with O > R gives the chain O > R > S > N.
We also know T > N, so N is below T. The clue “more than two people are taller than T” means at least three students stand above T.
The only students who can be above T are O, R and S (since T is already above N). For three people to be taller than T, all of O, R and S must exceed T, placing T just above N.
So the full order from tallest to shortest is O > R > S > T > N.
R sits second from the top, so the students shorter than R are S, T and N — that is three people.
Hence, the answer is Three.
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A medical representative plans to visit each of six hospitals — A, B, C, D, E and F — exactly once during the course of one day. He is setting up his schedule for the day according to the following conditions:
i. He must visit A before B and E.
ii. He must visit B before D.
iii. The third hospital he visits must be C.
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