Among M, N, O, P, Q, and R, each having a distinct height, who is the second tallest?

I. M is taller than only O. N is taller than P but shorter than R. Q is shorter than N.

II. Q is taller than only three persons. P is taller than M but shorter than R. N is shorter than R but taller than P.

Question

Among M, N, O, P, Q, and R, each having a distinct height, who is the second tallest?

I. M is taller than only O. N is taller than P but shorter than R. Q is shorter than N.

II. Q is taller than only three persons. P is taller than M but shorter than R. N is shorter than R but taller than P.

Accepted Answer

**Solution:**

1. Analyze Statement I:
   - M is taller than only O, so M is second shortest.
   - N is taller than P but shorter than R.
   - Q is shorter than N.

From this, the order is not fully clear, and the exact second tallest cannot be determined.

2. Analyze Statement II:
   - Q is taller than only three persons, so Q is fourth tallest.
   - P is taller than M but shorter than R.
   - N is shorter than R but taller than P.

From this, we can deduce:
   - R is tallest.
   - N is second tallest.
   - Q is third or fourth tallest.

3. Combining the information from Statement II alone:
   - R > N > Q > P > M > O

Hence, N is the second tallest.

**Answer:** Data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

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