Nine persons of different heights are arranged in descending order according to their height. Who among the following is the 3rd tallest?

**Statement I:** Two persons are between Q and R. P is shorter than S but not immediately shorter. The number of persons between R and S is equal to the number of persons between Q and R. T and U are not shorter than S. More than two persons are between P and U. T is taller than R.

**Statement II:** Only two persons are shorter than Q. One person is between Q and V. No one is between V and R. The number of persons between R and Q equals the number of persons taller than T. U is taller than T but shorter than S.

Question

Nine persons of different heights are arranged in descending order according to their height. Who among the following is the 3rd tallest?

**Statement I:** Two persons are between Q and R. P is shorter than S but not immediately shorter. The number of persons between R and S is equal to the number of persons between Q and R. T and U are not shorter than S. More than two persons are between P and U. T is taller than R.

**Statement II:** Only two persons are shorter than Q. One person is between Q and V. No one is between V and R. The number of persons between R and Q equals the number of persons taller than T. U is taller than T but shorter than S.

Accepted Answer

**Solution:**

1. From Statement I alone:
   - The information is complex but does not clearly identify the 3rd tallest person.
   - We know some relative positions and comparisons but cannot pinpoint the exact order to find the 3rd tallest.

2. From Statement II alone:
   - "Only two persons are shorter than Q" means Q is the 3rd shortest, so Q is the 7th tallest (since there are 9 persons).
   - One person is between Q and V, and no one is between V and R, so V and R are adjacent.
   - The number of persons between R and Q equals the number of persons taller than T.
   - U is taller than T but shorter than S.

Using these clues, we can deduce the exact order and identify the 3rd tallest person.

3. Combining both statements is not necessary since Statement II alone suffices.

**Answer:** If the data in statement II alone are sufficient.

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