Eight persons have different heights and they are standing in a row according to their heights in descending order. Who among the following is the tallest?

**Statement I.** Two persons stand between H and F. The number of persons stands before A is one more than the number of persons stands after E.

**Statement II.** E is not the shortest among all the persons. More than three persons are taller than E. C is taller than F.

**Statement III.** Only two persons are taller than A. A is just taller than D. Two persons stand between E and D. E is not the tallest person. G is taller than D but not just taller than A.

Question

Eight persons have different heights and they are standing in a row according to their heights in descending order. Who among the following is the tallest?

**Statement I.** Two persons stand between H and F. The number of persons stands before A is one more than the number of persons stands after E.

**Statement II.** E is not the shortest among all the persons. More than three persons are taller than E. C is taller than F.

**Statement III.** Only two persons are taller than A. A is just taller than D. Two persons stand between E and D. E is not the tallest person. G is taller than D but not just taller than A.

Accepted Answer

**Solution:**

We need to find who is the tallest among eight persons arranged in descending order of height.

**Step 1: Analyze Statement I**
- Two persons stand between H and F.
- Number of persons before A is one more than number of persons after E.

This gives some positional information but does not directly identify the tallest person.

**Step 2: Analyze Statement II**
- E is not the shortest.
- More than three persons are taller than E (so at least 4 taller than E).
- C is taller than F.

This tells about E's relative position and a comparison between C and F but does not identify the tallest person.

**Step 3: Analyze Statement III**
- Only two persons are taller than A.
- A is just taller than D.
- Two persons stand between E and D.
- E is not the tallest person.
- G is taller than D but not just taller than A.

From this:
- Since only two persons are taller than A, A is the 3rd tallest.
- A is just taller than D, so D is 4th tallest.
- G is taller than D but not just taller than A, so G must be 2nd tallest.
- E is not tallest.

Therefore, the tallest person must be someone other than A, D, E, and G.

Since G is 2nd tallest and A is 3rd tallest, the tallest person must be the one taller than G.

Hence, the tallest person is the one above G, which is not named in the statements but can be inferred as the tallest.

The order from tallest to shorter based on statement III is:

1st: Unknown (tallest)
2nd: G
3rd: A
4th: D

Since the question asks who is tallest, and statement III gives enough information to identify the tallest person (the one taller than G), statement III alone is sufficient.

**Answer:** (e) If the data in statement III is sufficient

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