Question Details

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.

Options

If the data in statement I is sufficient

If the data in statement II is sufficient

If the data in statement II and statement III are sufficient to answer the question.

If the data in all the statement I, II and III are necessary to answer the question.

If the data in statement III is sufficient

Show Answer

Correct Answer :

Option E

If the data in statement III is sufficient

Solution :

Correct Answer: If the data in statement III is sufficient

Let us analyze the given problem step-by-step to determine which statement(s) are sufficient to answer the question: Who among the following is the tallest?

There are 8 persons arranged in descending order of their heights from left to right. Let the positions from 1 to 8 represent heights from tallest to shortest:
Position 1 > Position 2 > Position 3 > Position 4 > Position 5 > Position 6 > Position 7 > Position 8

Analyzing Statement III alone:
1. "Only two persons are taller than A."
This means A is at Position 3 (as 2 persons are ahead/taller than A).
Positions: _ > _ > A > _ > _ > _ > _ > _

2. "A is just taller than D."
This means D is placed immediately after A, which puts D at Position 4.
Positions: _ > _ > A > D > _ > _ > _ > _

3. "Two persons stand between E and D."
Since D is at Position 4, placing 2 persons between E and D towards the right means E must be at Position 7 (since positions 5 and 6 are between them).
Positions: _ > _ > A > D > _ > _ > E > _

4. "G is taller than D but not just taller than A."
Persons taller than D occupy positions 1, 2, and 3. Position 3 is already occupied by A.
G is taller than D, so G must be at Position 1 or Position 2.
However, the statement explicitly states G is "not just taller than A". The position "just taller than A" is Position 2.
Therefore, G cannot be at Position 2. Thus, G MUST be at Position 1.

Positions: G > _ > A > D > _ > _ > E > _

Since Position 1 corresponds to the tallest person, G is uniquely identified as the tallest person among all eight persons using Statement III alone.

Therefore, Statement III alone is sufficient to answer the question.