Read the following information carefully and answer the questions given below:
Six persons A, B, C, D, E and F are of different height but not necessarily in the same order. A is 2nd tallest person among them. There are two persons between A and B. C is just taller than D but shorter than E. The height of the 2nd tallest person is 177cm.
Who among the following is the fourth tallest person?
Correct Answer :
D
Solution :
Let us analyze the given information step-by-step to find the heights of the six persons (A, B, C, D, E, and F) in descending order (from 1st tallest to 6th tallest).
1. There are 6 positions from tallest to shortest:
1st (Tallest) > 2nd > 3rd > 4th > 5th > 6th (Shortest)
2. "A is the 2nd tallest person among them."
This places A directly in the 2nd position:
_ > A > _ > _ > _ > _
3. "There are two persons between A and B."
Since A is in the 2nd position, B must be in the 5th position (leaving the 3rd and 4th positions between them):
_ > A > _ > _ > B > _
4. "C is just taller than D but shorter than E."
This means C and D must be adjacent, with C taller than D (represented as CD), and E is taller than C (E > C > D). Thus, the sequence E, C, D must appear in that relative order. Since C is just taller than D, C and D must occupy consecutive positions.
Let's find where E, C, and D can fit in the remaining vacant positions (1st, 3rd, 4th, and 6th):
- If C and D occupy the 3rd and 4th positions respectively:
_ > A > C > D > B > _
For E > C > D to hold true, E must occupy a position taller than C. The only available taller position is the 1st position:
E > A > C > D > B > _
This is a valid arrangement. The remaining person, F, will occupy the 6th position:
E > A > C > D > B > F
5. Let's verify if any other arrangement is possible:
If C and D occupy the 4th and 6th positions (not consecutive), it violates "C is just taller than D".
If C and D occupy the 1st and 3rd positions (not consecutive), it also violates the condition.
Thus, the final arrangement from tallest to shortest is:
1st: E
2nd: A (177 cm)
3rd: C
4th: D
5th: B
6th: F
Therefore, D is the fourth tallest person.
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