Question Details

Study the following information carefully and answer the questions given below:
Six persons — A, B, C, D, E and F — have different heights, but not necessarily in the same order.
More than two persons are shorter than E. C is two persons taller than E. Height of tallest person is 182cm. Height of A is 156cm. F is shorter than A.
Only two persons are shorter than D. B is taller than A but shorter than C.


How many persons are taller than E?

Options

A

One

B

Two

C

Three

D

Four

E

Five

Show Answer

Correct Answer :

Option B

Two

Solution :

To find the number of persons taller than E, let us analyze the given clues step-by-step and arrange the six persons (A, B, C, D, E, and F) in descending order of their heights (from 1st tallest to 6th shortest):

1. Position of D:
The clue states: "Only two persons are shorter than D."
This fixes D's position as 4th from the top (or 3rd from the bottom), leaving exactly two spots below him.
Arrangement: _ > _ > _ > D > _ > _

2. Positions of E and C:
We are told: "More than two persons are shorter than E." This means at least 3 persons are shorter than E. Thus, E must be in the 1st, 2nd, or 3rd position.
We are also told: "C is two persons taller than E." This means C is placed two spots ahead of E (C > [one person] > E).
If E were in the 2nd position, C would have to be in the "0th" position, which is impossible. Similarly, E cannot be in the 1st position.
Therefore, E must be in the 3rd position, which places C in the 1st position.
Arrangement: C > _ > E > D > _ > _

3. Positions of A, B, and F:
The remaining empty positions are 2nd, 5th, and 6th.
We are given: "B is taller than A but shorter than C" and "F is shorter than A."
This gives us the relative height order: C > B > A > F.
Placing them into the remaining vacancies (2nd, 5th, and 6th positions) gives:
• B in the 2nd position
• A in the 5th position
• F in the 6th position

4. Final Height Arrangement:
From tallest to shortest, the arrangement is:
1. C (Tallest: 182 cm)
2. B
3. E
4. D
5. A (156 cm)
6. F (Shortest)

5. Conclusion:
Looking at the final arrangement, the persons taller than E are C and B. Thus, there are exactly two persons taller than E.

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