Five friends A, B, C, D, and E are placed in order of their heights. B is…

2024

Five friends A, B, C, D, and E are placed in order of their heights.

  1. B is taller than C and E.

  2. C is taller than D and B is not the tallest.

Regarding the given arrangement, which of the following is incorrect?

  1. A.

    A is taller than D

  2. B.

    C is taller than D

  3. C.

    B is taller than D

  4. D.

    E is taller than C

Attempted by 1511 students.

Show answer & explanation

Correct answer: D

Given: B is taller than C and E; C is taller than D; B is not the tallest.

Deduction:

  • Because B is not the tallest, the only remaining person who can be taller than B is A. So A > B.

  • From B > C and C > D we get B > C > D, and with A > B this yields A > B > C > D. We also have B > E, but there is no given relation between C and E.

Check each statement:

  • A is taller than D — True. From A > B > C > D we conclude A > D.

  • C is taller than D — True. This is given directly (C > D).

  • B is taller than D — True. Since B > C and C > D, transitivity gives B > D.

  • E is taller than C — Incorrect (not guaranteed). The givens do not compare E and C, so E being taller than C cannot be concluded and is therefore an incorrect definite statement.

Conclusion: The only statement that is incorrect (cannot be concluded from the givens) is the claim that E is taller than C.

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