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.
B is taller than C and E.
C is taller than D and B is not the tallest.
Regarding the given arrangement, which of the following is incorrect?
- A.
A is taller than D
- B.
C is taller than D
- C.
B is taller than D
- 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.