A, B, C, D, E and F, not necessarily in that order, are sitting in six chairs regularly placed around a round table. It is observed that A is between D and F. C is opposite D. D and E are not on neighbouring chairs. Which one of the following must be true

examrobotsa's picture

Submitted by examrobotsa on

Q: 138 (IAS/2000)
A, B, C, D, E and F, not necessarily in that order, are sitting in six chairs regularly placed around a round table. It is observed that A is between D and F. C is opposite D. D and E are not on neighbouring chairs.
Which one of the following must be true?

question_subject: 

Logic/Reasoning

question_exam: 

IAS

stats: 

0,5,4,4,0,0,5

keywords: 

{'neighbouring chairs': [0, 2, 0, 0], 'chairs': [0, 0, 1, 0], 'round table': [0, 2, 0, 0], 'neighbours': [0, 1, 0, 0], 'order': [6, 12, 34, 35]}

From the given information, we can deduce the following:

1. A is between D and F.

2. C is opposite D.

3. D and E are not on neighboring chairs.

Based on these deductions, we can determine which statement must be true:

A is opposite B: We cannot determine the exact positions of A and B, so we cannot conclude that A is opposite B.

D is opposite E: We cannot determine the exact positions of D and E, so we cannot conclude that D is opposite E.

C and B are neighbors: There is no information provided about the positions of C and B, so we cannot conclude that they are neighbors.

B and E are neighbors: Since D and E are not on neighboring chairs, and C is opposite D, it means that B and E must be neighbors in order to satisfy the given conditions. Therefore, the statement "B and E are neighbors" must be true.

Hence, the correct answer is "B and E are neighbors."