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

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Q: 140 (IAS/1998)
A, B, C, D, E and F, not necessarily in that order are sitting on six chairs regularly placed around a round table. It is observed that A is between D and F, C is opposite D, and D and E are not on neighbouring chairs.
Which one of the following pairs must be sitting on neighbouring chairs ?

question_subject: 

Logic/Reasoning

question_exam: 

IAS

stats: 

0,7,3,0,7,3,0

keywords: 

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

The given conditions provide clues to the seating arrangement of A, B, C, D, E, and F.

Option 1: A and B - The conditions do not specify that A and B are sitting next to each other, hence, this cannot be concluded.

Option 2: C and E - Since A is between D and F, this places D and F on opposite sides of the table. It`s also known that C is opposite D. Therefore, C cannot be next to D or F and must sit next to either A, B or E. Since D and E are not neighbouring chairs, it can be deduced that E must be sitting next to C.

Option 3: B and F - The conditions do not specify that B and F are sitting next to each other, hence, this cannot be concluded.

Option 4: A and C - Given that A is between D and F and C is opposite D, this means that A and C are not neighboring.

So clearly, option 2 (C and E) is correct. The conditions about the seating arrangement necessitate that C and E must be neighbouring.