Q: 138 (IAS/2000)

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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_year: 
2000
question_exam: 
IAS
question_sub_subject: 
Reasoning
question_topic: 
Analytical
stats: 
0,296,128,48,32,48,296