This question is based on the following information.
Six friends – A, B, C, D, E and F are sitting around a circular table as per the following conditions. F is sitting to the left of A. B is sitting between C and E and is opposite to A. E is sitting to the right of D.
If A interchanges his place with D, F interchanges with E, and B interchanges with C, then which of the following statements must be true?
Show answer & explanation
Correct answer: C
Explanation
1. Initial Arrangement:
Let the six friends sit facing the center at positions corresponding to a clock face (12, 2, 4, 6, 8, 10 o'clock):
• Place A at 6 o'clock. Since B is opposite to A, B is at 12 o'clock.
• F is to the left of A (clockwise), so F is at 8 o'clock.
• The remaining positions are 10, 2, and 4 o'clock. Therefore, D must be at 4 o'clock.
• E is to the right of D (anticlockwise from 4 o'clock), so E is at 2 o'clock.
• B is between C and E, so C is at 10 o'clock.
Initial Positions:
12: B, 2: E, 4: D, 6: A, 8: F, 10: C
2. After Interchanging Places:
• A and D interchange A is at 4, D is at 6
• F and E interchange F is at 2, E is at 8
• B and C interchange B is at 10, C is at 12
New Positions:
12: C, 2: F, 4: A, 6: D, 8: E, 10: B
Conclusion:
Positions 12 and 6 are directly opposite to each other, which means C and D sit opposite each other.
Therefore, the correct statement is (C).