Discussion
Which of the following is the correct position of Rani with respect to Mukta?
I. Third to the right
II. Third to the left
III. Fourth to the left
IV. Fourth to the right
Answer: A
Correct answer: Both I & III
Facing the centre, each woman’s left is the next seat clockwise and her right the next seat anticlockwise. Place Mukta, then Ashwini three seats to her left, and Rani immediately beyond Ashwini. Geeta and Priya, two seats apart, fit the remaining seats in only one way, and of the last two Meeta must take the seat that does not touch Geeta. Clockwise the circle reads Mukta → Priya → Meeta → Ashwini → Rani → Sudha → Geeta.
Counting three seats to Mukta’s right - anticlockwise - gives Geeta, Sudha, Rani. Counting four to Mukta’s left - clockwise - gives Priya, Meeta, Ashwini, Rani. In a circle of seven those two counts must reach the same seat, since \( 3 + 4 = 7 \), so statements I and III are both correct.
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