Aslam, Bhima, Chatri, Munna and Circuit have a meeting in India. They sit…
20242025
Aslam, Bhima, Chatri, Munna and Circuit have a meeting in India. They sit around a round table. Bhima sits two seats away to the right of Chatri and Aslam sits two seats away to the left of Chatri.Which of the following cannot be the correct seating arrangement of the five persons either clockwise or anti-clockwise?
- A.
Aslam, Bhima, Chatri, Munna, Circuit
- B.
Munna, Chatri, Circuit, Aslam, Bhima
- C.
Aslam, Bhima, Munna, Chatri, Circuit
- D.
Aslam, Circuit, Chatri, Munna, Bhima
Attempted by 18 students.
Show answer & explanation
Correct answer: A
Explanation: Determine which circular orders satisfy the two-seat conditions.
Key idea: If everyone faces the centre, Bhima must be two seats clockwise from Chatri and Aslam must be two seats counterclockwise from Chatri. The remaining two people (Munna and Circuit) occupy the other two seats in some order.
All valid clockwise orders (up to rotation) are: Chatri, Munna, Bhima, Aslam, Circuit or Chatri, Circuit, Bhima, Aslam, Munna. Any valid seating is a rotation of one of these or the reverse (anticlockwise).
Check each given arrangement by seeing whether it is a rotation or the reverse of one of the valid orders.
Aslam, Bhima, Chatri, Munna, Circuit is impossible because Bhima is adjacent to Chatri in this order, whereas Bhima must be two seats to the right of Chatri.
Conclusion: The seating Aslam, Bhima, Chatri, Munna, Circuit cannot satisfy the conditions. The other three given seatings can be obtained as rotations or reversals of the valid patterns and therefore are possible.
Munna, Chatri, Circuit, Aslam, Bhima — reversing gives Bhima, Aslam, Circuit, Chatri, Munna which matches a valid rotation.
Aslam, Bhima, Munna, Chatri, Circuit — reversing gives Circuit, Chatri, Munna, Bhima, Aslam, a valid rotation.
Aslam, Circuit, Chatri, Munna, Bhima — this is a rotation of a valid order, so it satisfies the conditions.