How many persons plays after the one who plays just before N?

Study the following information carefully and answer the given questions below:

Six persons plays different sports on six different days from Monday to Saturday of a week. The sports are- Football, Cricket, Basketball, Tennis, Golf and Squash (but not played in the same order as given).

Only two persons play between the one who plays football and O. Not more than two persons play after O. As many persons play before the one who plays football as after the one who plays basketball. P plays just after M but three persons before the one who plays basketball. The one who plays squash plays three persons before R but after M. Q doesn’t paly squash and plays after the one who plays cricket. N doesn’t play football. The one who plays golf play before R.

The correct answer is Four.

Step-by-step Arrangement:

We need to arrange six persons (M, N, O, P, Q, R) playing six different sports (Football, Cricket, Basketball, Tennis, Golf, Squash) across six consecutive days from Monday to Saturday.

1. Determining O and Football's position:
- "Not more than two persons play after O." This means O plays on Thursday, Friday, or Saturday.
- "Only two persons play between the one who plays football and O."
- "As many persons play before the one who plays football as after the one who plays basketball."
- "P plays just after M but three persons before the one who plays basketball."
Testing Friday for O:
⇒ Football is played on Tuesday (2 persons between Tuesday and Friday: Wednesday, Thursday).
⇒ Since 1 person plays before Tuesday (Monday), 1 person must play after Basketball, placing Basketball on Friday (played by O).
⇒ P plays 3 days before Friday (Basketball), so P plays on Tuesday (Football).
⇒ M plays just before P, so M plays on Monday.

2. Determining R, N, and Q's position:
- "The one who plays squash plays three persons before R but after M."
⇒ Placing R on Saturday means Squash is played on Wednesday (3 days before Saturday: Wednesday, Thursday, Friday, Saturday).
- "N doesn’t play football." Since Football is on Tuesday, N must play on Wednesday (Squash).
- "Q doesn’t play squash." Therefore, Q plays on Thursday.
- The remaining person R plays on Saturday.

Final Schedule:

• Monday: M
• Tuesday: P (Football)
• Wednesday: N (Squash)
• Thursday: Q
• Friday: O (Basketball)
• Saturday: R

Answering the Question:

- The person who plays just before N (Wednesday) is P (Tuesday).
- The persons who play after P are those playing on Wednesday, Thursday, Friday, and Saturday.
- Therefore, there are 4 (Four) persons who play after the one who plays just before N.