Question

An athlete who enjoys playing football, tennis, badminton, cricket and basketball must somehow play all five of these sports during a given 7-day week (starting on Monday and ending on Sunday) in accordance with the following conditions :
(i) Football cannot be played on Monday or Sunday.
(ii) Badminton cannot be played on the day immediately before or immediately after the day on which tennis is played.
(iii) Basketball cannot be played on Thursday.
(iv)At least two of the five sports must be played twice during the week.
(v) Only one sport can be played each day.
(vi) No sport can be played for two consecutive days.
If Badminton is played on Monday and Basketball is played on Saturday, which of the following is a possible order of sports for the week ?

• A. Badminton (Monday), Tennis (Tuesday), Cricket (Wednesday), Football (Thursday), Cricket (Friday), Basketball (Saturday), Badminton (Sunday)
• B. Badminton (Monday), Football (Tuesday), Tennis (Wednesday), Football (Thursday), Cricket (Friday), Basketball (Saturday), Basketball (Sunday)
• C. Badminton (Monday), Football (Tuesday), Tennis (Wednesday), Football (Thursday), Cricket (Friday), Basketball (Saturday), Cricket (Sunday)
• D. None of the above

Answer 1

Answer: (C)

Badminton (Monday), Football (Tuesday), Tennis (Wednesday), Football (Thursday), Cricket (Friday), Basketball (Saturday), Cricket (Sunday)

Answer 2

The correct option is (C): Badminton (Monday), Football (Tuesday), Tennis (Wednesday), Football (Thursday), Cricket (Friday), Basketball (Saturday), Cricket (Sunday)