Who among the following plays Tennis?
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.
Correct Answer :
R
Solution :
The correct option is R.
Let us solve the puzzle step-by-step to determine the sport played by each person from Monday to Saturday.
Step 1: Understand the given conditions
1. There are 6 days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday.
2. Sports: Football, Cricket, Basketball, Tennis, Golf, Squash.
3. Persons: M, N, O, P, Q, R.
4. "Not more than two persons play after O." This means O can play on Thursday (2 persons after), Friday (1 person after), or Saturday (0 persons after).
5. "Only two persons play between the one who plays football and O."
6. "As many persons play before the one who plays football as after the one who plays basketball."
7. "P plays just after M but three persons before the one who plays basketball." (Note: "three persons before" means there are 2 persons between P and the one who plays Basketball, i.e., P is at position X, Basketball is at position X + 3).
8. "The one who plays squash plays three persons before R but after M." (Squash is at position Y, R is at position Y + 3).
9. "Q doesn’t play squash and plays after the one who plays cricket."
10. "N doesn’t play football."
11. "The one who plays golf plays before R."
Step 2: Determine the positions for Basketball, P, and M
Since P plays 3 persons before Basketball (P + 3 = Basketball):
- If P is Monday (1), Basketball is Thursday (4).
- If P is Tuesday (2), Basketball is Friday (5).
- If P is Wednesday (3), Basketball is Saturday (6).
Also, P plays just after M, so M is immediately before P.
- If P is Monday, M has no day available before it. Thus, P cannot be Monday.
- So, P can be Tuesday (M is Monday) or P can be Wednesday (M is Tuesday).
Step 3: Analyze the Basketball and Football connection
From condition 6: "As many persons play before Football as after Basketball."
- Case A: If P is Tuesday, Basketball is Friday (5th day, so 1 person after Basketball). Therefore, Football must have 1 person before it, which means Football is Tuesday.
- Case B: If P is Wednesday, Basketball is Saturday (6th day, so 0 persons after Basketball). Therefore, Football must have 0 persons before it, which means Football is Monday.
Step 4: Test Case A (P = Tuesday, Football = Tuesday, Basketball = Friday, M = Monday)
Since Football is Tuesday, the rule "Only two persons play between Football and O" means O must be Friday (since Tuesday is 2nd day, 2 + 3 = 5th day, Friday).
However, in Case A, Friday is already assigned to Basketball! But O plays some sport, so O would play Basketball.
Now let's check Squash and R:
Squash is played 3 persons before R (Squash + 3 = R).
The available days for Squash and R are:
- Squash on Wednesday (3) ⇒ R on Saturday (6).
Then the schedule for sports so far:
- Monday (1): M
- Tuesday (2): P (Football)
- Wednesday (3): Squash
- Thursday (4): ?
- Friday (5): O (Basketball)
- Saturday (6): R
Check condition: "N doesn't play football." Since P plays Football, this is consistent.
Now we need to place N and Q in the remaining days (Wednesday, Thursday):
- "Q doesn't play squash" ⇒ Q cannot be Wednesday, so Q must be Thursday.
- That leaves N for Wednesday (Squash).
So the person schedule is:
- Monday: M
- Tuesday: P
- Wednesday: N
- Thursday: Q
- Friday: O
- Saturday: R
Now let's place the remaining sports (Cricket, Tennis, Golf):
- "The one who plays squash plays after M." (Wednesday is after Monday - correct).
- "The one who plays golf plays before R."
- "Q plays after the one who plays cricket." Since Q is Thursday, Cricket must be played before Thursday (Monday or Wednesday). But Wednesday is Squash, so Cricket must be Monday (M plays Cricket).
- Now Golf plays before R. Golf can be Thursday (Q plays Golf).
- That leaves Tennis for Saturday (R plays Tennis).
Let's double-check all conditions for Case A:
1. Days: Mon (M - Cricket), Tue (P - Football), Wed (N - Squash), Thu (Q - Golf), Fri (O - Basketball), Sat (R - Tennis).
2. Two persons between Football (Tue) and O (Fri): Wed, Thu (2 persons) - Correct.
3. Not more than 2 persons play after O (Fri): 1 person (Sat) - Correct.
4. Persons before Football (1) = Persons after Basketball (1) - Correct.
5. P plays just after M (Tue after Mon) and 3 persons before Basketball (Tue to Fri: Wed, Thu, Fri = 3rd after) - Correct.
6. Squash (Wed) 3 persons before R (Sat) and after M (Mon) - Correct.
7. Q (Thu) doesn't play squash (N plays squash) and plays after Cricket (Mon) - Correct.
8. N doesn't play football (P plays football) - Correct.
9. Golf (Thu) plays before R (Sat) - Correct.
Conclusion:
- Monday: M - Cricket
- Tuesday: P - Football
- Wednesday: N - Squash
- Thursday: Q - Golf
- Friday: O - Basketball
- Saturday: R - Tennis
Therefore, R plays Tennis.
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