Study the following information carefully and answer the questions given below.
Seven persons- P, Q, R, S, T, U and V go on a picnic on different days in a week starting from Monday to Sunday but not necessarily in the same order. Only one person goes on picnic each day.
U goes to the picnic on Wednesday. Only one person goes between U and T. Only three persons go between T and S. Q goes immediately before R. V goes to the picnic after P but none of them go before S.
On which of the following day does S go to the picnic?
Correct Answer :
Monday
Solution :
The correct answer is Monday.
Step-by-Step Explanation:
Let's arrange the days of the week from Monday to Sunday:
1. Monday
2. Tuesday
3. Wednesday
4. Thursday
5. Friday
6. Saturday
7. Sunday
Now, let's analyze the given clues step by step:
Clue 1: "U goes to the picnic on Wednesday."
So, Wednesday = U.
Clue 2: "Only one person goes between U and T."
Since U is on Wednesday, T could go on Monday or Friday.
Let's evaluate the possibilities:
Case 1: T goes on Friday.
- Next clue: "Only three persons go between T and S."
- If T is on Friday (day 5), counting 3 days backward (Thursday, Wednesday, Tuesday) places S on Monday (day 1).
- Next clue: "V goes to the picnic after P but none of them go before S." This condition is satisfied since S is on Monday (the first day), so no one goes before S.
- Next clue: "Q goes immediately before R."
- With U on Wednesday, T on Friday, and S on Monday, the available days for Q and R (who must be on consecutive days) are Tuesday and Thursday, or Saturday and Sunday.
- If Q is on Tuesday and R is on Thursday, they are not on consecutive days. Thus, Q and R must be on Saturday and Sunday, respectively.
- Remaining days: Tuesday and Thursday. P and V must fill these. Since V goes after P, P goes on Tuesday and V goes on Thursday.
Let's check the complete schedule for Case 1:
- Monday: S
- Tuesday: P
- Wednesday: U
- Thursday: V
- Friday: T
- Saturday: Q
- Sunday: R
All conditions are completely satisfied in this arrangement!
Case 2: T goes on Monday.
- If T is on Monday (day 1), three persons between T and S places S on Friday (day 5).
- However, the clue states: "none of them [P or V] go before S." This means P and V must go on Saturday and Sunday. But another clue states "Q goes immediately before R", which requires two consecutive slots (Tuesday and Thursday are separated, so this creates a conflict). Thus, Case 1 is the unique valid arrangement.
Conclusion:
S goes to the picnic on Monday.
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