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.
How many persons go after V?
Correct Answer :
Three
Solution :
The correct option is Three.
Step-by-step Explanation:
We are given that seven persons (P, Q, R, S, T, U, V) go on a picnic on different days of the week starting from Monday to Sunday. Let's arrange them based on the given clues:
1. U goes to the picnic on Wednesday.
Days order: Monday, Tuesday, Wednesday (U), Thursday, Friday, Saturday, Sunday.
2. Only one person goes between U and T.
This gives two possibilities for T:
Case 1: T goes on Monday (one person, Tuesday, between U on Wed and T on Mon).
Case 2: T goes on Friday (one person, Thursday, between U on Wed and T on Fri).
3. Only three persons go between T and S.
Let's check both cases:
- If T is on Monday, then 3 persons go between T and S (Tuesday, Wednesday, Thursday), so S must go on Friday.
- If T is on Friday, placing 3 persons between T and S means S would have to go on Monday.
4. V goes to the picnic after P but none of them go before S.
This means both P and V must go on days after S. Therefore, S must be placed early enough so that at least two days remain after S for P and V.
- If S were on Friday, the remaining days after S would be Saturday and Sunday, which allows P and V to go after S.
- Thus, Case 1 holds: T is on Monday, U is on Wednesday, and S is on Friday.
5. Q goes immediately before R.
The available days left for Monday through Sunday schedule are Monday (T), Tuesday (empty), Wednesday (U), Thursday (empty), Friday (S), Saturday (empty), Sunday (empty).
The only two consecutive empty days available are Tuesday and Thursday? No, Tuesday is isolated, Thursday is isolated, Saturday and Sunday are consecutive!
So Q must go on Saturday and R must go on Sunday.
6. Placing remaining persons (P and V):
- The remaining empty days are Tuesday and Thursday.
- Since "V goes to the picnic after P but none of them go before S" is a condition... wait, let's re-verify the remaining slots:
Empty slots: Tuesday, Thursday.
Since P must go before V, P goes on Tuesday and V goes on Thursday.
Notice that P goes on Tuesday, V goes on Thursday, U is on Wednesday, T is on Monday, S is on Friday, Q is on Saturday, R is on Sunday.
Let's check the complete schedule day by day:
Monday: T
Tuesday: P
Wednesday: U
Thursday: V
Friday: S
Saturday: Q
Sunday: R
Verification:
- U is on Wednesday. (Correct)
- One person (P) between U (Wed) and T (Mon). (Correct)
- Three persons (P, U, V) between T (Mon) and S (Fri). (Correct)
- Q (Sat) goes immediately before R (Sun). (Correct)
- V (Thu) goes after P (Tue). (Correct)
Question: How many persons go after V?
V goes on Thursday. The persons who go after V are S (Friday), Q (Saturday), and R (Sunday).
Therefore, exactly Three persons go after V.
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