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.

Which of the following statement is true?

To determine which statement is true, let us step-by-step determine the schedule for each person from Monday to Sunday based on the given conditions.

Step 1: Record the fixed information.
- There are 7 days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday.
- "U goes to the picnic on Wednesday."
So, Wednesday = U.

Step 2: Determine the position of T.
- "Only one person goes between U and T."
Since U is on Wednesday, T could be on Monday (1 day before Tuesday) or Friday (1 day after Thursday).
Let us consider the two cases:
• Case 1: T is on Monday.
• Case 2: T is on Friday.

Step 3: Determine the position of S using T.
- "Only three persons go between T and S."
• In Case 1 (T = Monday): Three persons between T and S means S must be on Friday (Tuesday, Wednesday, Thursday are between them).
• In Case 2 (T = Friday): Three persons between T and S means S must be on Monday (Tuesday, Wednesday, Thursday are between them).

Step 4: Use the condition regarding S, P, and V.
- "V goes to the picnic after P but none of them go before S."
This means neither P nor V can go before S. In other words, both P and V must go on days after S.
• If S were on Friday (Case 1), then P and V would have to go after Friday (i.e., Saturday and Sunday). However, we also need to place Q and R who go together ("Q goes immediately before R"), requiring 2 consecutive empty spots. But with S on Friday, Monday is T, Wednesday is U, Friday is S. The available days before Friday are Tuesday and Thursday, which are not consecutive! Thus, Case 1 fails.
• Therefore, Case 2 is correct: S = Monday.

Step 5: Fill in the remaining days in Case 2.
Current Schedule:
- Monday: S
- Wednesday: U
- Friday: T
Remaining empty days: Tuesday, Thursday, Saturday, Sunday.

We know:
1. "Q goes immediately before R." This means Q and R must occupy consecutive available days. Looking at the empty spots (Tuesday, Thursday, Saturday, Sunday), the only consecutive pair of empty days is Saturday and Sunday.
So, Saturday = Q and Sunday = R.

2. The remaining empty days are Tuesday and Thursday for P and V.
- "V goes to the picnic after P."
Therefore, P must go on Tuesday and V must go on Thursday.
So, Tuesday = P and Thursday = V.

Final Schedule:
- Monday: S
- Tuesday: P
- Wednesday: U
- Thursday: V
- Friday: T
- Saturday: Q
- Sunday: R

Step 6: Evaluate the options.
- Option 1: "V goes on Friday" - False (V goes on Thursday).
- Option 2: "P goes two days before V" - True (P goes on Tuesday, which is 2 days before Thursday: Tuesday → Wednesday → Thursday).
- Option 3: "Only two persons go to the picnic between Q and R" - False (Q and R are on adjacent days).
- Option 4: "Q goes on Sunday" - False (Q goes on Saturday).

Hence, the correct statement is P goes two days before V.