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.

Who goes to picnic on Tuesday?

The correct option is P.

Step-by-step Explanation:

Let's arrange the days of the week starting from Monday to Sunday and place each person based on the given clues:

1. Days of the week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.

2. Clue 1: "U goes to the picnic on Wednesday."
- Wednesday: U

3. Clue 2: "Only one person goes between U and T."
- U is on Wednesday. So T can go either on Monday or on Friday.
- Let's test if T is on Monday:
  • If T is on Monday, then using Clue 3 ("Only three persons go between T and S"), S must go on Friday (Monday + 4 days = Friday).
- What if T is on Friday?
  • If T is on Friday, then S would have to be on Monday (Friday - 4 days = Monday). But Clue 5 states "V goes to the picnic after P but none of them go before S", which means S must go before both P and V. If S is on Monday, that leaves Tuesday, Thursday, Friday, Saturday, Sunday. But let's check the rest of the conditions.

Let's evaluate Case 1 (T on Monday, S on Friday):
- Monday: T
- Tuesday: [Empty]
- Wednesday: U
- Thursday: [Empty]
- Friday: S
- Saturday: [Empty]
- Sunday: [Empty]

4. Clue 4: "Q goes immediately before R."
- Q and R must occupy two consecutive empty days.
- The remaining empty days are Tuesday, Thursday, Saturday, Sunday.
- The only consecutive available days are Saturday and Sunday. Therefore:
  • Saturday: Q
  • Sunday: R

5. Clue 5: "V goes to the picnic after P but none of them go before S."
- Wait! In this configuration, S is on Friday, so P and V would have to go after Friday (i.e. Saturday/Sunday). But Saturday and Sunday are occupied by Q and R. So T cannot be on Monday.

Let's re-evaluate Case 2 (T on Friday, S on Monday):
- Monday: S
- Tuesday: [Empty]
- Wednesday: U
- Thursday: [Empty]
- Friday: T
- Saturday: [Empty]
- Sunday: [Empty]

6. Now apply Clue 4: "Q goes immediately before R."
- We need two consecutive empty days. The available empty days are Tuesday, Thursday, Saturday, Sunday.
- Are there two consecutive empty days? None of Tuesday, Thursday, Saturday, Sunday are adjacent!
Wait, let's re-check the days between U and T!

Let's re-examine: "Only one person goes between U and T."
- U = Wednesday.
- Option A for T: Friday (since Thursday is between Wednesday and Friday).
- Option B for T: Monday (since Tuesday is between Wednesday and Monday).

Wait, if T is on Friday, 3 persons between T and S means:
T = Friday.
Persons between: Thursday, Wednesday, Tuesday -> S = Monday.
Empty days left: Tuesday, Thursday, Saturday, Sunday.
None of these are consecutive, so Q immediately before R requires 2 adjacent slots.
Let's check if T = Monday:
T = Monday.
Persons between T and S (3 persons): Tuesday, Wednesday, Thursday -> S = Friday.
Empty slots left: Tuesday, Thursday, Saturday, Sunday.
Wait, Saturday and Sunday ARE consecutive slots!
So Q = Saturday, R = Sunday.
Then the remaining empty slots are Tuesday and Thursday.
We have P and V left.
"V goes to the picnic after P but none of them go before S."
Wait! "none of them go before S" means neither P nor V goes before S.
Wait, if neither P nor V goes before S, then both P and V must go AFTER S.
If S is on Friday, then after S are Saturday and Sunday, which are occupied by Q and R!
Wait, what if "none of them go before S" is interpreted as: S is on Monday, so NO ONE goes before S (since Monday is the first day)?
Yes! If S is on Monday, then "none of them go before S" is naturally satisfied because Monday is the very first day of the week, so NO ONE goes before S!

Let's verify S on Monday with consecutive slots for Q and R:
Wait, if S is on Monday, are there consecutive slots? Let's check:
If T is on Friday:
- Monday: S
- Tuesday: P / Q / R / V
- Wednesday: U
- Thursday: P / Q / R / V
- Friday: T
- Saturday: Q / R
- Sunday: Q / R
Wait! Saturday and Sunday ARE consecutive slots! Saturday and Sunday are adjacent days!
So Q = Saturday, R = Sunday!
Then the remaining empty slots are Tuesday and Thursday for P and V.
Since "V goes to the picnic after P":
- Tuesday: P
- Thursday: V

Let's double-check all conditions for this complete schedule:

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

Verification of all conditions:
1. "Seven persons... Monday to Sunday" -> S, P, U, V, T, Q, R (7 persons, 7 days).
2. "U goes to the picnic on Wednesday" -> U is on Wednesday. (Correct)
3. "Only one person goes between U and T" -> Between Wednesday (U) and Friday (T) is Thursday (V). (1 person, Correct)
4. "Only three persons go between T and S" -> Between Monday (S) and Friday (T) are Tuesday, Wednesday, Thursday (3 persons: P, U, V). (Correct)
5. "Q goes immediately before R" -> Q is on Saturday, R is on Sunday. (Correct)
6. "V goes to the picnic after P" -> P is on Tuesday, V is on Thursday (Thursday is after Tuesday). (Correct)
7. "none of them go before S" -> S is on Monday, so no person goes before S. (Correct)

Therefore, P goes to the picnic on Tuesday.