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?

Correct Answer: P

Step-by-Step Explanation:

Let's analyze the given conditions to determine the day on which each person goes on a picnic. The days of the week are ordered from Monday to Sunday:

1. Monday

2. Tuesday

3. Wednesday

4. Thursday

5. Friday

6. Saturday

7. Sunday

Step 1: Place U

It is given that "U goes to the picnic on Wednesday."

• Wednesday = U

Step 2: Place T

It is given that "Only one person goes between U and T."

Since U is on Wednesday (Day 3), T could go on either Monday (Day 1) or Friday (Day 5).

Step 3: Place S using T's position

It is given that "Only three persons go between T and S."

• Case 1: If T goes on Friday (Day 5), 3 persons between T and S means S must go on Monday (Day 1).

• Case 2: If T goes on Monday (Day 1), 3 persons between T and S means S must go on Friday (Day 5).

Now consider the condition: "V goes to the picnic after P but none of them go before S."

This statement means that both P and V must go on picnic after S. Therefore, S must go early enough so that both P and V can be placed after S.

If S were on Friday (Case 2), there would only be Saturday and Sunday remaining after S, which leaves space for P and V, but let's check the remaining places for Q and R.

"Q goes immediately before R." This requires two consecutive vacant days.

Let's evaluate Case 1 (T on Friday, S on Monday):

• Monday: S

• Wednesday: U

• Friday: T

The remaining vacant days are Tuesday, Thursday, Saturday, and Sunday.

Since Q goes immediately before R, they need 2 consecutive days. Looking at the vacant slots (Tuesday, Thursday, Saturday, Sunday), the only consecutive available days are Saturday and Sunday!

So: Saturday = Q, Sunday = R.

Now the remaining vacant days are Tuesday and Thursday.

We know V goes after P, so P must go on Tuesday and V must go on Thursday (since both are after S, who is on Monday).

Let's verify the full arrangement under Case 1:

• Monday: S

• Tuesday: P

• Wednesday: U

• Thursday: V

• Friday: T

• Saturday: Q

• Sunday: R

Let's check all conditions for this schedule:

1. U is on Wednesday — Satisfied.

2. Only one person between U (Wednesday) and T (Friday) — Satisfied (V is on Thursday).

3. Only three persons between T (Friday) and S (Monday) — Satisfied (P, U, V are between them).

4. Q goes immediately before R (Saturday and Sunday) — Satisfied.

5. V goes after P (Thursday is after Tuesday), and neither P nor V goes before S (both are after Monday) — Satisfied.

Therefore, P goes to the picnic on Tuesday.