Question Details

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?

Options

A

V goes on Friday

B

P goes two days before V

C

Only two persons go to the picnic between Q and R

D

Q goes on Sunday

Show Answer

Correct Answer :

Option B

P goes two days before V

Solution :

The correct answer is P goes two days before V.

Let's determine the schedule for the seven persons (P, Q, R, S, T, U, V) from Monday to Sunday step-by-step based on the given clues:
1. U goes to the picnic on Wednesday.
So, Wednesday = U.

2. Only one person goes between U and T.
This gives two possibilities for T:
- Possibility 1: T goes on Monday (one person, Tuesday, between Wednesday and Monday).
- Possibility 2: T goes on Friday (one person, Thursday, between Wednesday and Friday).

3. Only three persons go between T and S.
Let's test both possibilities:
- If T is on Monday (Possibility 1), then placing 3 persons between T and S (Tuesday, Wednesday, Thursday) places S on Friday.
- If T is on Friday (Possibility 2), 3 persons between T and S would mean S goes 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 picnic after S (or starting on S's day or later). Specifically, neither P nor V can go before S.
- If S is on Friday (Possibility 1), there are only two days left after S: Saturday and Sunday. Therefore, P must be on Saturday and V must be on Sunday.
- If S is on Monday (Possibility 2), S is on the very first day. But let's check the remaining clue for both possibilities.

5. Q goes immediately before R.
This means Q and R must occupy two consecutive available days (Q then R).
- In Possibility 1:
Wednesday = U
Monday = T
Friday = S
Saturday = P, Sunday = V
The remaining empty days are Tuesday and Thursday. These are not consecutive days! So Q and R cannot be placed immediately adjacent to each other. Thus, Possibility 1 is invalid.

- In Possibility 2:
Wednesday = U
Friday = T
Monday = S
The available remaining days are Tuesday, Thursday, Saturday, and Sunday.
To place Q immediately before R, they must take consecutive open days. The only available consecutive days are Saturday and Sunday!
So, Saturday = Q and Sunday = R.
Now, the remaining days for P and V are Tuesday and Thursday.
Since V goes after P, P must go on Tuesday and V must go on Thursday.

Let's verify the complete schedule for Possibility 2:
- Monday: S
- Tuesday: P
- Wednesday: U
- Thursday: V
- Friday: T
- Saturday: Q
- Sunday: R

All conditions are satisfied:
- U is on Wednesday.
- One person (P) between U and T.
- Three persons (P, U, V) between S and T.
- Q goes immediately before R (Saturday and Sunday).
- V (Thursday) goes after P (Tuesday), and neither goes before S (Monday).

Now let's evaluate the given options:
- V goes on Friday: False (V goes on Thursday).
- P goes two days before V: True (P goes on Tuesday, which is 2 days before Thursday).
- Only two persons go to the picnic between Q and R: False (0 persons go between Q and R).
- Q goes on Sunday: False (Q goes on Saturday).

Therefore, the statement "P goes two days before V" is true.

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