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 the picnic on Sunday?
Correct Answer :
R
Solution :
The correct option is R.
Step-by-Step Logic & Derivation:
1. Understand the Days of the Week:
The week starts on Monday and ends on Sunday in the following sequence:
1. Monday
2. Tuesday
3. Wednesday
4. Thursday
5. Friday
6. Saturday
7. Sunday
2. Place Fixed & Given Positions:
- "U goes to the picnic on Wednesday."
So, Wednesday = U.
- "Only one person goes between U and T."
This gives two potential cases for T:
Case 1: T goes on Monday (one person, Tuesday, between Monday and Wednesday).
Case 2: T goes on Friday (one person, Thursday, between Wednesday and Friday).
- "Only three persons go between T and S."
Let's check both cases:
In Case 1 (T is on Monday): 3 persons go between Monday and Friday (Tuesday, Wednesday, Thursday). Thus, S must be on Friday.
In Case 2 (T is on Friday): 3 persons go between Friday and Monday (Thursday, Wednesday, Tuesday). Thus, S must be on Monday.
- "V goes to the picnic after P but none of them go before S."
This means both P and V go after S. Therefore, S cannot be on Friday, because if S were on Friday, there would only be Saturday and Sunday left for P, V, Q, and R, which is impossible.
Hence, Case 1 is invalid, and Case 2 is correct:
S = Monday
U = Wednesday
T = Friday
3. Place the Remaining Persons (P, Q, R, V):
The remaining available days are Tuesday, Thursday, Saturday, and Sunday.
- "Q goes immediately before R."
This requires two consecutive empty days. Looking at the remaining open days (Tuesday, Thursday, Saturday, Sunday), the only available consecutive pair of days is Saturday and Sunday.
Therefore:
Saturday = Q
Sunday = R
- Now we are left with Tuesday and Thursday for P and V.
Since "V goes to the picnic after P", P must go before V:
Tuesday = P
Thursday = V
4. Final Schedule:
- Monday: S
- Tuesday: P
- Wednesday: U
- Thursday: V
- Friday: T
- Saturday: Q
- Sunday: R
Therefore, R goes to the picnic on Sunday.
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