Directions (25-29): Study the information carefully and answer the questions given below.
Seven friends - P, Q, R, S, T, U, and V - went to attend a cooking class for a week from Monday to Sunday, not necessarily in the same order. Each person prepared a different number of dishes during these classes.
Q prepared the most dishes. The person who prepared the least dishes attended immediately after R. S prepared the 2ndmost dishes and attended on Sunday. T and the person who prepared the second-most dishes attended on consecutive days. Q prepared 5 dishes more than T who prepared 6 dishes more than P. P attended the classes immediately after the person who prepared 9 dishes. The person who prepared 10 dishes attended immediately before the person who prepared 8 dishes. Q attended on Wednesday, while V attended on Friday. There were 2 people between R and the person who prepared 6 dishes. Only One person prepared half number of dishes than the other one.
Who attended the cooking class on two days after P?
Correct Answer :
U
Solution :
To determine who attended the cooking class two days after P, we need to analyze the given puzzle clues step-by-step and reconstruct the schedule from Monday to Sunday, along with the number of dishes prepared by each person.
Step 1: Identify the Days of the Week and Fixed Placements
We have seven days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
Let us place the direct information given:
- Q attended on Wednesday.
- V attended on Friday.
- S attended on Sunday and prepared the second-most dishes.
This gives us the initial schedule:
- Monday: _
- Tuesday: _
- Wednesday: Q
- Thursday: _
- Friday: V
- Saturday: _
- Sunday: S (2nd most dishes)
Step 2: Place T and the 2nd Most Dishes (S)
S attended on Sunday. The clue says: "T and the person who prepared the second-most dishes attended on consecutive days."
Since S is on Sunday, T must have attended on Saturday (the only day consecutive to Sunday that is not Sunday itself).
Step 3: Analyze the Dishes and Relations
Let the number of dishes prepared by Q, S, T, P be , , , respectively.
We are given:
- Q prepared the most dishes.
- S prepared the 2nd most dishes.
- Q prepared 5 dishes more than T: .
- T prepared 6 dishes more than P: .
Therefore, .
Let's look at the clue: "P attended the classes immediately after the person who prepared 9 dishes."
And: "The person who prepared 10 dishes attended immediately before the person who prepared 8 dishes."
Also: "There were 2 people between R and the person who prepared 6 dishes."
Step 4: Place P and R on the Schedule
Currently, we have:
- Mon: _
- Tue: _
- Wed: Q
- Thu: _
- Fri: V
- Sat: T
- Sun: S
P attended immediately after the person who prepared 9 dishes. So P cannot be on Monday. Also, since Wed (Q), Fri (V), Sat (T), and Sun (S) are occupied, the possible positions for P are:
- If P is on Tuesday, then the person on Monday prepared 9 dishes.
- If P is on Thursday, then the person on Wednesday (Q) prepared 9 dishes. But Q prepared the most dishes, and we know there are dishes of count 10, so Q's count must be greater than 10. Thus, Q cannot be 9. So P is not on Thursday.
Therefore, P must be on Tuesday, and the person who attended on Monday prepared 9 dishes.
Step 5: Place the Remaining Persons
The schedule is now:
- Mon: _ (9 dishes)
- Tue: P
- Wed: Q
- Thu: _
- Fri: V
- Sat: T
- Sun: S
The remaining empty slots for persons are Monday and Thursday. The remaining persons to place are R and U.
Let us find the position of R:
- If R is on Monday: "The person who prepared the least dishes attended immediately after R." This would mean the person on Tuesday (P) prepared the least dishes.
- If R is on Thursday: "The person who prepared the least dishes attended immediately after R." This would mean the person on Friday (V) prepared the least dishes.
Let's check the clue: "There were 2 people between R and the person who prepared 6 dishes."
- If R is on Monday, then the person who prepared 6 dishes must be on Thursday (2 days between Mon and Thu are Tue and Wed).
- If R is on Thursday, the person who prepared 6 dishes must be on Monday (2 days between Thu and Mon are Tue and Wed). But we already know the person on Monday prepared 9 dishes (not 6). Therefore, R cannot be on Thursday.
Thus, R must be on Monday (preparing 9 dishes), and U must be on Thursday.
The person who prepared 6 dishes is on Thursday (which is U).
Step 6: Answer the Target Question
We need to find who attended the cooking class on two days after P.
- P attended on Tuesday.
- Two days after Tuesday (Tuesday + 2 days) is Thursday.
- The person who attended on Thursday is U.
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