Question Details

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 prepared the least number of dishes?

Options

A

P

B

V

C

R

D

None of these

Show Answer

Correct Answer :

Option A

P

P

Solution :

To find who prepared the least number of dishes, let us reconstruct the schedule from Monday to Sunday using the given clues step-by-step:

1. Determine the days of attendance:
- Q attended on Wednesday.
- V attended on Friday.
- S attended on Sunday and prepared the 2nd most dishes.
- T and the person who prepared the 2nd most dishes (S) attended on consecutive days. Since S attended on Sunday, T must have attended on Saturday.

2. Determine the positions of P, R, and U:
- There are three days remaining for the other three friends (P, R, and U): Monday, Tuesday, and Thursday.
- There were 2 people between R and the person who prepared 6 dishes. If R is on Monday, the person with 6 dishes must be on Thursday. If R is on Tuesday, the person with 6 dishes must be on Friday (V). But the person who prepared the least dishes attended immediately after R. If R were on Tuesday, the person with the least dishes would be on Wednesday (Q), which contradicts the fact that Q prepared the most dishes. Therefore, R must be on Monday.
- This means the person who prepared 6 dishes is on Thursday (U), and the person who prepared the least dishes attended on Tuesday (immediately after R). Thus, P must be on Tuesday, leaving U to attend on Thursday.

3. Establish the schedule of days:
- Monday: R
- Tuesday: P (least dishes)
- Wednesday: Q (most dishes)
- Thursday: U (6 dishes)
- Friday: V
- Saturday: T
- Sunday: S (2nd most dishes)

4. Determine the number of dishes prepared by each person:
- P attended immediately after the person who prepared 9 dishes. Since P attended on Tuesday, the person on Monday (R) prepared 9 dishes.
- The person who prepared 10 dishes attended immediately before the person who prepared 8 dishes. The only consecutive days available for this sequence (10 followed by 8) are Friday and Saturday. Thus, V (Friday) prepared 10 dishes, and T (Saturday) prepared 8 dishes.
- We are given that T prepared 6 dishes more than P:
T = P + 6
Substituting T = 8:
8 = P + 6
P = 2
- We are also given that Q prepared 5 dishes more than T:
Q = T + 5 = 8 + 5 = 13
- Since S prepared the 2nd most dishes, and Q (13) prepared the most, the number of dishes for S must be between 10 (prepared by V) and 13 (prepared by Q).
- Using the rule that only one person prepared half the number of dishes of another, we find that U (6 dishes) is half of S (12 dishes). This satisfies all conditions perfectly.

Comparing the dishes prepared by everyone:
- P: 2 dishes
- U: 6 dishes
- T: 8 dishes
- R: 9 dishes
- V: 10 dishes
- S: 12 dishes
- Q: 13 dishes

Therefore, P prepared the least number of dishes (2 dishes).

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