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 attended the cooking class on two days after P?

Options

A

S

B

Q

C

R

D

U

E

T

Show Answer

Correct Answer :

Option D

U

U

Solution :

Step 1: Map the days of the week and place the fixed information.
We have seven days from Monday to Sunday:

  1. Monday
  2. Tuesday
  3. Wednesday
  4. Thursday
  5. Friday
  6. Saturday
  7. Sunday
From the given information:
  • Q attended on Wednesday.
  • V attended on Friday.
  • S attended on Sunday and prepared the second-most dishes.
  • T and the person who prepared the second-most dishes (S) attended on consecutive days. Since S is on Sunday, T must have attended on Saturday.

Step 2: Determine the positions of the remaining friends (P, R, and U).
The remaining days to fill are Monday, Tuesday, and Thursday.

  • We are told that "P attended the classes immediately after the person who prepared 9 dishes." Since Monday is the first day, P cannot be on Monday. Thus, P must be on Tuesday or Thursday.
  • If P attended on Thursday, the person on Wednesday (Q) must have prepared 9 dishes. Since Q prepared the most dishes, Q = 9. Using the relation Q=T+5, we get T=4. Then, using T=P+6, we get P=-2, which is impossible.
  • Therefore, P must have attended on Tuesday, and the person who attended on Monday prepared 9 dishes.
  • We are told: "The person who prepared the least dishes attended immediately after R." Since P (on Tuesday) attended immediately after Monday, the person on Monday must be R (who prepared 9 dishes), and P prepared the least dishes.
  • This leaves Thursday for U.

Step 3: Verify the positions and find the number of dishes.

  • "There were 2 people between R and the person who prepared 6 dishes." R is on Monday, so the person who prepared 6 dishes must be on Thursday, which is U.
  • "The person who prepared 10 dishes attended immediately before the person who prepared 8 dishes." The only consecutive days left with unknown dishes that can accommodate this are Friday and Saturday. Thus, V (Friday) prepared 10 dishes, and T (Saturday) prepared 8 dishes.
  • Using T = 8:
    Q=T+5=8+5=13 dishes (the most).
    P=T-6=8-6=2 dishes (the least).
  • We now have the following dishes: P = 2, U = 6, T = 8, R = 9, V = 10, Q = 13.
  • Since S prepared the second-most dishes (less than Q = 13), and exactly one person prepared half the number of dishes of another, S must have prepared 12 dishes (so that U = 6 is half of S = 12).

Step 4: Answer the question.
P attended the cooking class on Tuesday. Two days after Tuesday (Wednesday, then Thursday) is Thursday.
The person who attended on Thursday is U.

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