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Question

Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. T has the exam on Tuesday. Only two people have exams between R and T. P has the exam immediately after S but not on Sunday. Q has the exam before V but not on Monday. 

How many people have exams between U and P?

The correct answer is
Two

Solution: Number of people between U and P

Step 1: Days of the week

Monday (1) to Sunday (7)

Step 2: Given conditions

  • T is on Tuesday → T = 2
  • Only two people between R and T → R = 5 (Friday)
  • P is immediately after S
  • P is not on Sunday
  • Q is before V and Q is not on Monday

Step 3: Arrange P and S

Possible consecutive pairs: (3,4) and (6,7)
But P is not on Sunday → so (6,7) is not possible

So: 
S = 3 (Wednesday) 
P = 4 (Thursday)

Step 4: Remaining arrangement

  • U = 1 (Monday)
  • Q = 6 (Saturday)
  • V = 7 (Sunday)

Final Arrangement

DayPerson
MondayU
TuesdayT
WednesdayS
ThursdayP
FridayR
SaturdayQ
SundayV

Step 5: Final Answer

U = Monday (1) and P = Thursday (4)
People between them: T (2) and S (3)
Answer: two

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Important Questions from Scheduling Puzzle

  1. P, Q, R, S, T, U and V have an exam on different days of the week starting on Monday and ending on Sunday. Q has an exam on Friday. Exactly 3 people have an exam between R and T, neither of whom has on exam on Sunday. P has an exam immediately after U. V has an exam immediately before T. Who among the following has an exam on Wednesday?
  2. Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. V has an exam on Tuesday. Exactly 2 people have an exam between V and P. S has an exam immediately before T, and Q has an exam immediately after R. Only 1 person has an exam between T and R
    How many people have an exam before S?

  3. Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Only five people have exams between T and Q. U has an exam on Thursday. S has an exam immediately after Q. R has an exam immediately after P. How many people have exams between V and T?

  4. P, Q, R, S, T, U and V have an exam on different days of the week starting on Monday and ending on Sunday. Q has an exam on Wednesday. Exactly 4 people have an exam between T and U, neither of whom has an exam on Monday. R has an exam immediately before S and V has an exam immediately after S. P has an exam immediately before T.
    How many people have an exam between P and R?

  5. Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. V has an exam on Thursday. Exactly 4 people have their exams between U and Q, neither of whom has an exam on Sunday. T has an exam immediately before S. R does not have an exam on Friday. U does not have an exam after S. How many people have exams after Q?
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