Skip to main contentSkip to solution

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.

U has an exam on Thursday. Only one person has exam between P and U. T has an exam immediately after P. As many people have an exam before T as after S. Q has an exam immediately after V but not on Sunday.

How many people have an exam between R and V?

Solution

✅ Correct Option: 1

Since U has an exam on Thursday, let's work from there.

Only one person has exam between P and U:

This means P is either 2 days before or 2 days after Thursday:

  • P could be on Tuesday (one person on Wednesday between them)
  • P could be on Saturday (one person on Friday between them)

T has an exam immediately after P:

  • If P is Tuesday → T is Wednesday
  • If P is Saturday → T is Sunday

As many people have an exam before T as after S:

Testing when P = Tuesday, T = Wednesday:

  • T is on day 3 → 2 people before T
  • So 2 people should be after S → S is on day 5 (Friday)

Testing when P = Saturday, T = Sunday:

  • T is on day 7 → 6 people before T
  • So 6 people should be after S → S is on day 1 (Monday)

Q has an exam immediately after V but not on Sunday:

With P = Tuesday, T = Wednesday, U = Thursday, S = Friday:

  • Remaining days: Monday, Saturday, Sunday
  • V and Q must be consecutive, Q ≠ Sunday
  • This is impossible with the remaining days ✗

With P = Saturday, T = Sunday, U = Thursday, S = Monday:

  • Remaining days: Tuesday, Wednesday, Friday
  • V and Q must be consecutive, Q ≠ Sunday
  • V = Tuesday, Q = Wednesday ✓
  • R = Friday (only person left)
DayPerson
MondayS
TuesdayV
WednesdayQ
ThursdayU
FridayR
SaturdayP
SundayT

Between R (Friday) and V (Tuesday), the people with exams are:

  • Wednesday: Q
  • Thursday: U

Two people have an exam between R and V.

Answer: Option 1

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question