All Exams Test series for 1 year @ ₹349 only
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.
Only four people have exams after V. Only four people have exams before S. P has the exam after R but before V. T has the exam on some day after Q but not on Sunday.
How many people have exams between Q and U?

The correct answer is
Two

Schedule Constraints Analysis

We need to arrange 7 people (P, Q, R, S, T, U, V) for exams on 7 different days, from Monday to Sunday.

  • 4 people after V: This constraint means V's exam must be on Wednesday. Only Thursday, Friday, Saturday, and Sunday are after Wednesday, accounting for 4 days.
  • 4 people before S: This implies S's exam must be on Friday. Monday, Tuesday, Wednesday, and Thursday precede Friday, totaling 4 days.

Current Schedule Snapshot:

Monday: ?, Tuesday: ?, Wednesday: V, Thursday: ?, Friday: S, Saturday: ?, Sunday: ?

Determine Exam Order

P after R but before V: The condition is \( R < P < V \). Since V is on Wednesday, R and P must take the earlier available slots. R must be on Monday and P on Tuesday to satisfy this order.

Updated Schedule: Monday: R, Tuesday: P, Wednesday: V, Thursday: ?, Friday: S, Saturday: ?, Sunday: ?

T after Q, not on Sunday: The remaining people are Q, T, and U. The available days are Thursday, Saturday, and Sunday.

  • T's exam cannot be on Sunday.
  • Q's exam must occur before T's exam.
  • Given the available days (Thursday, Saturday, Sunday), Q must take Thursday, and T must take Saturday.
  • This leaves Sunday for the last person, U.

Final Exam Order:

  1. Monday: R
  2. Tuesday: P
  3. Wednesday: V
  4. Thursday: Q
  5. Friday: S
  6. Saturday: T
  7. Sunday: U

Calculate Exams Between Q and U

Q's exam is scheduled for Thursday.

U's exam is scheduled for Sunday.

The exams occurring between Thursday and Sunday are on Friday (S) and Saturday (T).

Counting these individuals, there are 2 people with exams scheduled between Q and U.

Was this answer helpful?

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?
Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App