Each of P, Q, R, S, T, U and V has an exam on a different day of the week starting on Monday and ending on Sunday of the same week. V has an exam on Friday. Only two people have an exam between Q and V. Only four people have an exam between R and Q. S has an exam immediately after T. P does not have an exam on Monday. Who has an exam on Sunday?
Deconstructing the Exam Schedule Logic Puzzle
This problem requires us to determine the exam schedule for seven people (P, Q, R, S, T, U, V) across seven days (Monday to Sunday) based on several conditions. We need to find out who has the exam on Sunday.
Establishing the Timeline and Fixed Points
First, let's list the days of the week in order:
- Monday
- Tuesday
- Wednesday
- Thursday
- Friday
- Saturday
- Sunday
The puzzle gives us a fixed point: V has an exam on Friday.
Let's represent this visually:
| Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
| V |
Applying the 'Between' Constraints
We are told that only two people have an exam between Q and V. Since V is on Friday, let's see where Q can fit:
- If Q was after V, the days would be V (Fri), Sat, Sun. There's only one day (Saturday) between them. This doesn't fit the condition of two people.
- Therefore, Q must be before V. The arrangement must be Q, Day1, Day2, V. The days between Q and V are Day1 and Day2.
- Given V is on Friday, placing two days (Wednesday, Thursday) between Q and V means Q must be on Tuesday.
Updating the schedule:
| Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
| Q | V |
Next, only four people have an exam between R and Q.
- Q is on Tuesday.
- If R was before Q, there aren't four days before Tuesday (only Monday).
- So, R must be after Q. The sequence would be Q, Day1, Day2, Day3, Day4, R.
- Counting forward from Q (Tuesday): Wed (1), Thu (2), Fri (3), Sat (4). This means R must be on the day after Saturday, which is Sunday.
The schedule now looks like this:
| Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
| Q | V | R |
Placing the TS Pair and P
We know that S has an exam immediately after T. This means they form a 'TS' block.
Looking at the available slots (Monday, Wednesday, Thursday, Saturday):
- Can TS be (Mon, Tue)? No, Q is on Tue.
- Can TS be (Wed, Thu)? Yes, these slots are free.
- Can TS be (Thu, Fri)? No, V is on Fri.
- Can TS be (Sat, Sun)? No, R is on Sun.
Therefore, T must be on Wednesday and S must be on Thursday.
Updating the schedule:
| Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
| Q | T | S | V | R |
The remaining people are P and U. The remaining days are Monday and Saturday.
The constraint is P does not have an exam on Monday.
- This means P cannot be on Monday.
- P must take the remaining available slot, which is Saturday.
- U must take the last remaining slot, which is Monday.
Final Exam Schedule
The complete schedule is determined:
| Day | Person |
| Monday | U |
| Tuesday | Q |
| Wednesday | T |
| Thursday | S |
| Friday | V |
| Saturday | P |
| Sunday | R |
Determining the Sunday Exam Holder
Based on the final deduced schedule, R has the exam on Sunday.
Important Questions from Seating Arrangement (Notes)
Read the directions carefully and give the answer from the given options.
P, Q, R, S, T, K, L, M and N are sitting around a circle facing the centre.
K is $4^{th}$ to the right of P and P is $3^{rd}$ to the right of Q.
N is $4^{th}$ to the left of Q and $3^{rd}$ to the right of S.
R is $2^{nd}$ to the right of M and M is the immediate neighbour of P.
T is $2^{nd}$ to the left of L.
Who is to the immediate left of K?
Seven people, F, J, M, L, R, V and X, are sitting in a row, facing north.
Only three people sit to the left of X. Only M sits to the right of R. Only three people sit between R and V. J sits at some place to the left of L but at some place to the right of F.
How many people sit to the left of V?Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. Only A is kept above F. Only D is kept between F and C. Only E is kept below B. How many boxes are kept below C?
P, Q, R, S, T, U and V are sitting in a row, facing north. No one sits to the left of U. Only four people sit between U and R. Only three people sit to the right of V. P sits to the immediate left of S. Q is not an immediate neighbour of V. How many people sit between P and T?
Six people, B, C, D, I, J and K, are sitting around a circular table facing the centre. Only two people sit between B and I when counted from the right of I. K sits to the immediate left of J. I sits to the immediate right of C. Who among the following are the immediate neighbours of D?
