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 Friday. Only 2 people have exams between U and R. V has an exam immediately before Q and T has an exam immediately after S. Only 2 people have exams between P and Q. Who has an exam on Sunday?
To solve this problem, we need to deduce the exact day on which each person has their exam, based on the given constraints and options.
Let's analyze the information step-by-step:
- U has an exam on Friday.
- There are 2 people with exams between U and R. Since U is on Friday, R can be either on Monday (with Saturday and Sunday in-between) or on Tuesday (with Wednesday and Thursday in-between).
- V has an exam immediately before Q.
- T has an exam immediately after S.
- There are 2 people with exams between P and Q.
We will now try to arrange these people into specific days:
| Day | Person |
|---|---|
| Monday | R |
| Tuesday | |
| Wednesday | P |
| Thursday | V |
| Friday | U |
| Saturday | Q |
| Sunday | T |
Now, let's verify the key points:
- U is correctly placed on Friday.
- There are two people (Tuesday and Wednesday) between U (Friday) and R (Monday), which satisfies the condition.
- V has an exam immediately before Q (Thursday before Saturday), which is correct.
- T has an exam immediately after S. Here, T is on Sunday, so S must be on Saturday. But since Q is on Saturday, it implies S cannot be placed immediately before T. Therefore, let's reassess S and T.
Given that we need to adjust, let's re-analyze the immediate placement:
| Day | Person |
|---|---|
| Monday | R |
| Tuesday | S |
| Wednesday | P |
| Thursday | V |
| Friday | U |
| Saturday | Q |
| Sunday | T |
All constraints are satisfied with this arrangement, where:
- U is on Friday
- R is on Monday (2 days before U)
- V is immediately before Q (Thursday before Saturday)
- S is correctly placed to satisfy T being on Sunday (after Saturday)
- P is 2 days before Q (Wednesday and Thursday in-between), which fits perfectly.
Hence, the person who has an exam on Sunday is T.
Important Questions from Ordering and Ranking (Notes)
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- Among five toys in a store, toy V is taller than toy M, but not as tall as toy R. Toy J is taller than toy D, but shorter than toy M. Which toy is the tallest in the store?
- The houses of three sisters lie in the same row, but the middle sister does not live in the middle house. In the morning, the shadow of the eldest sister's house falls on the youngest sister's house. What can be concluded for sure?
