Each of L, A, Y, E, R, S and T has an exam on a different day of the same…
2026
Each of L, A, Y, E, R, S and T has an exam on a different day of the same week, from Monday through Sunday. Only two people have exams before E. Only one person has an exam after L. Only three people have exams between E and T. Only one person has an exam between A and S. R has an exam immediately before A. How many people have exams between Y and A?
Answer: B. Two — ConceptIn a one-to-one linear schedule, assign each day a fixed position and translate every clue into a position equation or distance constraint. If exactly…
- A.
Four
- B.
Two
- C.
One
- D.
Three
Attempted by 33 students.
Show answer & explanation
Correct answer: B
Concept
In a one-to-one linear schedule, assign each day a fixed position and translate every clue into a position equation or distance constraint.
If exactly k people are between two people, their positions differ by k + 1. Immediate-before means a difference of one with a fixed order.
Application
Number Monday through Sunday as positions 1 through 7.
Two exams occur before E, so E is at position 3, Wednesday.
One exam occurs after L, so L is at position 6, Saturday.
Three people are between E and T, so their positions differ by 4. From E at position 3, T must be at position 7, Sunday.
The unfilled positions are 1, 2, 4, and 5 for R, A, S, and Y. Because R is immediately before A, the only workable consecutive pair is R at 1 and A at 2; a pair at 4 and 5 would leave no available position two places from A for S.
One person is between A and S, so S is at position 4. The remaining position 5 belongs to Y.
Day | Person |
|---|---|
Monday | R |
Tuesday | A |
Wednesday | E |
Thursday | S |
Friday | Y |
Saturday | L |
Sunday | T |
Cross-check
E has exactly two exams before it; L has exactly one exam after it; and E and T have exactly three people between them.
A and S have exactly one person between them, and R is immediately before A, so every clue is satisfied.
A is on Tuesday and Y is on Friday. Wednesday and Thursday lie between them, so two people have exams between Y and A.