Exam Scheduling Logic Puzzle Solution
This solution determines the number of people with exams between A and D based on the given weekly scheduling constraints.
Analyzing the Constraints
- Seven people (A, B, C, D, S, T, U) have exams on separate days, Monday through Sunday.
- Fixed placements: S is on Thursday, U is on Saturday.
- Adjacent placements: T is immediately before B, and D is immediately after B. This creates a fixed TBD sequence.
- Order constraint: C's exam day precedes A's exam day.
Constructing the Weekly Schedule
We build the schedule logically:
- Initial layout: Mon, Tue, Wed, Thu, Fri, Sat, Sun.
- Place fixed exams: S on Thursday, U on Saturday. The week currently looks like: \(_ _ _ S _ U _\)
- Place the TBD sequence: This requires three consecutive empty slots. The only available consecutive slots are Monday, Tuesday, Wednesday. Thus:
- Monday: T
- Tuesday: B
- Wednesday: D
- Place remaining people (A, C): The remaining days are Friday and Sunday. Applying the constraint that C must be scheduled before A, we get:
- Friday: C
- Sunday: A
Final Exam Schedule
| Mon | Tue | Wed | Thu | Fri | Sat | Sun |
| T | B | D | S | C | U | A |
Determining Exams Between A and D
From the schedule, identify the exam days for A and D:
- A's exam is on Sunday.
- D's exam is on Wednesday.
The days that fall strictly between Wednesday and Sunday are Thursday, Friday, and Saturday.
The individuals scheduled on these days are:
- Thursday: S
- Friday: C
- Saturday: U
Counting these individuals, there are 3 people with exams between A and D.
Similar Questions
- Each of G, J, M, O, R, S and T has an exam on a different day of a week, starting from Monday and ending on Sunday of the same week.
Only three people have exams between O and S. Only three people have exams between G and J. T has an exam on some day before R and on some day after M. Only J has an exam after S.
Who has an exam on Thursday? - 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. R has an exam on Friday. Only 2 people have an exam between R and Q. S has an exam immediately before U and P has an exam immediately after V. Only 2 people have an exam between T and U.
Who has an exam on Monday? - Each of G, J, M, O, R, S, and T has an exam on a different day of a week, starting from Monday and ending on Sunday of the same week.
Only three people have exams between O and S. S has an exam on the last day of the week. Only one person has an exam between G and J. T has an exam immediately the day before M. R doesn't have an exam on Friday. J has an exam before G.
Who has an exam on Tuesday? - Each of A, C, I, M, O, Q and W has an exam on a different day of a week starting from Monday and ending on Sunday of the same week.
M has an exam on Thursday. Exactly 4 people have their exams between O and A, neither of whom has an exam on Sunday. Q has an exam immediately before C. I does not have an exam on Friday. O does not have an exam after C.
How many people have exams after A? - Each of A, B, C, D, E, F and G play a game on a different day of a week starting from Monday and ending on Sunday of the same week. B plays the game on Wednesday. Only three persons play between B and F. Only one person plays between C and F. A plays immediately before D. G does not play immediately after B. On which day does A play the game?
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Only two people live between Y and H. Only two people live between G and S. No one lives above G. H lives below S but above P.
How many people live below A? - Seven boxes, U, V, O, P, Q, R and S, are kept one over the other but not necessarily in the same order. Q is kept second from the top. Only two boxes are kept between Q and R. S is kept immediately below Q. Only one box is kept between P and S. V is kept immediately above U. Which box is third from the top?
- If a rope 84 m long is divided in the ratio 7 : 5, then the length of the longer piece (in m ) is:
Important Questions from Puzzle
Seven friends O, P, Q, R, S, T and U are watching a movie sitting in a row. S is sitting at one extreme end. P is sitting second to the right of S. P is sitting between O and Q. U is NOT sitting at any extreme end. R Is sitting to the immediate left of T. Q does not sit beside S.Who is sitting at the extreme left end?
What should come in place of the question mark (?) in the given series?
86, 88, 90, 92, 94, ?G, H, J, K, L and P live on six different floors of the same building. The lowest floor in the building is numbered 1, the floor above it, number 2 and so on till the topmost floor is numbered 6. Only two people live between P and K. Only two people live between P and H. No one lives above P. K lives below H, but above L. How many people live below G?
Seven students, Q, R, S, T, W, X and Y, are sitting in a straight line facing north. Only two people sit to the right of W. Only two people sit between W and X. Only two people sit between Y and R. R sits to the immediate left of W. S sits to the immediate right of Q. How many people sit between S and T?
R, A, D, I, U and S live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on, till the topmost floor is numbered 6. Only two people live between I and U. Only A lives above R. D lives on an even numbered floor. I lives on the lowermost floor. How many people live between S and A?
