G has exam on Friday. Only two people have exams between M and G. Only four people have exams between F and M. N has exam immediately after O. L doesn’t have exam on Monday.
How many people have exams between L and H?
Exam Schedule Logic Puzzle
We need to determine the exam schedule for seven people (F, G, H, L, M, N, O) from Monday to Sunday based on the given conditions.
Step 1: Place G and deduce M's position
G has an exam on Friday.
- Mon, Tue, Wed, Thu, G, Sat, Sun
Only two people have exams between M and G. Since G is on Friday, M cannot be on Monday (which would place 3 people between M and G). Therefore, M must be on Tuesday.
- Mon, M, Wed, Thu, G, Sat, Sun
Step 2: Place F
Only four people have exams between F and M. M is on Tuesday.
- If F were before M, it would require 4 days prior, which isn't possible starting from Monday.
- So, F must be after M. With 4 people between M (Tuesday) and F, F must be on Sunday (Days between: Wed, Thu, Fri, Sat).
- Schedule: Mon, M, Wed, Thu, G, Sat, F
Step 3: Place O and N
N has an exam immediately after O (O, N block).
Possible slots for (O, N) are (Mon, Tue), (Tue, Wed), (Wed, Thu), (Thu, Fri), (Fri, Sat), (Sat, Sun).
From the current schedule (M on Tue, G on Fri, F on Sun), the following slots are blocked:
- (Mon, Tue) - M is on Tue.
- (Tue, Wed) - M is on Tue.
- (Thu, Fri) - G is on Fri.
- (Fri, Sat) - G is on Fri.
- (Sat, Sun) - F is on Sun.
The only remaining slot for (O, N) is (Wednesday, Thursday).
- Schedule: Mon, M, O, N, G, Sat, F
Step 4: Place L and H
The remaining people are L and H. The remaining days are Monday and Saturday.
L doesn’t have an exam on Monday.
- Therefore, L must have an exam on Saturday.
- This leaves H with the exam on Monday.
Final Schedule:
| Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
| H | M | O | N | G | L | F |
Step 5: Calculate People Between L and H
L has an exam on Saturday (Day 6).
H has an exam on Monday (Day 1).
The days between Monday and Saturday are Tuesday, Wednesday, Thursday, and Friday.
The people scheduled on these days are M, O, N, and G.
There are 4 people with exams between L and H.
Important Questions from Scheduling Puzzle
- Each of O, P, Q, R, S, T and U has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. S has an exam on Wednesday. R has an exam on one of the days after P and T has an exam on one of the days before Q. U has an exam immediately after O and S has an exam immediately before O. T has an exam on one of the days after U. How many people have an exam between S and Q?
- Each of C, D, E, F, S, T and U has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. F has the exam on Friday. Only two people have their exams between T and F. Only four people have their exams between E and T. S has the exam immediately after U. D does not have the exam on Monday. How many people have their exams before D and after C?
- Each of M, N, O, P, Q, R and S has an exam on a different day of the week, starting from Monday and ending on Sunday of the same week. S has an exam on Friday. Only two people have exams between S and R. O has an exam immediately before N. M has an exam immediately after P. S has an exam on one of the days after M. On which day does Q have an exam?
- Each of C, D, E, F, S, T and U has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. S has the exam on Thursday and T has the exam on Saturday. F has the exam immediately before U. C has the exam on one of the days after E. D has the exam immediately after U. Who has the exam on the last day of the week?
Each of J, K, L, M, N, O and P has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Only two people have exams before P. Only one person has an exam after L. Only three people have exams between P and J. Only one person has an exam between K and L. O has an exam immediately after M.
How many people have exams between M and N?
