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
- P, Q, R, S, T, U and V have an exam on different days of the week starting on Monday and ending on Sunday. Q has an exam on Friday. Exactly 3 people have an exam between R and T, neither of whom has on exam on Sunday. P has an exam immediately after U. V has an exam immediately before T. Who among the following has an exam on Wednesday?
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. V has an exam on Tuesday. Exactly 2 people have an exam between V and P. S has an exam immediately before T, and Q has an exam immediately after R. Only 1 person has an exam between T and R
How many people have an exam before S?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. Only five people have exams between T and Q. U has an exam on Thursday. S has an exam immediately after Q. R has an exam immediately after P. How many people have exams between V and T?
P, Q, R, S, T, U and V have an exam on different days of the week starting on Monday and ending on Sunday. Q has an exam on Wednesday. Exactly 4 people have an exam between T and U, neither of whom has an exam on Monday. R has an exam immediately before S and V has an exam immediately after S. P has an exam immediately before T.
How many people have an exam between P and R?- 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. V has an exam on Thursday. Exactly 4 people have their exams between U and Q, neither of whom has an exam on Sunday. T has an exam immediately before S. R does not have an exam on Friday. U does not have an exam after S. How many people have exams after Q?
