This problem requires us to determine Chetu's exam day based on a set of conditions about the exam schedule for seven people.
Scheduling the Exam Days
We have seven people (Akarsh, Bindu, Chetu, Divyansh, Ekam, Fatima, Gudiya) and seven days (Monday to Sunday). Let's denote the days by their first letter: M, Tu, W, Th, F, Sa, Su.
Step 1: Place Gudiya and Ekam
- Gudiya (G) has an exam on Sunday (Su).
- Only one person has an exam after Ekam (E). This means Ekam must be on Saturday (Sa).
Current Schedule:
| Mon | Tue | Wed | Thu | Fri | Sat | Sun |
| E | G |
Step 2: Place Akarsh
- Only two people have exams before Akarsh (A). This means Akarsh is on Wednesday (W).
Updated Schedule:
| Mon | Tue | Wed | Thu | Fri | Sat | Sun |
| A | E | G |
Step 3: Place Bindu, Divyansh, and Gudiya
- Bindu (B) has an exam immediately before Divyansh (D), forming a 'BD' block.
- Only one person has an exam between Divyansh (D) and Gudiya (G). Since G is on Sunday, the sequence must be D, X, G.
- This implies D is on Friday (F) and the person X is on Saturday (Sa). However, E is already on Saturday. This configuration (D, X, G) doesn't fit directly after placing E and G. Let's re-evaluate.
- The constraint means there's exactly one day slot between D's day and G's day. G is Sunday. The day before Sunday is Saturday (E). The day before Saturday is Friday. The day before Friday is Thursday.
- If D is on Thursday (Th), then Friday is between D and G. This doesn't fit as E is on Saturday.
- Let's reconsider the "one person between D and G" constraint with G on Sunday. The sequence must be D _ G. So, D must be on Friday and Saturday must be between D and G. But E is on Saturday. This implies the sequence is D (Friday), E (Saturday), G (Sunday).
- Place D on Friday (F).
- Since B is immediately before D, B must be on Thursday (Th).
Updated Schedule:
| Mon | Tue | Wed | Thu | Fri | Sat | Sun |
| A | B | D | E | G |
Step 4: Place Chetu
- The remaining people are Chetu (C) and Fatima (F).
- The remaining days are Monday (M) and Tuesday (Tu).
- Chetu's (C) exam is not on the first day (Monday).
- Therefore, Chetu (C) must have the exam on Tuesday (Tu).
- Fatima (F) has the exam on Monday (M).
Final Schedule
| Mon | Tue | Wed | Thu | Fri | Sat | Sun |
| F | C | A | B | D | E | G |
Based on this schedule, Chetu has the exam on Tuesday.
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?
