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
- 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?
