Study the given information carefully and answer the questions given below.
Seven students—A, B, C, D, E, F, and G—give presentations on seven different subjects: History, Math, Science, Art, Music, Geography, and Civics, from Monday to Sunday. A presents History on Monday. Three presentations are scheduled between A and E, who presents Music. The number of students presenting before B is the same as the number of students presenting after F, who presents Geography on Saturday. Four students present between B and the one who presents Civics. C presents immediately after the one who presents Math, and immediately before D, who presents Art.
On which day is the Math presentation scheduled?
Correct Answer :
Tuesday
Solution :
The correct option is Tuesday.
Let's deduce the presentation schedule step-by-step from Monday to Sunday using the given information:
1. Day and Initial Assignments:
- The days are Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday.
- A presents History on Monday.
- F presents Geography on Saturday.
2. Position of E:
- Three presentations are scheduled between A and E.
- Since A is on Monday (Day 1), placing 3 days between them (Tuesday, Wednesday, Thursday) puts E on Friday (Day 5).
- E presents Music on Friday.
3. Position of B:
- The number of students presenting before B is equal to the number of students presenting after F.
- F is on Saturday (Day 6), so exactly 1 student presents after F (on Sunday).
- Therefore, exactly 1 student must present before B, which means B presents on Tuesday.
4. Position of Civics:
- Four students present between B (Tuesday, Day 2) and the one who presents Civics.
- Counting four days after Tuesday (Wednesday, Thursday, Friday, Saturday), the student on Sunday (Day 7) presents Civics.
5. Positions of C, D, and Math:
- C presents immediately after the one who presents Math, and immediately before D, who presents Art.
- This forms a continuous sequence: [Math] → [C] → [D (Art)].
- Looking at the available days: Monday (A-History), Tuesday (B-?), Wednesday (Free), Thursday (Free), Friday (E-Music), Saturday (F-Geography), Sunday (?-Civics).
- The only consecutive sequence of days available for Math, C, and D is Tuesday, Wednesday, and Thursday:
• Tuesday: B presents Math.
• Wednesday: C presents Science (the remaining subject).
• Thursday: D presents Art.
• Sunday: G presents Civics (G is the remaining student).
Final Schedule Summary:
• Monday: A - History
• Tuesday: B - Math
• Wednesday: C - Science
• Thursday: D - Art
• Friday: E - Music
• Saturday: F - Geography
• Sunday: G - Civics
Thus, the Math presentation is scheduled on Tuesday.
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