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 analyze the given information step-by-step to determine the schedule of presentations for all seven students (A, B, C, D, E, F, G) from Monday to Sunday:
1. Identify the fixed days and details given directly:
• The seven days of the week in order are: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday.
• A presents History on Monday.
• F presents Geography on Saturday.
2. Determine E's schedule:
• Three presentations are scheduled between A (Monday) and E.
• Counting 3 days after Monday (Tuesday, Wednesday, Thursday), E presents on Friday.
• E presents Music on Friday.
3. Determine B's schedule:
• The number of students presenting before B is equal to the number of students presenting after F (Saturday).
• Since F presents on Saturday, exactly 1 student presents after F (on Sunday).
• Therefore, exactly 1 student must present before B, which means B presents on Tuesday.
4. Determine the Civics presentation day:
• Four students present between B (Tuesday) and the one who presents Civics.
• Counting 4 days after Tuesday (Wednesday, Thursday, Friday, Saturday), the Civics presentation is on Sunday.
5. Determine C and D's schedule and the remaining subjects:
• C presents immediately before D (who presents Art). So, C and D must be on consecutive days: C followed by D.
• Looking at the available days: Wednesday and Thursday are free.
• Therefore, C presents on Wednesday and D presents Art on Thursday.
• We are given that C presents immediately after the one who presents Math. Since C presents on Wednesday, the Math presentation must be on Tuesday (presented by B).
• The remaining student G presents Science on Sunday.
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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