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.
How many presentations are scheduled after the student who presents Geography?
Correct Answer :
One
Solution :
The correct option is One.
Step-by-step Explanation:
Let's analyze the given clues step by step to determine the schedule for all seven days (Monday to Sunday):
1. A presents History on Monday.
- Monday: A (History)
2. Three presentations are scheduled between A and E, who presents Music.
- Since A is on Monday (Day 1), placing 3 days between A and E means E presents on Friday (Day 5).
- Friday: E (Music)
3. F presents Geography on Saturday.
- Saturday: F (Geography)
4. The number of students presenting before B is the same as the number of students presenting after F.
- F presents on Saturday (6th day), so there is exactly 1 student presenting after F (on Sunday).
- Therefore, there must be exactly 1 student presenting before B, which means B presents on Tuesday.
- Tuesday: B
5. Four students present between B and the one who presents Civics.
- B is on Tuesday (Day 2). Counting 4 days after B gives Sunday (Day 7).
- Therefore, the student on Sunday presents Civics.
- Sunday: Civics
6. C presents immediately after the one who presents Math, and immediately before D, who presents Art.
- C and D must be on consecutive days with C coming first, and Math must be immediately before C.
- Looking at the available days: Wednesday (Day 3), Thursday (Day 4), and Sunday (Day 7) are free for students.
- The consecutive days available for C and D are Wednesday and Thursday.
- Wednesday: C
- Thursday: D (Art)
- Since Math is immediately before C, B (on Tuesday) must present Math.
- Remaining student is G, who must present on Sunday.
- Remaining subject for C is Science (Wednesday).
Final Schedule:
- Monday: A (History)
- Tuesday: B (Math)
- Wednesday: C (Science)
- Thursday: D (Art)
- Friday: E (Music)
- Saturday: F (Geography)
- Sunday: G (Civics)
Question Analysis:
We need to find how many presentations are scheduled after the student who presents Geography.
Geography is presented by F on Saturday. Only one presentation (G presenting Civics on Sunday) is scheduled after Saturday.
Thus, there is only One presentation scheduled after the student who presents Geography.
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