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 students present between B and the student who presents Music?
Correct Answer :
Two
Solution :
The correct option is Two.
Let's analyze the given information step-by-step to determine the presentation schedule for all seven students (Monday to Sunday):
1. Days of the week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
2. A's presentation: A presents History on Monday.
- Monday: A (History)
3. E's presentation: Three presentations are scheduled between A and E, who presents Music.
- Since A is on Monday, E presents on Friday.
- Friday: E (Music)
4. F's presentation: F presents Geography on Saturday.
- Saturday: F (Geography)
5. B's presentation: The number of students presenting before B is the same as the number of students presenting after F.
- There is only 1 student presenting after F (Sunday).
- Therefore, there must be 1 student presenting before B.
- This places B on Tuesday.
- Tuesday: B
6. Civics presentation: Four students present between B (Tuesday) and the one who presents Civics.
- Four days after Tuesday is Sunday.
- Therefore, the student on Sunday presents Civics.
- Sunday: Civics
7. C and D's presentations: C presents immediately after the one who presents Math, and immediately before D, who presents Art.
- This forms a sequence of three consecutive presentations: [Math] → [C] → [D (Art)].
- Looking at the remaining available days (Wednesday, Thursday, Sunday):
- Wednesday must be Math.
- Thursday must be C.
- Friday is E, so D cannot be Friday. Wait, let's re-examine:
- Wednesday: Math
- Thursday: C
- Friday is already occupied by E (Music), but D presents immediately after C. If C is Thursday, D must be Friday... wait, E is on Friday!
- Let's re-check the days available: Wednesday, Thursday, Sunday.
- If B (Tuesday) presents Math, then C is Wednesday, and D (Art) is Thursday!
- Let's check this placement:
- Tuesday: B (Math)
- Wednesday: C
- Thursday: D (Art)
8. Remaining Student and Subject:
- The only remaining student for Sunday is G.
- The remaining subjects for A, B, C, D, E, F, G are:
- Monday: A (History)
- Tuesday: B (Math)
- Wednesday: C (Science)
- Thursday: D (Art)
- Friday: E (Music)
- Saturday: F (Geography)
- Sunday: G (Civics)
Now, let's answer the question: How many students present between B and the student who presents Music?
- B presents on Tuesday.
- The student who presents Music (E) presents on Friday.
- The days between Tuesday and Friday are Wednesday (C) and Thursday (D).
- Therefore, exactly 2 students (C and D) present between B and E.
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