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 :
Correct Option: Two
Let's analyze the given information step-by-step to determine the presentation schedule for all seven students (Monday through Sunday):
1. Identify the given schedule for Monday and Saturday:
• "A presents History on Monday." → Monday = A (History)
• "Three presentations are scheduled between A and E, who presents Music." → Since A is on Monday (1st day), 3 days between them means E presents on Friday (5th day). → Friday = E (Music)
• "F presents Geography on Saturday." → Saturday = F (Geography)
2. Determine the positions of B, F, and Civics:
• "The number of students presenting before B is the same as the number of students presenting after F..." → Since F presents on Saturday (6th day, so 1 student presents after F on Sunday), B must have 1 student presenting before them. Thus, B presents on Tuesday (2nd day). → Tuesday = B
• "Four students present between B and the one who presents Civics." → Since B is on Tuesday (day 2), four days after B gives Sunday (day 7). → Sunday = Civics
3. Place the remaining students (C, D, G) and subjects (Math, Art, Science):
• "C presents immediately after the one who presents Math, and immediately before D, who presents Art." → This requires three consecutive days for [Math, C, D (Art)]. The available consecutive days are Wednesday and Thursday. Thus:
- Wednesday = Math
- Thursday = C
- Friday = D (Art) — Wait, Friday is already E (Music). So the three consecutive days must be:
- Tuesday = B (Math)
- Wednesday = C
- Thursday = D (Art)
• Now, G must take the remaining day: Sunday. → Sunday = G (Civics)
• The remaining subject, Science, goes to Tuesday for B. So B presents Science, while Math goes to Wednesday for C's predecessor... Wait, let's re-verify: "C presents immediately after the one who presents Math" → If C is Wednesday, Tuesday is Math. So B presents Math!
• Then Science goes to the remaining person on Thursday/Sunday. Thursday is D (Art), Sunday is G (Civics). So Wednesday (C) must be Science.
Final Complete Schedule:
• Monday: A — History
• Tuesday: B — Math
• Wednesday: C — Science
• Thursday: D — Art
• Friday: E — Music
• Saturday: F — Geography
• Sunday: G — Civics
Question Breakdown:
We are asked: "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 students between Tuesday and Friday are Wednesday (C) and Thursday (D), which totals 2 students.
Therefore, the correct answer is Two.
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