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04 Oct 2018, 00:11
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
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Question Stats:
83% (02:17) correct
17%
(02:39)
wrong
based on 190
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In a school, the number of students who play Soccer is twice the number of students who play Basketball. The number of students who play both the sports is twice the number of students who play only Basketball. If 5,000 students play both the sports, how many students play only against Soccer?
(A) 5500
(B) 8500
(C) 10000
(D) 12000
(E) 18500
(A) 5500
(B) 8500
(C) 10000
(D) 12000
(E) 18500
04 Oct 2018, 00:21
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Bunuel
Soccer = 2* Basketball
Both = 2*Only Basketball
Both = 5000
i.e. Only Basketball = 5000/2 = 2500
Only Basketball + Both = Total basketball players
Basketball = 2500+5000 = 7500
i.e. Soccer = 2*7500 = 15000
Only Soccer = Soccer - Both = 15000 - 5000 = 10,000
Answer: Option C
P.S. Try solving this question using grid... Grid is the best way forward for this question.
27 Aug 2020, 23:35
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Given: In a school, the number of students who play Soccer is twice the number of students who play Basketball. The number of students who play both the sports is twice the number of students who play only Basketball.
Asked: If 5,000 students play both the sports, how many students play only against Soccer?
IMO B
Asked: If 5,000 students play both the sports, how many students play only against Soccer?
| Soccer | No Soccer | Total | |
| Basketball | 2y=5000 | y=2500 | x=3y=7500 |
| No Basketball | 4y=10000 | ||
| Total | 2x=6y=15000 |
IMO B
