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19 Jan 2024, 07:00
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
76% (02:39) correct
24%
(03:07)
wrong
based on 255
sessions
History
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Time
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Not Attempted Yet
Morgan Stanley is hosting an investment conference in sunny Phoenix, and the investors attending the conference are offered the choice to either play tennis or golf. 90% of the attendees who know how to play tennis also know how to play golf, whereas 18% of the attendees do not know how to play either sport and will stay in their hotel rooms to do their homework in preparation for their breakout meetings. If 30% of the conference attendees do not know how to play tennis, then how many attendees know how to play golf?
A. 38%
B. 46.5%
C. 66%
D. 75%
E. 84.5%
A. 38%
B. 46.5%
C. 66%
D. 75%
E. 84.5%
19 Jan 2024, 07:20
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Given: Morgan Stanley is hosting an investment conference in sunny Phoenix, and the investors attending the conference are offered the choice to either play tennis or golf. 90% of the attendees who know how to play tennis also know how to play golf, whereas 18% of the attendees do not know how to play either sport and will stay in their hotel rooms to do their homework in preparation for their breakout meetings.
Asked: If 30% of the conference attendees do not know how to play tennis, then how many attendees know how to play golf?
Morgan Stanley is hosting an investment conference in sunny Phoenix, and the investors attending the conference are offered the choice to either play tennis or golf. 90% of the attendees who know how to play tennis also know how to play golf.
18% of the attendees do not know how to play either sport and will stay in their hotel rooms to do their homework in preparation for their breakout meetings.
30% of the conference attendees do not know how to play tennis
75% of the attendees know how to play golf.
IMO D
Asked: If 30% of the conference attendees do not know how to play tennis, then how many attendees know how to play golf?
Morgan Stanley is hosting an investment conference in sunny Phoenix, and the investors attending the conference are offered the choice to either play tennis or golf. 90% of the attendees who know how to play tennis also know how to play golf.
| Know Tennis | ~Know Tennis | Total | |
| Know Golf | 0.9x% | ||
| ~Know Golf | 0.1x% | ||
| Total | x% | 100% |
18% of the attendees do not know how to play either sport and will stay in their hotel rooms to do their homework in preparation for their breakout meetings.
| Know Tennis | ~Know Tennis | Total | |
| Know Golf | 0.9x% | ||
| ~Know Golf | 0.1x% | 18% | |
| Total | x% | 100% |
30% of the conference attendees do not know how to play tennis
| Know Tennis | ~Know Tennis | Total | |
| Know Golf | .9x%=63% | 100%-25%=75% | |
| ~Know Golf | .1x%=7% | 18% | 7%+18%=25% |
| Total | x%=70% | 30% | 100% |
75% of the attendees know how to play golf.
IMO D
General Discussion
22 Jan 2024, 00:01
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There are 4 groups:
A - only tennis
B - only golf
C - both tennis and golf
D - neither
1) "30% of the conference attendees do not know how to play tennis"- meaning - 70% DO know how to play tennis.
2) "90% of the attendees who know how to play tennis also know how to play golf" - meaning - 90% of 70% are in group C = 63%
3) Only tennis group A= 70%-63%=7%
4) "18% of the attendees do not know how to play either sport" - meaning - group D=18%
5) Group B = TOTAL - Tennis - neither = 100-70-18 = 12
6) B+C play golf - meaning - 12+63 = 75
Answer choice D
A - only tennis
B - only golf
C - both tennis and golf
D - neither
1) "30% of the conference attendees do not know how to play tennis"- meaning - 70% DO know how to play tennis.
2) "90% of the attendees who know how to play tennis also know how to play golf" - meaning - 90% of 70% are in group C = 63%
3) Only tennis group A= 70%-63%=7%
4) "18% of the attendees do not know how to play either sport" - meaning - group D=18%
5) Group B = TOTAL - Tennis - neither = 100-70-18 = 12
6) B+C play golf - meaning - 12+63 = 75
Answer choice D
