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10 May 2017, 02:26
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
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Question Stats:
92% (00:46) correct
8%
(01:09)
wrong
based on 112
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If there are 56 people attending a birthday party which of the following is a possible ratio of women to men at the party?
A. 10 : 9
B. 11 : 4
C. 30 : 1
D. 1 : 7
E. 2 : 23
A. 10 : 9
B. 11 : 4
C. 30 : 1
D. 1 : 7
E. 2 : 23
10 May 2017, 03:36
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Bunuel
The number of women and the number of men must be integer.
A. \(\text{the ratio of women to men} = \frac{\text{women}}{\text{men}}=10 : 9\implies \frac{\text{women}}{\text{all}}=\frac{10}{19}\implies \text{women}=56 \times \frac{10}{19}\)
56 isn't divisible by 19, so eliminate this choice.
B. \(\frac{\text{woman}}{\text{all}}=\frac{11}{15}\).
56 isn't divisible by 15, so eliminate this choice.
C. \(\frac{\text{woman}}{\text{all}}=\frac{30}{31}\).
56 isn't divisible by 31, so eliminate this choice.
D. \(\frac{\text{woman}}{\text{all}}=\frac{1}{8} \implies \text{woman}=56 \times \frac{1}{8}=7 \implies \text{men}=49\).
This choice is the correct answer.
E. \(\frac{\text{woman}}{\text{all}}=\frac{2}{25}\).
56 isn't divisible by 25, so eliminate this choice.
