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At a community event, the total number of men, women, and

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At a community event, the total number of men, women, and

by BTGmoderatorDC » Sun Apr 21, 2019 5:39 pm

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At a community event, the total number of men, women, and children in attendance was less than 120. How many men attended the event?

1) The ratio of men to women to children at the event was 15:32:17

2) The number of women at the event was less than 50

OA A

Source: Veritas Prep
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Source: — Data Sufficiency |

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by Ian Stewart » Mon Apr 22, 2019 3:54 am

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If the ratio of men to women to children is 15 to 32 to 17, then (since that ratio is reduced) the total number of people must be a multiple of 15+32+17 = 64. If the total is also less than 120, it can only be exactly 64, so we have exactly 15 men, and Statement 1 is sufficient.

Statement 2 is not sufficient alone, so the answer is A.
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