How many men are in a certain company's vanpool program?

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How many men are in a certain company's vanpool program?

(1) The ratio of men to women in the program is 3 to 2.
(2) The men and women in the program fill 6 vans.

Answer: E

Source: Official Guide

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Gmat_mission wrote:
Sun Jan 23, 2022 1:16 am
How many men are in a certain company's vanpool program?

(1) The ratio of men to women in the program is 3 to 2.
(2) The men and women in the program fill 6 vans.

Answer: E

Source: Official Guide

Target question: How many men are in a certain company's vanpool program?

Statement 1: The ratio of men to women in the program is 3 to 2.
There are several scenarios that satisfy statement 1. Here are two:
Case a: There are 3 men and 2 women. In this case, the answer to the target question is there are 3 men
Case b: There are 6 men and 4 women. In this case, the answer to the target question is there are 6 men

Statement 2: The men and women in the program fill 6 vans.
We don't know the RATIO of men to women, AND we don't know how many people fit into each van
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
There are several scenarios that satisfy BOTH statements. Here are two:
Case a: There are 18 men & 12 women (for a total of 30 people), and each van holds 5 people . In this case, the answer to the target question is there are 18 men
Case b: There are 36 men & 24 women (for a total of 60 people), and each van holds 10 people . In this case, the answer to the target question is there are 36 men
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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