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In 1942, was the number of people drafted to the army...

Expert replies
by AAPL » Fri Nov 17, 2017 11:56 am
In 1942, was the number of people drafted to the army of Country X greater than three times the number of people drafted to the army of Country Y?

1) In 1942, there were approximately 0.7 million more people drafted to the army of Country X then those drafted to the army of Country Y.
2) In 1942, the 300,000 Adventist Christians made up 20 percent of the draft to the army of Country X, and the 141,000 Evangelists made up 30 percent of the darft to the army of Country Y.

The OA is B.

Please, can any expert assist me with this DS question? I don't have it clear and I appreciate if any explain it for me. Thanks.
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Source: — Data Sufficiency |

by [email protected] » Sat Nov 18, 2017 11:29 am
Hi AAPL,

We're asked if (in 1942) the number of people drafted to the army of Country X was GREATER than three times the number of people drafted to the army of Country Y. This is a YES/NO question and can be solved by focusing on the 'relationships' between the numbers involved.

1) In 1942, there were approximately 0.7 million more people drafted to the army of Country X then those drafted to the army of Country Y.

The information in Fact 1 does NOT define the 'scale' of the difference. For example:
IF....
Y=1 and X=700,001 then the answer to the question is YES
Y=1,000,000 and X=1,700,000 then the answer to the question is NO
Fact 1 is INSUFFICIENT

2) In 1942, the 300,000 Adventist Christians made up 20 percent of the draft to the army of Country X, and the 141,000 Evangelists made up 30 percent of the draft to the army of Country Y.

The information in Fact 2 helps us to define the EXACT number of people drafted into each army:

X --> 300,000 = (.2)(Total of X)
1,500,000 = X

Y --> 141,000 = (.3)(Total of Y)
1,410,000/3 = Y
470,000 = Y

Thus, we CAN answer the question (and the answer happens to be YES).
Fact 2 is SUFFICIENT

Final Answer: B

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