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How many more men than women are in the room?

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How many more men than women are in the room?

by AAPL » Wed May 27, 2020 4:24 am

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C

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GMAT Paper Tests

How many more men than women are in the room?

1) There is a total of 20 women and men in the room.
2) The number of men in the room equals the square of the number of women in the room.

OA C
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Source: — Data Sufficiency |

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Re: How many more men than women are in the room?

by Jay@ManhattanReview » Wed May 27, 2020 5:40 am

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C

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AAPL wrote: ↑
Wed May 27, 2020 4:24 am
 GMAT Paper Tests

How many more men than women are in the room?

1) There is a total of 20 women and men in the room.
2) The number of men in the room equals the square of the number of women in the room.

OA C
Say there are m men and w women, so we have to find out the value of m – n.

Let's take each statement one by one.

1) There is a total of 20 women and men in the room.

m + n = 20. Insuffcient.

2) The number of men in the room equals the square of the number of women in the room.

m = n^2. Insuffcient.

(1) and (2) together

So, we have m + n = 20 and m = n^2

Thus, n^2 + n = 20 => n(n + 1) = 20 = 4*5 => n = 4

Thus, m = n^2 = 4^2 = 8

So, m – n = 8 – 4 = 4.

The correct answer: C

Hope this helps!

-Jay
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