How many more men than women are in the room?

[AAPL]

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

[Jay@ManhattanReview]

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
_________________
Manhattan Review GMAT Prep

Locations: Manhattan Review Warangal | Hyderabad | GRE Prep Mumbai | Visakhapatnam GRE Coaching | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.