A certain economics class consists of 50 women and 30 men. H

Question

A certain economics class consists of 50 women and 30 men. How many of the men in the class are business majors?

(1) 40 percent of the women in the class are business majors.
(2) 50 percent of all the people in the class are business majors

blueseas · Answer

statement 1:
40 percent of the woemn in the class are business majors.
therefore 0.4*50 = 20
but nothing told about men ==>insufficient
statement 2:
50 percent of all the people in the class are business majors
0.5*(50+30) =40 people are majors ..but we dont know how many men are there.

combining.
40 are majors out of which 20 are women ...hence 20 are men

hence C

fozzzy · Answer

Isn't this a 2 x 2 matrix problem where you have men, women, business and economics?

KarishmaB · Answer

Economics has no role to play here. It gives you the universal set. I can change the question a little without changing the meaning at all like this:

A certain class consists of 50 women and 30 men. How many of the men in the class are business majors?

(1) 40 percent of the women in the class are business majors.
(2) 50 percent of all the people in the class are business majors

Total:
Women - 50
Men - 30

Statement 1:
40% women i.e. 20 women are business majors. No info on men.

Statement 2:
Out of 80, 40 people are business majors. No info on men-women split.

Both statements - 40 people are business majors out of which 20 are women. So 20 must be men. Sufficient.

Answer (C)

EMPOWERgmatRichC · Answer

Hi fozzzy,

Since your post is over a year old, I'm not sure if you're still around to read this response, but you COULD have set this question up as an Overlapping Sets question (and used the Tic-Tac-Toe Board) - you just don't need to solve it that way. However, if you chose to use that approach, then the groups in that grid would be:

"Men" and "Women"
"Business Majors" and "NOT Business Majors"

With the starting information, your grid could look like this:

Bus NotBus Tot
M ? 30 
W 50
Tot 80

You could then use this grid with the information in the two Facts to answer the question.

GMAT assassins aren't born, they're made,
Rich

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A certain economics class consists of 50 women and 30 men. H

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A certain economics class consists of 50 women and 30 men. H

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