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A certain business school has a student body of 2,000 studen

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A certain business school has a student body of 2,000 studen

by BTGmoderatorDC » Mon Sep 17, 2018 5:59 pm

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A certain business school has a student body of 2,000 students, 45% of whom are male. What percent of the students are international students?

(1) The number of male international students in the business school is twice the number of female students who are not international students.
(2) The number of male students who are not international students is twice the number of male students who are international students.

OA C

Source: Veritas Prep
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Mon Sep 17, 2018 10:43 pm

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BTGmoderatorDC wrote:A certain business school has a student body of 2,000 students, 45% of whom are male. What percent of the students are international students?

(1) The number of male international students in the business school is twice the number of female students who are not international students.
(2) The number of male students who are not international students is twice the number of male students who are international students.

OA C

Source: Veritas Prep
Here's the solution...

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The correct answer: C

Hope this helps!

-Jay
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A certain business school has a student body of 2,000 studen

by Brent@GMATPrepNow » Tue Sep 18, 2018 5:53 am

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I thought I'd point out that Jay's approach is also known as the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it.
Here, we have a population of students, and the two characteristics are:
- male or female
- international student or not international student

This question type is VERY COMMON on the GMAT, so be sure to master the technique.

To learn more about the Double Matrix Method, watch this video: https://www.gmatprepnow.com/module/gmat- ... ems?id=919

Once you're familiar with this technique, you can attempt these additional practice questions:

Easy Problem Solving questions
- https://www.beatthegmat.com/finance-maj ... 67425.html

Medium Problem Solving questions
- https://www.gmatprepnow.com/module/gmat- ... /video/920
- https://www.beatthegmat.com/posted-spee ... 72374.html
- https://www.beatthegmat.com/motel-t271938.html
- https://www.beatthegmat.com/of-the-appl ... 70255.html
- https://www.beatthegmat.com/opening-nig ... 64869.html
- https://www.beatthegmat.com/at-least-10 ... 74669.html
- https://www.beatthegmat.com/prblem-solving-t279424.html

Difficult Problem Solving questions
- https://www.gmatprepnow.com/module/gmat- ... /video/946
- https://www.beatthegmat.com/ratio-problem-t268339.html
- https://www.beatthegmat.com/overlapping ... 65223.html
- https://www.beatthegmat.com/fractions-t264254.html
- https://www.beatthegmat.com/overlapping ... 64092.html
- https://www.beatthegmat.com/mba/2011/05 ... question-2

Easy Data Sufficiency questions
- https://www.gmatprepnow.com/module/gmat- ... /video/943
- https://www.beatthegmat.com/for-what-pe ... 70596.html
- https://www.beatthegmat.com/ds-quest-t187706.html

Medium Data Sufficiency questions
- https://www.beatthegmat.com/sets-matrix-ds-t271914.html
- https://www.beatthegmat.com/each-of-peo ... 71375.html
- https://www.beatthegmat.com/a-manufacturer-t270331.html
- https://www.beatthegmat.com/in-costume- ... 69355.html
- https://www.beatthegmat.com/mba/2011/05 ... question-1

Difficult Data Sufficiency questions
- https://youtu.be/dsCeqF9Kbk8
- https://www.beatthegmat.com/double-set- ... 71423.html
- https://youtu.be/dOZ9KM1m5Hs
- https://www.beatthegmat.com/sets-t269449.html
- https://www.beatthegmat.com/mba/2011/05 ... question-3

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by swerve » Tue Sep 18, 2018 3:45 pm

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2000 total students. 45% i.e. 900 male so 1100 female. We need the total of International students.

Statement 1:

Make the table:

.......................Regular................International...........Total

Male...................................................2x......................900

Female..................x......................................................1100

Total...............................................................................

There is no way to know the total number of international students.

Statement 2:

.......................Regular................International...........Total

Male......................4x.............................2x....................900

Female..........................................................................1100

Total...............................................................................

We get that 6x = 900 so x = 150. But there is no way to know the number of female international students.

Both together:

.......................Regular................International...........Total

Male......................600.............................300....................900

Female...................150...............................y.......................1100

Total...............................................................................

Female international students = 1100 - 150 = 950 = y
Total number of international students = 300+950
We can find the desired % now. Therefore, C.
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