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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A certain business school has a student body of 2,000 studen
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BTGmoderatorDC
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Jay@ManhattanReview
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Here's the solution...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
The correct answer: C
Hope this helps!
-Jay
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Brent@GMATPrepNow
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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
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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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.
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.
