How many of the 42 people are employed students?
(1) 29 of the 42 are employed
(2) 24 of the 42 are students
A. Statement 1 is sufficient alone
B. Statement 2 is sufficient alone
C. Both statements are sufficient to be there but not alone
D. Each statement is sufficient alone
E. Both statement are not sufficient together.
How many of the 42 people are employed students
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This is a great candidate for a technique called the Double Matrix Method. It can be used for most questions featuring a population in which each member has two criteria associated with it.REINE wrote:How many of the 42 people are employed students?
(1) 29 of the 42 are employed
(2) 24 of the 42 are students
Here, the criteria are:
- employment status (employed or unemployed)
- schooling (student or non-student)
There are 42 people altogether, so our first diagram looks like this:
Notice that I placed a star in the top-left box. The target question asks us to determine the number of people in this box.
Statement 1: 29 out of 42 are employed.
We get:
Since we cannot find the number of people in the top-left box, statement 1 is NOT SUFFICIENT
Statement : 24 out of 42 are students.
We get:
Since we cannot find the number of people in the top-left box, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined:
We get:
Since we still cannot find the number of people in the top-left box, the combined statements are NOT SUFFICIENT
Answer: E
NOTE: 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-majo ... 67425.html
Medium Problem Solving questions
- https://www.gmatprepnow.com/module/gmat- ... /video/920
- https://www.beatthegmat.com/posted-speed ... 72374.html
- https://www.beatthegmat.com/motel-t271938.html
- https://www.beatthegmat.com/of-the-appli ... 70255.html
- https://www.beatthegmat.com/opening-nigh ... 64869.html
- https://www.beatthegmat.com/at-least-100 ... 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-per ... 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-peop ... 71375.html
- https://www.beatthegmat.com/a-manufacturer-t270331.html
- https://www.beatthegmat.com/in-costume-f ... 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-m ... 71423.html
- https://youtu.be/dOZ9KM1m5Hs
- https://www.beatthegmat.com/sets-t269449.html
- https://www.beatthegmat.com/mba/2011/05/ ... question-3
Cheers,
Brent