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paresh_patil
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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.paresh_patil wrote:How many of 42 people in a group are employed students?
1) 29 out of 42 are employed.
2) 24 out of 42 are student.
(Source: GMATPrep)
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
For more information about the Double Matrix Method and some additional practice questions, check out these 3 BTG video articles:
- https://www.beatthegmat.com/mba/2011/05/ ... question-1
- https://www.beatthegmat.com/mba/2011/05/ ... question-2
- https://www.beatthegmat.com/mba/2011/05/ ... question-3
Cheers,
Brent













