GMAT Math : Sets

Study concepts, example questions & explanations for GMAT Math

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Example Questions

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Example Question #21 : Gmat Quantitative Reasoning

Out of 2,319 employees of a company, 1,299 speak Spanish and 1,122 speak French; 517 speak neither. How many speak both?

Possible Answers:

This is an impossible situation.

Correct answer:

Explanation:

Let  and  be the sets of employees that speak Spanish and French, respectively. Then we know that 

 and 

Since 517 employees speak neither,  employees speak either Spanish, French, or both.

We are looking for , which can be found by using the formula:

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