## Are at least $$10$$ percent of the people in Country $$X$$ who are $$65$$ years old or older employed?

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### Are at least $$10$$ percent of the people in Country $$X$$ who are $$65$$ years old or older employed?

by Vincen » Thu Apr 15, 2021 11:37 am

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## Global Stats

Are at least $$10$$ percent of the people in Country $$X$$ who are $$65$$ years old or older employed?

(1) In Country $$X,$$ $$11.3$$ percent of the population is $$65$$ years old or older.
(2) In Country $$X,$$ of the population $$65$$ years old or older, $$20$$ percent of the men and $$10$$ percent of the women are employed.

Source: GMAT Prep

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### Re: Are at least $$10$$ percent of the people in Country $$X$$ who are $$65$$ years old or older employed?

by [email protected] » Fri Apr 16, 2021 5:26 am

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B

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## Global Stats

Vincen wrote:
Thu Apr 15, 2021 11:37 am
Are at least $$10$$ percent of the people in Country $$X$$ who are $$65$$ years old or older employed?

(1) In Country $$X,$$ $$11.3$$ percent of the population is $$65$$ years old or older.
(2) In Country $$X,$$ of the population $$65$$ years old or older, $$20$$ percent of the men and $$10$$ percent of the women are employed.

Source: GMAT Prep
Let's use the term seniors, to refer to those who are 65 years old or older.

Target question: Are at least 10 percent of Country X's seniors employed?

Statement 1: In Country X, 11.3 percent of the population is 65 years old or older.
Okay, so we know that a certain percent of the population are seniors, but we aren't told anything about their employment rates.
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: Among Country X's seniors, 20 percent of the men and 10 percent of the women are employed
To get a feel for what this tells us, let's examine the two EXTREMES:
Extreme #1 - among the seniors, there are ZERO women. This means all of the seniors are men, which means 20% of the seniors are employed
Extreme #2 - among the seniors, there are ZERO men. This means all of the seniors are women, which means 10% of the seniors are employed
Now that we have examined the extremes, we have a range of values that represent the employment rate among Country X's seniors.
We can conclude: 10% < senior employment rate < 20%
In other words, at least 10 percent of Country X's seniors are employed
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

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