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Are at least 10 percent of the people in Country X who are [#permalink]

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16 May 2016, 18:29

I think most people including me, who get the answer as C, read the question stem wrong. I read the question as

- Are at least 10% people in country X, 65 year older & employed. Instead of reading the question as Are at least 10% of people who are older than 65, employed. What a silly mistake!

Re: Are at least 10 percent of the people in Country X who are [#permalink]

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13 Aug 2017, 06:22

It would be very easy to spot ans for this question if one can get the meaning of the question and options. question & options of this question look like SC questions

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 year old or older (2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed

We need to determine whether at least 10 percent of the people in Country X who are 65 years old or older are employed. Let’s refer to the population of those who are 65 years old or older in Country X as the “older population.”

Statement One Alone:

In Country X, 11.3 percent of the population is 65 years old or older.

Knowing the percentage of the population in Country X that is 65 years or older doesn’t give us enough information to determine the percentage of the older population that is employed. For example, it could be the case that 5% of the older population is employed or it could be the case that 35% of them are employed. Statement one alone is not sufficient. Eliminate answer choices A and D.

Statement Two Alone:

In Country X, of the population 65 years or older, 20 percent of the men and 10 percent of the women are employed.

Of the older population, if 20% of the men and 10% of the women are employed, then it must be true that the overall employment percentage is between 10 and 20 percent. Anytime there is a group of people or objects divided into two subgroups, if x percent of one subgroup satisfies a criterion and y percent of the other subgroup satisfies the same criterion, then the percentage of the whole group satisfying this criterion is some number between x and y percent. Since the percentage of the older population that is employed is between 10 and 20 percent, at least 10 percent of them are employed. Statement two alone is sufficient.

Answer: B
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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 year old or older (2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed

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