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65 or older overlapping sets

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by szDave » Thu Jan 24, 2013 7:11 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.

a) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d) EACH statement ALONE is sufficient.
e) Statements (1) and (2) TOGETHER are NOT sufficient.

If we don't know what percent of the population is 65 of older, then how do we know that around 10% of them is employed? Can you give me an explanation, thanks!

OA B
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by GMATGuruNY » Thu Jan 24, 2013 8:08 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.
Almost NO MATH is needed here.

Statement 1: In country X, 11.3 percent of the population is 65 years old or older.
No information about who is employed.
INSUFFICIENT.

Statement 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.
Since 10% of the elderly women are employed and 20% of the elderly men are employed, the percentage of elderly people who are employed must be SOMEWHERE BETWEEN 10% AND 20%.
Thus, at least 10% of the elderly population is employed.
SUFFICIENT.

The correct answer is B.
Last edited by GMATGuruNY on Thu Jan 24, 2013 7:02 pm, edited 1 time in total.
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by Anurag@Gurome » Thu Jan 24, 2013 6:31 pm
szDave wrote: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.

a) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d) EACH statement ALONE is sufficient.
e) Statements (1) and (2) TOGETHER are NOT sufficient.

If we don't know what percent of the population is 65 of older, then how do we know that around 10% of them is employed? Can you give me an explanation, thanks!

OA B
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