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.

Claim (1) is insufficient (not enough information)

Claim (2) is sufficient and true

Step-by-step explanation:

We are concerned with a particular group which are the people in country X who are 65 years or older.

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

If the population of 65 years old or older in country X is 11.3% of total population. This information is clearly insufficient, as no info about employment rates in this group is stated.

(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.

20% of the men in this group and 10% of the women in this group are employed. No matter the proportion of men and women are in this group, more than or equal to 10% will be employed. This is because the weighted average of 2 individual averages (10% and 20%) must lie between these individual averages boundaries, so percent of employed people in this group is between 10% and 20%. Sufficient.

Therefore,

Claim 1 is insufficient

Claim 2 is sufficient and true