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By age and sex in the years 1990 and 2000.

1. In 2000, what percent of the applicants were females under the age of 20?

1. 14%.
2. 24%.
3. 17%.
4. 32%.
5. There isn’t enough data to determine.

The best answer is C.

Familiar you’re self with the graphs.

Go to the graph ascribed to the year 2000, 17% of the females are under the age of 30 and therefore under the age of 20. C is the best answer.

2. In 1990, approximately what percent of females’ applicants were at least 30 years of age?

1. 21%.
2. 22%.
3. 42%.
4. 48%.
5. 65%.

The best answer is D.

In this question, the easiest way is to pick up a number of applicants. Lets say that there were 100 applicants in total. (21% + 22% = 43%, which is 43 applicants) are woman. Only 21% of the applicants are over 30, meaning that 21 out of 43 females are applicants over the age of 30. 21/43 is approximately a little under 50% and therefore D is the best answer.

3. In 2000, approximately what percent of males’ applicants were at least 30 years of age?

1. 20%.
2. 32%.
3. 38%.
4. 42%.
5. 52%.

The best answer is C.

In this question, the easiest way is to pick up a number of applicants. Lets say that there were 100 applicants in total. (32% + 20% = 52%, which is 52 applicants) are man. Only 20% of the applicants are over 30, meaning that 20 out of 52 males are applicants over the age of 30. 20/52 is approximately a little under 40% and therefore C is the best answer.

4. If the total number of applicants in the year 2000 is by 50% greater than in 1990 and there were 240 applicants in 1990, how many males’ applicants are there in the year 2000 over the age of 30?

1. 45.
2. 72.
3. 112.
4. 124.
5. 160.

The best answer is B.

Use all the data. In 1990 there were 240 applicants è in 2000 there are (1.5 x 240 = 360) applicants. We know from the pie graph that 20% of 360 are males over the age of 30, which are exactly 72 applicants.

5. If the number of female applicants in the year 2000 is 96 and there were an equal amount of man applicants in the years 1990 and 2000, approximately how many woman applicants were in the year 1990 less than 30 years of age?

1. 20.
2. 40.
3. 60.
4. 80.
5. 100.

The best answer is B.

Go on step at a time.

96 woman in 2000 are (17% + 31% = 48%) of the total and therefore there are 96/(0.48) = 200 applicants in the year 2000.

Another important piece of information is that the number of male applicants is the same in both years è 0.52 x 200 = 104 males in the year 2000.

If 104 males are (42% + 15% = 57%) of the entire applicants for 1990 than there are approximately (104/0.57) 182 applicants.

We know that 22% are females less than 30 years of age and therefore (0.22 x 182) is approximately 40 applicants.

6. If there were 1,000 applicants in the year 1990, how many more male applicants were there than female applicants?

1. 70.
2. 125.
3. 140.
4. 260.
5. 320.

The best answer is C.

57% of all the applicants are male and therefore 570 are male.

43% of all the applicants are female and therefore 430 are female.

The difference between the groups is 140 applicants.

7. If there were 1,000 applicants in the year 1990 and 10% more in the year 2000, how many more males were there in 1990 than woman in 2000?

1. 12.
2. 24.
3. 38.
4. 42.
5. 56.

The best answer is D.

If there are 1,000 applicants in 1990 then 57% of them are male, which is 570 males.

In 2000 there were 10% more applicants, meaning 1100 applicants.

The women are 48% of 1100, which are 528 applicants.

The difference is (570 – 528 = 42) applicants.

8. If the total number of applicants was 65% higher in 2000 than in 1990, what among the answers is the closest ratio between the numbers of male applicants in 2000 to the number of female applicants 1990?

1. 2:3.
2. 4:1.
3. 1:2.
4. 2:1.
5. 3:2.

The best answer is D.

The question asked for an approximate ratio so make the calculations approximately.

Lets say that there were 100 applicants in the year 1990 and therefore 43 applicants are woman. In 2000 there were 165 (65% more) and therefore approximately 86 (0.52 x 165) are male applicants. 86:43 is the equivalent to the ratio 2:1 presented in answer D.

9. In the year 2002 there was a reunion of all the applicants from the years 1990 and 2000. Approximately what percent of the total are the males?

1. 40%.
2. 55%.
3. 62%.
4. 70%.
5. There isn’t enough data to answer.

The best answer is E.

Be careful, we don’t know the number of applicants in each year and so we cannot compare and make an average (52% + 57%)/2 are approximately 55%.

If we knew that there were an equal number of applicants in both years, the answer would be B.

10. If there were 3,000 applicants in 2000, how many more females over the age of 30 were there than females under the age of 30?

1. 930.
2. 650.
3. 510.
4. 420.
5. 380.

The best answer is D.

There are 31% females over the age of 30, which are 930 applicants.

There are 17% females under the age of 30, which are 510 applicants.

The difference is 420 female applicants.