QUANTITATIVE

1. Joan spends 20% of her income on taxes and 20% of the remainder on rent. What percent of her income does she spend on rent?

a. 8%

b. 10%

c. 16%

d. 20%

e. 24%

2. An overnight courier service charges $5.00 for the first 2 ounces of a package and $0.75 for each additional ounce. If there is 6% sales tax added to these charges, how much does it cost to send a 6-ounce package?

a. $4.24

b. $8.00

c. $8.48

d. $9.28

e. $10.60

3. Company C sells a line of 25 products with an average retail price of $1,200. If none of these products sells for less than $420 and exactly 10 of the products sell for less than $1000, what is the greatest possible selling price of the most expensive product?

a. $2,600

b. $3,900

c. $7,800

d. $11,800

e. $18,200

4. A certain industrial loom weaves 0.128 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 25 meters of cloth?

a. 178

b. 195

c. 204

d. 488

e. 512

5. A cube of white chalk is painted red, and then cut parallel to the sides to form two rectangular solids of equal volume. What percent of the surface area of each of the new solids is not painted red?

a. 15%

b. 16 2/3%

c. 20%

d. 25%

e. 33 1/3%

6. Ann and Bob drive separately to a meeting. Ann’s average driving speed is 1/3 greater than Bob’s and Ann drives twice as many miles as Bob. What is the ratio of the number of hours Ann spends driving to the meeting to the number of hours Bob spends driving to the meeting?

a. 8:3

b. 3:2

c. 4:3

d. 2:3

e. 3:8

7. In a certain game, each player scores either 2 points or 5 points. If n player score 2 points and m players score 5 points and the total number of points scored is 50, what is the least possible positive difference between n and m?

a. 1

b. 3

c. 5

d. 7

e. 9

8. James’s library contains reference, biography and fiction books only in the ratio of 1:2:7 respectively. If James’s library contains 30 books, how many biographies does he own?

a. 2

b. 3

c. 4

d. 6

e. 10

s9. Which of the following fractions is smaller than 2/5.

a. 7/16

b. 4/11

c. 3/7

d. 4/9

e. 9/20

10. A rectangular parking space is marked out by painting three of its sides white. If the length of the unpainted side is 9 feet and the sum of the lengths of the painted sides is 37 feet, what is the area of the parking space in square feet?

a. 46

b. 81

c. 126

d. 252

e. 333

11. Flight Departures On time X %

Up to 15 minutes delayed 43 %

15 – 30 minutes delayed 17%

30 – 60 minutes delayed 12%

More than 60 minutes delayed 3 %

The above table shows how long departures from a certain airport were delayed on a certain day. If 1200 flights were delayed, how many flights departed on time?

a. 250

b. 300

c. 350

d. 400

e. 900

12. Cheese, bologna and peanut butter sandwiches were made for a picnic in a ratio of 5:7:8. If a total of 120 sandwiches were made, how many bologna sandwiches were made?

a. 15

b. 30

c. 38

d. 42

e. 48

13. At Leo’s lumberyard, an 8-foot long wooden pole costs $3.00. At this rate what is the cost in cents of a pole that is 16 inches long?

a. 0.5

b. 48

c. 50

d. 64

e. 96

14. In 1999, Diana read 10 English books and 7 French books. In 2000 she read twice as many French books as English books. If 60% of the books that she read during the two years were French how many books did she read in 2000?

a. 16

b. 26

c. 32

d. 39

e. 48

15. If 5X + 13 = 31, what is the value of 5X+31 ?

a. 13

b. 173/5

c. 7

d. 13

e. 169

16. If A + 2B=14 and 5A + 4B = 16, what is the average (arithmetic mean) of A and B?

a. 1.5

b. 2

c. 2.5

d. 3

e. 3.5

17. Judy plans to visit the National Gallery once each month in 2001 except in July and August when she plans to go three times each. A single admission costs $3.50. A pass valid for unlimited visits in any month 3-month period can be purchased for $18. An annual pass costs $60.00. What is the least amount in dollars that Judy can spend for her intended number of visits?

a. 72

b. 60

c. 56

d. 49.5

e. 48

18. Alison is now three times as old as Jeremy but 5 years ago, she was 5 times as old as he was. How old is Alison now?

a. 10

b. 12

c. 24

d. 30

e. 36

19. If w widgets cost c cents, how many widgets can you get for d dollars?

a. 100dw / c

b. dw / 100c

c. 100cdw

d. dw / c

e. cdw

20. If 120% of a is equal to 80% of b, which of the following is equal to a + b?

a. 1.5a

b. 2a

c. 2.5a

d. 3a

e. 5a

21. If an object is moving at a speed of 36 kilometers per hour, how many meters does it travel one second?

a. 10

b. 36

c. 100

d. 360

e. 1000

22. For what value of c is 8 ^ (2x-4) = 16 ^ x

a. 2

b. 3

c. 4

d. 6

e. 8

For the next 8 questions (23 to 30) the answer choice should be chosen as

a. If statement (1) BY ITSELF is sufficient to answer the question, but statement

b. (2) by itself is not;

c. If statement (2) BY ITSELF is sufficient to answer the question, but statement

d. (1) by itself is not;

c. If statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question,

d. even though NEITHER statement BY ITSELF is sufficient;

d. If EITHER statement BY ITSELF is sufficient to answer the question;

e. If statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, but requiring more data pertaining to the problem.

23. Does X = Y ?

(1) X^2 – Y^2 = 0

(2) (X-Y)^2 = 0

24. How many students scored less than the class average on a test?

(1) The class average was 83.

(2) Fourteen students scored above the class average.

25. Does rectangle A have a greater perimeter than rectangle B ?

(1) The length of a side of rectangle A is twice the length of a side of rectangle B.

(2) The area of rectangle A is twice the area of rectangle B.

26. If R is an integer, is R evenly divisible by 3?

(1) 2R is evenly divisible by 3.

(2) 3R is evenly divisible by 3.

27. Susan flipped a fair coin N times. What fraction of the flips came up heads?

(1) N = 24

(2) The number of flips that came up tails was (3/8)N

28. If he did not stop along the way, what speed did Bill average on his 3-hour trip?

(1) He traveled a total of 120 miles

(2) He traveled half the distance at 30 miles per hour and balance half the distance at 60 miles per hour.

29. On a certain construction crew there are 3 carpenters for every 2 painters. What percent of the entire crew are carpenters or painters?

(1) Eighteen percent of the crew are carpenters

(2) Twelve percent of the crew are painters.

30. A rectangular aquarium provides 36 square centimeters of water-surface area per fish. How many fish are there in the aquarium?

(1) The edges of the aquarium have lengths of 60, 42 and 30 centimeters

(2) The aquarium is filled to a depth of 40 centimeters.