6. 40 percent of the employees at a certain company are male.
70 percent of the employees at the company are currently on
vacation. Of the employees on vacation, 40 percent are on a
beach vacation, 40 percent are on a ski vacation, and 20
percent are on a golf vacation. Of the employees on a beach
vacation, 25 percent are male. What percent of the company's
female employees are currently on a beach vacation?
A. 28 percent
B. 25 percent
C. 21 percent
D. 7 percent
E. 35 percent
7. Jeana invited 3 friends, Brian, Bob, and Leslie, to a party
at her house. She purchased 3 bottles of wine for the party.
It takes Bob 6 hours, Brian 3 hours, and Leslie 4 hours to
drink a bottle of wine. If Jeana does not drink wine, how
long will it take for the friends to drink the 3 bottles of
wine?
A. 3 hours
B. 4 hours
C. 3 hours 20 minutes
D. 4 hours 45 minutes
E. 2 hours 45 minutes
8. A certain company's customer service department has five
employees. The hourly wage for each employee ranges from $5
an hour to $20 an hour. Which of the following could be the
average (arithmetic mean) hourly wage for the customer
service employees?
1) $7.50 an hour
2) $9 an hour
3) $16.75 an hour
A. 1 only
B. 2 only
C. 3 only
D. 1 and 2 only
E. 2 and 3 only
9. A certain company is awarding annual bonuses to its
employees. Of the employees at the company, 70% received
bonuses of at least $10,000, 40% received bonuses of at
least $50,000, and 20% received bonuses of at least
$100,000. If 60 employees received bonuses of less than
$10,000, how many employees received bonuses of at least
$50,000 but less than $100,000?
A. 80
B. 50
C. 48
D. 45
E. 40
10. If w=4x, 2x=3y, and z=y/w, then w/z =
A. 4w
B. 20x
C. 28x
D. 24y
E. 36y
11. Miguel and Lara took a trip to a mountain resort. They drove
to the resort at night at a rate of 60 miles per hour. They
returned home along the same path during the day at a rate
of 75 miles per hour. If the entire trip was 200 miles, what
was their average speed for the trip?
A. 200/3 mph
B. 190/3 mph
C. 135/2 mph
D. 70 mph
E. 68 mph
12. How many positive integers less than 5,000 are evenly
divisible by neither 15 nor 21?
A. 4,514
B. 4,475
C. 4,521
D. 4,428
E. 4,349
13. A scientist pours 20 liters of a 16% alcohol solution into
60 liters of a 20% alcohol solution. How many liters of the
resulting solution must she add to 10 liters of a 30%
alcohol solution to create a solution that is 24% alcohol?
A. 23 liters
B. 13 liters
C. 15 liters
D. 12 liters
E. 20 liters
14. If a + b = 20, is a + b > c?
1) a > c and b < c
2) 4a + b = 68
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
15. Mark is playing poker at a casino. Mark starts playing with
140 chips, 20% of which are $100 chips and 80% of which are
$20 chips. For his first bet, Mark places chips, 10% of
which are $100 chips, in the center of the table. If 70% of
Mark's remaining chips are $20 chips, how much money did
Mark bet?
A. $1,960
B. $1,740
C. $1,540
D. $3,080
E. $2,640
16. Triangle X has a base of 5 and a height of n. Triangle Y is
created by extending Triangle X's base by 200% and its
height by 300%. Triangle Z is created by extending Triangle
Y's base by 40% and its height by 50%. What is the ratio of
the area of Triangle X to the area of Triangle Z?
A. 5:63
B. 1:12
C. 5:126
D. 4:89
E. 10:21
17. A group of friends is playing poker. The average (arithmetic
mean) age of the friends is 29. How many friends are playing
poker?
1) The sum of their ages is a multiple of 3
2) If each friend tossed a fair coin, the probability of all
of the coins coming up heads is greater than 1/4 and less
than 1/128
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
18. John is exercising at a local running track. One lap around
the track measures 1/4 of a mile. For his workout, John runs
20 laps around the track. John runs the first 10 laps at a
rate of 10 miles per hour. If John completes his workout in
45 minutes, at what rate did he run the final 10 laps?
A. 8 miles per hour
B. 5 miles per hour
C. 10 miles per hour
D. 7.5 miles per hour
E. 7 miles per hour
19. If 8a + 4b = 20, what is the value of a?
1) 2a - 5 = -b
2) 7a - 20 = -3b
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
