Question 1
y ≠0
|
Quantity A |
Quantity B |
|
5y2 |
|
The quantity in Quantity A is greater.
The quantity in Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 2
|
Quantity A |
Quantity B |
|
The length of line segment PR |
The quantity in Quantity A is greater.
The quantity in Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 3
|
Quantity A |
Quantity B |
|
35,043 × 25,430 |
35,430 × 25,043 |
The quantity in Quantity A is greater.
The quantity in Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 4
x and y are positive numbers.
|
Quantity A |
Quantity B |
|
|
The quantity in Quantity A is greater.
The quantity in Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 5
|
Quantity A |
Quantity B |
|
The least prime factor of 72 |
The least prime factor of 27 |
The quantity in Quantity A is greater.
The quantity in Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 6
The average (arithmetic mean) of a, b, c, and d is 7.
|
Quantity A |
Quantity B |
|
15 |
The average (arithmetic mean) of 4a − 5c, b − 24, 8c − a, and 3d + 2b |
The quantity in Quantity A is greater.
The quantity in Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 7
In the figure above, the width of the larger square is equal to the diagonal (not shown) of the smaller square.
|
Quantity A |
Quantity B |
|
The area of the smaller square |
The area of the shaded region |
The quantity in Quantity A is greater.
The quantity in Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 8
11 < y < 17
|
Quantity A |
Quantity B |
|
|
The quantity in Quantity A is greater.
The quantity in Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 9
The volume of a cube with edge of length 2 is how many times the volume of a cube with edge of length 
?
2
2
4
8
Question 10
BILLIE’S TIME SHEET FOR JULY 2
|
Time in: |
8:57 in the morning |
|
Time out: |
5:16 in the afternoon |
|
Time spent stacking shelves: |
80% of total time spent at work |
According to the time sheet above, Billie spent approximately how many hours stacking shelves on July 2?
Question 11
What is the probability that the sum of two different single-digit prime numbers will NOT be prime?
0
1
Question 12
To fill a larger concert hall, a madrigal singing group consisting of sopranos, altos, and basses, in a 5:7:3 ratio, needs at least 40 singers. What is the least number of basses the group will need?
Question 13
If mx + qy − nx − py = 0, p − q = 2, and 
, then which of the following is true?
n – m =
n – m = 
m + n =
m + n = 
m + n = 
Question 14
The “hash” of a three-digit integer with three distinct integers is defined as the result of interchanging its units and hundreds digits. The absolute value of the difference between a three-digit integer and its hash must be divisible by
9
7
5
4
2
Questions 15-16 refer to the following graphs.
SENIOR MANAGEMENT OF COMPANY Y
Question 15
If from 1980 to 2007, the number of senior managers increased by 60 percent, then what was the increase in the number of senior managers from 2000 through 2007, inclusive?
2
4
6
9
12
Question 16
Which of the following statements can be inferred from the charts above?
Indicate all such statements.
From 1990 to 2000, the average salary, in actual-year dollars, increased by more than 10%.
In 1960, there were fewer than 5 senior managers.
For the decades shown, the number of senior managers increased by the greatest percentage between 1980 and 1990.
Question 17
The positive sequence s1, s2, s3…sn…is defined by sn = sn–1 + 5 for n ≥ 2. If s1 = 7, then the nth term in the sequence is
5n − 5
5n − 2
5n
5n + 2
5n + 7
Question 18
Rachel and Rob live 190 miles apart. They both drive in a straight line toward each other to meet for tea. If Rachel drives at 50 mph and Rob drives at 70 mph, then how many miles apart will they be exactly 45 minutes before they meet?
50
60
70
90
100
Question 19
In the circle with center O above, PS = 8. If x = 75, then what is the perimeter of the shaded region?
Question 20
If x = 32, then what is the value of xx?
34
38
39
312
318