| Quantity A | Quantity B |
| 358 − 2(x + y) | 180 − (x + y) |
Question 1
| Quantity A | Quantity B |
| 358 − 2(x + y) | 180 − (x + y) |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 2
pq ≠ 0
| Quantity A | Quantity B |
| (p + q)3 | p3 + q3 |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 3
is an integer, y > x > 1.
| Quantity A | Quantity B |
| x2 |
|
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 4
Let x, y, and z be non-zero numbers such that the average (arithmetic mean) of x and twice y is equal to the average (arithmetic mean) of y and twice z. What is the average (arithmetic mean) of x and y?
z
2z
z − x
z − y
Question 5
If 
and 
, what is b in terms of a ?
1 + a
a2 + 1
Question 6
of a circular pizza has been eaten. If the rest of the pizza is divided into m equal slices, then each of these slices is what fraction of the whole pizza?
Question 7
| Quantity A | Quantity B |
| (x + y)2 − 2xy | x2 + y2 |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 8
If 
< x < 0, then which one of the following must be true?
1 < x2
x2 < x
−1 < x3 < 0
x3 < x
Question 9
If A = q − r, B = r − s, and C = q − s, what is the value of A − (B − C)?
−r
0
1
q + r
2(q − r)
Question 10
x and y are both integers
| Quantity A | Quantity B |
| xy | 6 |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 11
There are x red marbles, y blue marbles, and z yellow marbles in a sack. Three marbles are chosen at random, without replacements. If x, y, and z are all at least equal to 3, then which of the following must be true?
Indicate all such statements.
The probability of drawing exactly 3 red marbles is
The probability of drawing at least 1 red marble is
The probability of drawing exactly 3 blue marbles is
Question 12
The Lirr River runs from Rosedale in the west to Oceanside in the east with the current moving at an average of 10 miles per hour. Sasha is traveling by motorboat from Oceanside to Rosedale and back. If the water were not moving, Sasha’s motorboat would travel at an average speed of 20 miles per hour. Given the current, what was Sasha’s actual average speed, in miles per hour, for the round trip?
Question 13
If 
for a ≠ 0 and b ≠ 0, then which of the following statements must be true?
Indicate all such statements.
a2 = b2
Question 14
If 7 orchids cost d dollars, then how much will 10 orchids cost, in dollars, at the same rate?
70d
