Question 1
If x is a positive integer greater than 1, which of the following has the greatest value?
Question 2
Which of the following CANNOT be the sum of two prime integers?
7
19
23
31
43
Question 3
If r is an integer multiple of 8, then which of the following could NOT be divisible by r?
216
384
360
416
420
Question 4
If x, y, and z are consecutive even integers, such that x < y < z and xyz = 960, what is the value of z?
Question 5
Which of the following integers has both 12 and 17 as factors?
34
84
120
204
217
Question 6
f, g, and h are consecutive prime numbers such that f < g < h.
| Quantity A | Quantity B |
| f + g + h | 3g |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 7
How many positive integers less than 20 are factors of 96?
5
6
7
8
9
Question 8
If p and q are both positive odd integers, which of the following must be odd?
Indicate all such values.
pq
2pq
3pq
pq + pq
pq + qp
Question 9
If a and b are integers, ab = −5, and a − b > 0, which of the following must be true?
I only
II only
I and II only
I and III only
I, II, and III
Question 10
y = |y|
y = −|y|
| Quantity A | Quantity B |
| y | 0 |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 11
If x and y are letters which correspond to points on the number line shown above, which of the following statements must be true?
x > y
x + y > 1
Question 12
n is a positive integer.
The remainder when 5n is divided by 4 is 3.
| Quantity A | Quantity B |
|
The remainder when 10n is divided by 4 |
2 |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Question 13
a < 0 < b
| Quantity A | Quantity B |
| ab | a + b |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.