ACT Numbers & Quantities Practice

What is the greatest common factor of 30, 90, and 130?

• 2

• 3

• 5

• 10

• 30

Which of the following must be true whenever a, b, and c are integers such that a < 0 and b > c > 0?

• a - c > 0

• c - b < 0

• a + c > 0

• -a - c < 0

• a + b > 0

• 4

• 6

• 7

• 9

• 12

The sum of 10 numbers is 250. What is the average of the 10 numbers?

• 25

• 50

• 110

• 125

• 240

If m and n are integers, which of the following must be an even integer?

• 2mn

• mn

• mn + 2

• mn - 2

• 3mn

If the equation |x - a| = |y - a| is true, then which of the following must be true?

• |x| = |y|

• x > a

• y < a

• |-a + y| = |-a + x|

If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, which of the following integers will be in P and Q but not in R?

• -54

• -50

• 42

• 100

• 252

If 3(m + n) is even, then which of the following must also be even?

• m + n

• m

• n

• 3m

• 3n + 1