Complete question:
The value of Q is given by the relation Q = 17m. If Q and m are integers with Q greater than 150 and less than 160, then which of the following is the value of m?
A. 9
B. 1
C. 12
D. 14
Answer:
A. 9
Explanation:
The equation formed between Q and m is Q = 17 m. Q and m are both integers. Q is greater than 150 and less than 160. This means Q could be 151, 152, 153, 154, 155, 156, 157, 158 or 159. The value of m can be solved by testing the options given below.
option A
Q = 17m
Q = 17 × 9 = 153( correct because it is an integer and it is greater than 150 and less than 160)
option B
Q = 17m
Q = 17 × 1 = 17(incorrect, it is less than 150 )
option C
Q = 17m
Q = 17 × 12 = 204(incorrect because it is not less than 160)
option D
Q = 17m
Q = 17 × 14 = 238(incorrect because it is not less than 160 )