When m is divided by 9, the remainder is 2. When m is divided by 13, the remainder is 8. If 1 < m < 200, what is the greatest possible value of m?
A. 47
B. 65
C. 103
D. 117
E. 164
OE:
![]()
A. 47
B. 65
C. 103
D. 117
E. 164
OE:
[Reveal] Spoiler:
Answer choice (E)
Nearest multiple of 9 to 164 = 189=162, leaving a remainder of 2.
Nearest multiple of 13 to 164 = 1213 = 156, leaving a remainder of 8.
Thus 164 fits both conditions, and the greatest answer choice
Nearest multiple of 9 to 164 = 189=162, leaving a remainder of 2.
Nearest multiple of 13 to 164 = 1213 = 156, leaving a remainder of 8.
Thus 164 fits both conditions, and the greatest answer choice