A two-digit number is divisible by 8,12 and 18 . The number is between
(A) 10 and 19
(B) 20 and 39
(C) 40 and 59
(D) 60 and 79
(E) 80 and 99
Since the number is divisible by $8=2^{3}$, by $12=2^{2} \times 3$, and by $18=2 \times 3^{2}$, then the number must have at least three factors of 2 and two factors of 3 , so the number must be divisible by $2^{3} \times 3^{2}=72$. Since the number is a two-digit number which is divisible by 72 , it must be 72 (it cannot have more than two digits), so it is between 60 and 79 .

Answer: (D)

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