A positive number is divisible by both 3 and 4 . The tens digit is greater than the ones digit. How many positive two-digit numbers have this property?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
A positive number is divisible by both 3 and 4 if it is divisible by 12 (and a positive number that is divisible by 12 is divisible by both 3 and 4 ).

The positive two-digit numbers that are divisible by 12 (and thus 3 and 4 ) are 12,24, 36, 48,60, 72,84 , and 96 .

Of these, $60,72,84$, and 96 have a tens digit that is greater than its ones digit.

Thus, there are 4 positive two-digit numbers that satisfy the given property.

ANSWER: (A)