Determine the number greater than 19 and less than 34 that is divisible by 6 and 10.

A. 20
B. 24
C. 30
D. 60

The number must be divisible by both 6 and 10, which means it must be divisible by their least common multiple, which is 30.

Out of the given options, only 30 satisfies this condition.

Therefore, the correct answer is C. 30.