How many positive integers between 20 and 100, inclusive, are multiples of both 4 and 6?

✓ Correct Answer: Option B

Multiples of both 4 and 6 are multiples of their least common multiple (LCM). LCM(4, 6) = 12. We need to find multiples of 12 between 20 and 100. These are 24, 36, 48, 60, 72, 84, 96. Counting these, there are 7 integers.