4. How many positive integers less than 100 are divisible by 3,5,7?

A.None
B.One
C.Two
D.Three
E.Four

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

I got A, is this right?

Philip/Rabie -- please use the same name for your posts.

Yes, A is correct.

To find the number of positive integers less than 100 that are divisible by 3, 5, and 7, we need to use the concept of least common multiple (LCM).

The LCM of 3, 5, and 7 is 105. This means that any positive integer divisible by 3, 5, and 7 must be a multiple of 105.

To find the number of positive integers less than 100 that are divisible by 105, we divide 100 by 105 and round down (since we want integers less than 100).

100 ÷ 105 = 0 remainder 100

Since the division leaves a remainder of 100, there are no positive integers less than 100 that are divisible by 105.

Therefore, the answer is A. None.