how many numbers inbetween 100 and 700 are divisible by 3, 5, and 7 but not divisible by 11

A. 6
B. 9
C. 11
D. 13

The answer is A

The numbers divisible by 3, 5, 7 at a time means divisible by 3*5*7=105

so between 100 and 700 these numbers are 6 which are 105, 210,315, 420, 525,630 and the 7th 735 is not included.

As 105 is not divisible by 11 so these 6 numbers are divisible by 3,5,7 and not by 11.