What is the number of integers from 11 to 1010 (inclusive) that are divisible by neither 12 nor by 15? Choose the correct choice from the following answers:
A) 565
B) 856
C) 783
D) 590
E) 300

Rationale: "in 1000 consecutive numbers , number of multiples of 12 = 1000 / 12 = 83 ( ignore decimals ) in 1000 consecutive numbers , number of multiples of 15 = 1000 / 15 = 66 number of multiples of 12 * 15 i . e . 180 = 1000 / 180 = 5 number of integers from 11 to 1010 that are divisible by neither 12 nor by 15 = 1000 - ( 83 + 66 - 5 ) { using the concept of sets here ) = 856 answer is b"
Answer: B