What is the number of integers from 11 to 1010 (inclusive) that are divisible by neither 12 nor by 15?
Choose the most appropriate option:
A) 565 B) 856 C) 783 D) 590 E) 300
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 856
<result>B</result>
What is the number of integers from 11 to 1010 (inclusive) that are divisible by neither 12 nor by 15?