What is the number of integers from 1 to 500 (inclusive) that are divisible by neither 10 nor by 15?	Choose the correct answer
A) 170
B) 250
C) 300
D) 560
E) 420
In 500 consecutive numbers, number of multiples of 10 = 500/10= 
<gadget id="calculator">500/10</gadget>
<output>50</output>
50 (Ignore decimals)   In 500 consecutive numbers, number of multiples of 15= 500/15 = 33   Number of multiples of 10*15 i.e. 150 = 500/150 = 3   Number of integers from 1 to 500 that are divisible by neither 10 nor by 15 = 500 - (50 + 33 - 3) {Using the concept of sets here) = 420   Answer is 420
<result>E</result>
What is the number of integers from 1 to 500 (inclusive) that are divisible by neither 10 nor by 15?