What is the number of integers from 1 to 500 (inclusive) that are divisible by neither 10 nor by 15? Pick.
A) 170 B) 250 C) 300 D) 560 E) 420

Rationale: in 500 consecutive numbers , number of multiples of 10 = 500 / 10 = 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 e
Answer: E