How many such numbers are there from 500 to 750 (both inclusive) which are neither divisible by 3 nor by 11?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 151.
Number divisible by 3 upto 500 = 500/3 = 166
Number divisible by 11 upto 500 = 500/11 = 45
Number divisible by 33 upto 500 = 15
Number divisible by 3 upto 750 = 750/3 = 250
Number divisible by 11 upto 750 = 750/11 = 68
Number divisible by 33 upto 750 = 750/33 = 22
Number divisible by 3 between 500 and 750 = 250 - 166 = 84
Number divisible by 11 between 500 and 750 = 68 - 45 = 23
Number divisible by 33 between 500 and 750 = 22 - 15 = 7
Total number between 500 and 750 = 250 + 1 = 251
Required answer = 251 - (84 + 23 - 7)
⇒ 251 - 100 = 151