How many numbers from 0 to 999 are not divisible by either 5 or 7?

Mathematics
1

how many numbers from 0 to 999 are not divisible by either 5 or 7?

2

Answer:

  • Numbers from 0 to 999 are divisible by 7

    ⇒ 999/7

    ⇒ 142 (integer only)

  • Number between 0 and 999 divisible by 5

    ⇒ 999/5

    ⇒ 199 (integer only)

  • Total numbers divisible by 5 and 7 are divisible by 35.

    Numbers from 0 to 999 are numbers divisible by 35.

    ⇒ 28

  • Total number divisible only by 5 or 7,

    ⇒ 142 + 199 - 28

    ⇒ 313

    • Number of numbers from 0 to 999 that are not divisible by 5 or 7;

    ⇒ 999 - 313

    ⇒ 686.