Question

How many three-digit numbers are divisible by 2,3 or 5?

Answer 1

Answer:

764 numbers

Step-by-step explanation:

Number of multiples of 2: is 2x50–2x499 which is 450 numbers.

Number of multiples of 3: 3x34–3x333 is 300 numbers

Multiples of 5: 5x20–5x199 is 180 numbers

Multiples of 2x3 or 6: 6x17–6x62 or 46 numbers.

Multiples of 3x5 or 15: 15x7–15x66 or 60

numbers.

Multiples of 2x5 or 10: 10x10–10x99 or 90 numbers.

Multiples of 2x3x5 or 30: 30x4–30x33 or 30 numbers.

450+300+180–46–60–90+30=

764 numbers.