The number of integers from 1 to 1000 which are divisible by 2 or 3 is
The number of integers from 1 to 1000 which are divisible by 2 or 3 is
$88$
$667$
$58$
$47$
Solution
The number which is divisible by 2 from 1 to $1000$
$=\left[\frac{1000}{2}\right]=500$
The number which is divisible by 3 from 1 to 1000
$=\left[\frac{1000}{3}\right]=333$
The number which is divisible by 2 and 3 or
divisible by 6 from 1 to 1000 is $\left[\frac{1000}{6}\right]=166$
The number divisible by 2 or 3
$=500+333-166=667$