The number of 3 -digit numbers, that are divisible by 2 and 3 , but not divisible by 4 and 9 , is______.

Question

Aicharya · Accepted Answer

No, of 3 digits $=999-99=900$
No. of 3 digit numbers divisible by 2 \& 3 i.e. by 6
$\frac{900}{6}=150$
No. of 3 digit numbers divisible by 4 \& 9 i.e. by 36
$\frac{900}{36}=25$
$\therefore$ No of 3 digit numbers divisible by $2 \& 3$ but not by $4 \& 9$
$150-25=125$

The number of 3 -digit numbers, that are divisible by 2 and 3 , but not divisible by 4 and 9 , is______.

Solution