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

Question

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

Answer: 125

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

$\frac{900}{36}=25$

$	herefore $ No of 3 digit numbers divisible by $2\&3$ but not by $4\&9$

$150-25=125$

Solutions · 1