JEE MAIN - Mathematics (2025 - 24th January Morning Shift - No. 25)
The number of 3 -digit numbers, that are divisible by 2 and 3 , but not divisible by 4 and 9 , is _________.
Answer
125
Explanation
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 $4 \& 9$
$$150-25=125$$
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