Verified Solution • 2025–26 Session moderate

QJEEM25Mabac2: JEE Main 2025 Mathematics - Class 11 JEEM25Mabac2 Solution: The number of 3 -digit numbers, that are divisible by 2 and 3 , …

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

Step-by-Step Verified Solution

No, of 3 digits =999−99=900=999-99=900

No. of 3 digit numbers divisible by 2 & 3 i.e. by 6

9006=150\frac{900}{6}=150

No. of 3 digit numbers divisible by 4 & 9 i.e. by 36

90036=25\frac{900}{36}=25

∴\therefore No of 3 digit numbers divisible by 2&32 \& 3 but not by 4&94 \& 9

150−25=125150-25=125

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