JEE Main202524 Jan 2025Morning ShiftMathematicsSequences and SeriesActual

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

Correct answer

Step-by-step solution

No, of 3 digits =999-99=900 No. of 3 digit numbers divisible by 2 & 3 i.e. by 6 900 6 =150 No. of 3 digit numbers divisible by 4 & 9 i.e. by 36 900 36 =25 No of 3 digit numbers divisible by 2 ~ &~ 3 but not by 4 ~ &~ 9150-25=125

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