Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesA.P.Medium2 minPYQ_2025

MathematicsMediumstatement

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

Answer:

125

Solution:

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 $\frac{900}{36} = 25$ $∴$ No of 3 digit numbers divisible by $2 & 3$ but not by $4 & 9$ $150 - 25 = 125$

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:A.P.

⏱ 2mℹ️ Source: PYQ_2025

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