Mathematics · Permutations and Combinations

JEE Main 2025 — 24 January, Morning Shift — Question 23

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

Answer: 125

Numerical answer — enter this value.

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

Answer key and solution verified before publishing.

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