Q.

The number of 3-digit numbers, that are divisible by 2 and 3, but not divisible by 4 and 9, is __________.          [2025]


Ans.

(125)

Number of 3-digits = 999 – 99 = 900

Number of 3-digit numbers divisible by 2 & 3 i.e., by 6,

        9006=150

Number of 3-digit numbers divisible by 4 & 9 i.e., by 36,

         90036=25

  Number of 3-digit numbers divisible by 2 & 3 but not 4 & 9 = 150 – 25 = 125.