The number of 3 digit numbers which is divisible by 2 and 3 but not divisible by 4 and 9. (24 Jan, Shift I, Memory Based…
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The number of 3 digit numbers which is divisible
by 2 and 3 but not divisible by 4 and 9.
(24 Jan, Shift I, Memory Based)
✓ Correct answer: d)
125
Explanation
If number is divisible by 4 & 9 then is divisible by 36.
Total 3 digit numbers are 900
Required 3 digit number = Total 3 digit number which are divisible by 6 - total 3 digit number which are divisible by 36
= \(\frac{900}{6} - \frac{900}{36}\) = 125
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