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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…

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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)

a

50

b

75

c

110

d

125

✓ 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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