Write some numbers which are divisible by $2, 3, 5, 9$ and $10$ also.

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Solution

LCM of these numbers is 180
So, numbers should be divisible by 180
$\Rightarrow 180, 360, 720, 1800, 900$

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(d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.

(e) If two numbers are co-primes, at least one of them must be prime.

(f) All numbers which are divisible by 4 must also be divisible by 8.

(g) All numbers which are divisible by 8 must also be divisible by 4.

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(i) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.

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