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For a number to be divisible by , it should be_____.

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Important Questions on Number Systems
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Find the number of divisors of .

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Find the GCD of the polynomials and .

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Find the LCM of and .

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The product of three consecutive natural numbers, the first of which is an even number, is always divisible by_____.

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Some birds settled on the branches of a tree. First, they sat such that there was one bird present on each branch, and as such, there was one bird too many. Next, they sat such that there were two birds present on each branch, and as such, there was one branch too many. How many branches were there on the tree?

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The square of a number greater than that is not divisible by three, when divided by three, leaves a remainder of _____.

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The value of the expression is _____.

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If , , , and , then _____.
