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is a three-digit number, such that the difference between the two three-digit numbers and is exactly . How many possible values exist for the digits and ?
(a)
(b)
(c)
(d)

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Important Questions on Number Systems
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What is the sum of all even numbers between and (both included)?

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The least number which can be added to so that it is completely divisible by is _____.

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The least number which can be subtracted from so that it is completely divisible by is _____.

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The least number which can be added to so that it is completely divisible by is _____.

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The least number which can be subtracted from so that it is completely divisible by is _____.

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Find the least five-digit number that is exactly divisible by .

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Find the maximum five-digit number that is exactly divisible by .

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The nearest integer to which is exactly divisible by is _____.
