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When a number S is divided by 3,4, and 7 successively, remainders obtained are 2,1, and 4 respectively. What will be the remainder when the same number is divided by 84?

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Important Questions on Numbers and Their Properties

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What is the remainder when 1714×1715×1717 is divided by 12?
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If a, b, c and d are distinct integers in the range 10-15 (both inclusive), find the greatest value of (a+b) (c+d).
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The smallest natural number which is a perfect square and is of the form abbb lies in between:
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How many number of zeroes will be there at the end of 12! expressed in base 6?
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Find the remainder when (22225555+55552222) is divided by 7.
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LCM of first 100 natural numbers is N. What is the LCM of first 105 natural numbers?
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How many divisors of 105 end with a zero?