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On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?

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Explanation:

Formula: [Divisor*Quotient] + Remainder = Dividend.

Soln:

[56*Q]+29 = D -------(1)

D%8 = R -------------(2)

From equation 2,

[56*Q+29]%8 = R.

=> Assume Q = 1.

=> [56+29]%8 = R.

=> 85%8 = R

=> 5 = R.

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