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Question

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

A
4
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B
3
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C
5
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D
None of these
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Solution

The correct option is C 5
We know, Dividend=(Divisor×Quotient)+Remainder
(56×Q)+29=D ------ ( 1 )
D÷R=R ------ ( 2 )
((56×Q)+29)÷8=R [ Substituting ( 1 ) in ( 2 ) ]
Since 56 is alredy divisible by 8
29÷8=R
85÷8
R=5
Required remainder is 5.


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