2. On dividing a number by 56, we get 29 as remainder. On dividing the same number by
what will be the remainder ?
(S.S.C 20
(a) 4
(5) 5
(6 6
(d) 7
me number
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When dividing a number by 56 we get 29 as remainder if we divide the same number by 8 What will be the remainder?
On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ? Hence, if the number is divided by 8, we will get 5 as remainder.
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ANSWER
⇒ 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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