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On dividing a number by 56, we get 29 as remainder.

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On dividing a number by 56, we get 29 as remainder.  [#permalink]

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New post 01 Jul 2017, 06:20
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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 ?

A.3

B.4

C.5

D.7

E.2
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Re: On dividing a number by 56, we get 29 as remainder.  [#permalink]

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New post 01 Jul 2017, 06:38
\(56+29 = 85\)

\(\frac{85}{8}\) gives \(5\) as remainder. Ans - C.
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Re: On dividing a number by 56, we get 29 as remainder.  [#permalink]

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New post 01 Jul 2017, 07:31
Chemerical71 wrote:
On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?

A.3

B.4

C.5

D.7

E.2


Least possible number is 29

29 divided by 8 will result in remainder as 5

Answer will be (C)

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On dividing a number by 56, we get 29 as remainder.  [#permalink]

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New post 01 Jul 2017, 08:46
Chemerical71 wrote:
On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?

A.3

B.4

C.5

D.7

E.2

\(\frac{N}{56}\) = a + \(\frac{29}{56}\)

N = 56a + 29

N = (8)(7)a + 29

\(\frac{N}{8}\) = 7a + \(\frac{29}{8}\)

\(\frac{29}{8}\) = 3 + R5

Or, 8 is a factor of N, so the original remainder 29 can be divided by 8; that remainder is the answer.

Answer C
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On dividing a number by 56, we get 29 as remainder.   [#permalink] 01 Jul 2017, 08:46
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