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

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Manager
Joined: 09 Jan 2016
Posts: 104
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WE: General Management (Human Resources)
On dividing a number by 56, we get 29 as remainder.  [#permalink]

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01 Jul 2017, 06:20
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Difficulty:

5% (low)

Question Stats:

85% (00:43) correct 15% (01:43) wrong based on 48 sessions

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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
Senior Manager
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Concentration: Finance
GPA: 3.5
Re: On dividing a number by 56, we get 29 as remainder.  [#permalink]

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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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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

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

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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.

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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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