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Re: When a certain number is divided by 7, [#permalink]
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rahulroy1676 wrote:
When a certain number is divided by 7, the remainder is 5. What is the remainder when twice of the number is divided by 14?

A. 5
B. 7
C. 10
D. 12
E. None of the above


Another approach is to test a value that meets the given information

GIVEN: When a certain number is divided by 7, the remainder is 5
So, it COULD be the case that the number is 5 (since 5 divided by 7 equals 0 with remainder 5)

What is the remainder when twice the number is divided by 14?
If the number is 5, then twice the number is 10
10 divided by 14 equals 0 with remainder 10

Answer: C

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Re: When a certain number is divided by 7, [#permalink]
Given that When a certain number is divided by 7, the remainder is 5. And we need to find What is the remainder when twice the number is divided by 14

When a certain number is divided by 7, the remainder is 5

n -> Dividend (Assume)
7 -> Divisor
a -> Quotient (Assume)
5 -> Remainders
=> n = 7*a + 5 = 7a + 5

What is the remainder when twice the number is divided by 14

2n = 2*(7a + 5 ) = 14a + 10

=> Twice of the number gives 10 as remainder when divided by 14

So, Answer will be C
Hope it helps!

Watch the following video to learn the Basics of Remainders

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