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When a certain number is divided by 7,

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rahulroy1676
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When a certain number is divided by 7, [#permalink] New post   Updated on: 06 Jul 2019, 06:00
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When a certain number is divided by 7, the remainder is 5. What is the remainder when twice the number is divided by 14?

A. 5

B. 7

C. 10

D. 12

E. None of the above
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Official Answer
C

Originally posted by rahulroy1676 on 06 Jul 2019, 00:44.
Last edited by GreenlightTestPrep on 06 Jul 2019, 06:00, edited 2 times in total.
Edited by Carcass
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rahulroy1676
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Re: GRE question [#permalink] New post   06 Jul 2019, 00:44
1
When a certain number is divided by 7, the remainder is 5, so the number must be of the form 7k + 5 = n, say. (Using Dividend = Divisor × Quotient + Remainder).
We need to find the remainder when twice of the number is divided by 14. Twice the number = 2n = 2(7k + 5) = 14k +10 which, when divided by 14, will give a remainder of 10.
So, the answer is C.
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Re: When a certain number is divided by 7, [#permalink] New post   06 Jul 2019, 02:37
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Re: When a certain number is divided by 7, [#permalink] New post   06 Jul 2019, 06:00
1
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] New post   20 Oct 2022, 08:17
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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Re: When a certain number is divided by 7, [#permalink]
20 Oct 2022, 08:17
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