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If the sum of two distinct natural numbers is 50, then what

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phoenixio
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If the sum of two distinct natural numbers is 50, then what [#permalink] New post   Updated on: 05 Nov 2017, 01:46
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If the sum of two distinct natural numbers is 50, then what is the maximum possible HCF of these 2 numbers?

(A) 5
(B) 7
(C) 10
(D) 11
(E) 12
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Official Answer
C

Originally posted by phoenixio on 19 Aug 2016, 22:25.
Last edited by Bunuel on 05 Nov 2017, 01:46, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Sonalika42
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Re: Max possible HCF [#permalink] New post   24 Aug 2016, 00:54
C
QA Plzz
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Re: Max possible HCF [#permalink] New post   24 Aug 2016, 02:00
I don't know the official answer, but I also think that answer is C, as two numbers will be 40 and 10, and their HCF is 10
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Re: Max possible HCF [#permalink] New post   05 Nov 2017, 01:42
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Having a HCF means that this number can be factored out from the two numbers summed to get 50. Thus, it would be something as \(c(x+y) = 50\)- Thus, 50 must be divisible by the HCF c. Then, the highest number among the choices that is a factor of 50 is 10. Answer C
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Re: If the sum of two distinct natural numbers is 50, then what [#permalink] New post   23 Jun 2022, 21:27
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If the sum of two distinct natural numbers is 50, then what [#permalink]
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