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

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Intern
Joined: 03 Jun 2016
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If the sum of two distinct natural numbers is 50, then what [#permalink]  19 Aug 2016, 22:25
00:00

Question Stats:

33% (00:00) correct 66% (00:46) wrong based on 3 sessions
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
[Reveal] Spoiler: OA

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.
Manager
Joined: 12 Jan 2016
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Re: Max possible HCF [#permalink]  24 Aug 2016, 00:54
C
QA Plzz
Intern
Joined: 03 Jun 2016
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Re: Max possible HCF [#permalink]  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
Director
Joined: 03 Sep 2017
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Re: Max possible HCF [#permalink]  05 Nov 2017, 01:42
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
Re: Max possible HCF   [#permalink] 05 Nov 2017, 01:42
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