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The remainder when 120 is divided by single-digit integer m

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The remainder when 120 is divided by single-digit integer m [#permalink] New post 26 Aug 2017, 02:24
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25% (01:54) correct 75% (02:03) wrong based on 4 sessions



The remainder when 120 is divided by single-digit integer m is positive, as is the remainder when 120 is divided by single-digit integer n. If m > n, what is the remainder when 120 is divided by m – n?

enter your value

[Reveal] Spoiler: OA
zero

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Re: The remainder when 120 is divided by single-digit integer m [#permalink] New post 28 Aug 2017, 15:07
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Carcass wrote:
The remainder when 120 is divided by single-digit integer m is positive, as is the remainder when 120 is divided by single-digit integer n. If m > n, what is the remainder when 120 is divided by m – n?

enter your value

[Reveal] Spoiler: OA
zero


IMPORTANT: If k = 1, 2, 3, 4, 5, 6, or 8 then the remainder will be ZERO when we divide 120 by k
The only two (1-digit) values that DO leave a remainder are 7 and 9
So, it must be the case that m = 9 and n = 7

If m > n, what is the remainder when 120 is divided by m – n?
m = 9 and n = 7, so m - n = 9 - 7 = 2
When we divide 120 by 2, the remainder is 0

Answer:
[Reveal] Spoiler:
0


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Brent
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Re: The remainder when 120 is divided by single-digit integer m   [#permalink] 28 Aug 2017, 15:07
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The remainder when 120 is divided by single-digit integer m

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