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The remainder when the positive integer m is divided by 7 is

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The remainder when the positive integer m is divided by 7 is [#permalink] New post 21 Apr 2018, 03:25
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The remainder when the positive integer m is divided by 7 is x. The remainder when m is divided by 14 is x + 7. Which one of the following could m equal?

(A) 45
(B) 53
(C) 72
(D) 85
(E) 100
[Reveal] Spoiler: OA

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Re: The remainder when the positive integer m is divided by 7 is [#permalink] New post 21 Apr 2018, 22:08
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I used calculator to solve this problem. Divide all numbers with 14 and for whichever number the decimal has value greater that 0.5. That would be the answer. Hence B

Number should have 7+x remainder. When the remainder is exactly 7, the decimal would be 0.5. But as it is greater than 7, value should be greater than 0.5
Re: The remainder when the positive integer m is divided by 7 is   [#permalink] 21 Apr 2018, 22:08
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The remainder when the positive integer m is divided by 7 is

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