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# M16-35

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Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129048 [0], given: 12187

Re: M16-35 [#permalink]

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29 May 2017, 04:37
AAmulya wrote:
I think this is a high-quality question and I don't agree with the explanation. Question says " when x is divided by a, the remainder is b" so that would mean that x+b is divisible by a.
So the option "x+b is divisible by a" is also correct

How did you come up with that conclusion? It's not true. You could test it yourself.

Say x = 5, a = 3, and b = 2. All conditions are satisfied:

$$x=5$$ is divided by $$a=3$$, the remainder is $$b=2$$.
$$x=5$$ is divided by $$b=2$$, the remainder is $$a-2=1$$.

But x + b = 5 + 2 = 7, which is NOT divisible by a = 3.

Hope it's clear.
_________________

Kudos [?]: 129048 [0], given: 12187

Intern
Joined: 11 Jul 2016
Posts: 24

Kudos [?]: 58 [0], given: 276

Location: Thailand
GMAT 1: 700 Q48 V38
Re M16-35 [#permalink]

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26 Jun 2017, 18:09
I think this is a high-quality question and I agree with explanation.

Kudos [?]: 58 [0], given: 276

Intern
Joined: 13 Jul 2016
Posts: 2

Kudos [?]: [0], given: 33

Re M16-35 [#permalink]

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19 Sep 2017, 07:44
I think this is a high-quality question and I agree with explanation.

Kudos [?]: [0], given: 33

Re M16-35   [#permalink] 19 Sep 2017, 07:44

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# M16-35

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