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# Each of the following numbers has a remainder of 2 when divided by 11

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Math Expert
Joined: 02 Sep 2009
Posts: 53768
Each of the following numbers has a remainder of 2 when divided by 11  [#permalink]

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01 Apr 2016, 04:04
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Difficulty:

5% (low)

Question Stats:

91% (00:38) correct 9% (00:37) wrong based on 168 sessions

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Each of the following numbers has a remainder of 2 when divided by 11 except:

A. 2
B. 13
C. 24
D. 57
E. 185

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Intern
Joined: 26 Nov 2015
Posts: 30
Re: Each of the following numbers has a remainder of 2 when divided by 11  [#permalink]

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01 Apr 2016, 04:11
Bunuel wrote:
Each of the following numbers has a remainder of 2 when divided by 11 except:

A. 2
B. 13
C. 24
D. 57
E. 185

It's E
2 = 2
13 = 11*1 +2
24 = 11*2 +2
55 = 11*5 +2

185 = 11*10 + 11*66 +9
So it doesn't have a reminder of 2
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Posts: 25
Re: Each of the following numbers has a remainder of 2 when divided by 11  [#permalink]

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08 Apr 2018, 07:09
1
It's E
2 = 2
13 = 11*1 +2
24 = 11*2 +2
55 = 11*5 +2

185 = 11*10 + 11*66 +9
So it doesn't have a reminder of 2
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Posts: 2825
Re: Each of the following numbers has a remainder of 2 when divided by 11  [#permalink]

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04 Sep 2018, 04:33
Bunuel wrote:
Each of the following numbers has a remainder of 2 when divided by 11 except:

A. 2
B. 13
C. 24
D. 57
E. 185

Since 2, 13, 24, and 57 all have a remainder of 2 when divided by 11, we see that 185 must not have a remainder of 2 when divided by 11.

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Each of the following numbers has a remainder of 2 when divided by 11  [#permalink]

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04 Sep 2018, 09:21
Bunuel wrote:
Each of the following numbers has a remainder of 2 when divided by 11 except:

A. 2
B. 13
C. 24
D. 57
E. 185

All the solutions above are correct, here can be an alternate approach...

Given Option - 2 must be divisible by 11

(A) $$\frac{2 - 2}{11}$$ = Remainder 0

(B) $$\frac{13 - 2}{11} = \frac{11}{11}$$ = Remainder $$0$$

(C) $$\frac{24 - 2}{11} = \frac{22}{11}$$ = Remainder $$0$$

(D) $$\frac{57- 2}{11} = \frac{55}{11}$$ = Remainder $$0$$

(E) $$\frac{185 - 2}{11} = \frac{183}{11}$$ = Remainder $$7$$

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Re: Each of the following numbers has a remainder of 2 when divided by 11  [#permalink]

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04 Sep 2018, 12:15
Top Contributor
NOTE: this is one of those questions that require us to check/test each answer choice.
In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top.

For more on this strategy, see the following article: http://www.gmatprepnow.com/articles/han ... -questions

Cheers,
Brent
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Re: Each of the following numbers has a remainder of 2 when divided by 11   [#permalink] 04 Sep 2018, 12:15
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