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Re: If n = 14,444, which of the following operations will not yield [#permalink]
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14444/11 => the remainder = 1.
A. 1-1 =0 => remainder = 0
B. 1 + 10 =11 => remainder = 0
C. 1 - 100 = -99 => remainder =0
D. 1 + 100000 = 100001 which is divisible by 11
E. Correct

Originally posted by monsama on 21 Sep 2012, 10:05.
Last edited by monsama on 21 Sep 2012, 10:19, edited 2 times in total.
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Re: If n = 14,444, which of the following operations will not yield [#permalink]
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We have a winner!



Winner:

devopam

Official Explanation:

Answer is E

This question can be made significantly easier by first previewing the answer choices. Choices A and B are 11 apart, and choice C is 99 away from choice A on the number line. Therefore, those choices are all separated by multiples of 11, and if one of them is divisible by 11, then so are the others. Choice D may be better viewed by simply looking at the number. D comes out to 114444, which is 110000 (a multiple of 11) plus 4400 (another multiple of 11) plus 44 (another multiple of 11). Choice E is the answer that doesn’t fit. It’s 99,999 away from choice A, for example – not separated by a multiple of 11 (99000 + 990 + 9, not a multiple of 11).

Note that this question can be solved by simply checking out each answer choice and dividing by 11, as well. But a keen understanding of the number line and factors/multiples may make this question quicker for you.
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Re: If n = 14,444, which of the following operations will not yield [#permalink]
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Re: If n = 14,444, which of the following operations will not yield [#permalink]
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