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Veritas Prep 10 Year Anniversary Promo Question #9

One quant and one verbal question will be posted each day starting on Monday Sept 17th at 10 AM PST/1 PM EST and the first person to correctly answer the question and show how they arrived at the answer will win a free Veritas Prep GMAT course ($1,650 value). Winners will be selected and notified by a GMAT Club moderator. For more questions and details please check here: veritas-prep-10-year-anniversary-giveaway-138806.html

To participate, please make sure you provide the correct answer (A,B,C,D,E) and explanation that clearly shows how you arrived at it. Winners will be announced the following day at 10 AM Pacific/1 PM Eastern Time.

If n = 14,444, which of the following operations will not yield a number that is divisible by 11?

A) n - 1 B) n + 10 C) n - 100 D) n + 100,000 E) n - 100,000
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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: Veritas Prep 10 Year Anniversary Promo Question #9 [#permalink]

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01 Oct 2012, 03:27

Rule to check the divisibility by 11 : If the difference of the sum of its digits in odd places and the sum of the digits in even places is either 0 or multiple of 11…then a number is divisible by 11

Option A : No comes out to be 14443 , Here odd place digits are 1 4 and 3 , and even placed digits are 4 and 4 .. So the difference is ZERO , therefore the number is divisible by 11 ..

We can work all the way down the list of answers given until we arrive to a number that is not divisible by 11 ...

- 85556 (N - 100,000) , the difference between the no comes out to be neither ZERO nor divisible by 11.. (E)
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Re: Veritas Prep 10 Year Anniversary Promo Question #9 [#permalink]

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11 Nov 2014, 04:21

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Re: Veritas Prep 10 Year Anniversary Promo Question #9 [#permalink]

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20 Jun 2016, 19:10

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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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