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21 Sep 2012, 10:00
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
64% (01:55) correct
36%
(01:51)
wrong
based on 871
sessions
History
Date
Time
Result
Not Attempted Yet
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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A) n - 1
B) n + 10
C) n - 100
D) n + 100,000
E) n - 100,000
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: https://gmatclub.com/forum/veritas-prep ... 38806.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.
21 Sep 2012, 10:00
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We have a winner!
Winner:
devopamOfficial Explanation:
Answer is EThis 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.
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
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
