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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If n is a positive integer, is n^2+2n+44 divisible by 4? tagged by: Max@Math Revolution ##### This topic has 1 expert reply and 0 member replies ### GMAT/MBA Expert ## If n is a positive integer, is n^2+2n+44 divisible by 4? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult [GMAT math practice question] If n is a positive integer, is n^2+2n+44 divisible by 4? 1) n is an even integer. 2) n^2 is divisible by 144 _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
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Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question.

Asking if “n^2+2n+44 is divisible by 4” is equivalent to asking if n is an even integer, since 44 is a multiple of 4 and n^2+2n = n(n+2) is a multiple of 4 when n is an even number.
Thus, condition 1) is sufficient.

Condition 2)
Since n^2 is divisible by 144, n is divisible by 12 and n is an even number.
Thus, condition 2) is also sufficient.

Note: Tip 1) of the VA method states that D is most likely to be the answer if condition 1) gives the same information as condition 2).

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