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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 an integer greater than 1, what is the value of n? tagged by: Max@Math Revolution ##### This topic has 3 expert replies and 0 member replies ### GMAT/MBA Expert ## If n is an integer greater than 1, what is the value of n? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult [Math Revolution GMAT math practice question] If n is an integer greater than 1, what is the value of n? 1) n is a prime number 2) (n+2)/n is an integer _________________ 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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Max@Math Revolution wrote:
[Math Revolution GMAT math practice question]

If n is an integer greater than 1, what is the value of n?

1) n is a prime number
2) (n+2)/n is an integer
Statement 1:
Here, n can be any prime number.
INSUFFICIENT.

Statement 2:
(n+2)/n = n/n + 2/n = 1 + 2/n.
Given that n must be an integer, 1 + 2/n will yield an integer value only if n is a FACTOR OF 2.
Factors of 2: 1 and 2.
Since n must be greater than 1, n=2.
SUFFICIENT.

The correct answer is B.

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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.

Since we have 1 variable (n) and 0 equations, D is most likely to be the answer. So, we should consider each of the conditions on their own first.

Condition 1)
Since there are many prime numbers, condition 1) is not sufficient.

Condition 2)
If n = 1, then (n+2)/n = 3 is an integer.
If n = 2, then (n+2)/n = 2 is an integer.
Since we don’t have a unique solution, condition 2) is not sufficient.

Conditions 1) & 2)
If n = 2, then (n+2)/n = 2 is an integer.
If n = 3, then (n+2)/n = 5/2 is not integer.
If n is a prime number bigger than 2, (n+2)/n is not an integer.
Thus n = 2 is the unique solution and both conditions together are sufficient.

Therefore, C is the answer.

If the original condition includes “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations” etc., one more equation is required to answer the question. If each of conditions 1) and 2) provide an additional equation, there is a 59% chance that D is the answer, a 38% chance that A or B is the answer, and a 3% chance that the answer is C or E. Thus, answer D (conditions 1) and 2), when applied separately, are sufficient to answer the question) is most likely, but there may be cases where the answer is A,B,C or E.

_________________ Math Revolution
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Only $149 for 3 month Online Course Free Resources-30 day online access & Diagnostic Test Unlimited Access to over 120 free video lessons-try it yourself Email to : info@mathrevolution.com ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15195 messages Followed by: 1861 members Upvotes: 13060 GMAT Score: 790 Max@Math Revolution wrote: Quote: If n is an integer greater than 1, what is the value of n? 1) n is a prime number 2) (n+2)/n is an integer Condition 2) If n = 1, then (n+2)/n = 3 is an integer. If n = 2, then (n+2)/n = 2 is an integer. Since we don’t have a unique solution, condition 2) is not sufficient. Conditions 1) & 2) If n = 2, then (n+2)/n = 2 is an integer. If n = 3, then (n+2)/n = 5/2 is not integer. If n is a prime number bigger than 2, (n+2)/n is not an integer. Thus n = 2 is the unique solution and both conditions together are sufficient. Therefore, C is the answer. Answer: C Since the prompt indicates that n is an integer greater than 1, the case in red is not possible. The only value that satisfies Statement 2 is n=2, making Statement 2 SUFFICIENT. The correct answer thus is not C but B. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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