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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 ## Is x odd? tagged by: BTGmoderatorLU ##### This topic has 1 member reply ### Top Member ## Is x odd? Is x odd? (1) x/2 is not an integer (2) 2x + 3 is odd. The OA is C. I don't have clear why that is the correct answer. Please, can any expert assist me with this DS question? Thanks. Legendary Member Joined 03 Feb 2014 Posted: 2073 messages Followed by: 135 members Upvotes: 955 GMAT Score: 800 Question: Is x odd? Statement 1: x/2 is not an integer Possibilities: x is odd. For example, x = 3. 3/2 = 1.5, which is not an integer. x is a fraction. For example, x = 1/2. (1/2)/2 = 1/4, which is not an integer. Two different possibilities. Insufficient. (2) 2x + 3 is odd. Possibilities: x is even. For example, x = 2. 2(2) + 3 = 7, which is odd. x is odd. For example, x = 1. 2(1) + 3 = 5, which is odd. Two different possibilities. Insufficient. Statements Combined: We have three possibilities from the two statements. x is odd. x is even. x is a fraction. If we can eliminate two, we will have sufficient information. If we plug an even number into the expression from Statement 1 we get the following. Even Number/2 = Integer This is contrary to Statement 1. So, x cannot be even. Statement 2 combines 2x + 3 to get an odd number. Since even + odd = odd, 2x must be even. There is no way to multiply a fraction by 2 to get an even number. Consider the following examples. 2 * 1/2 = 1 2 * 1/3 = 2/3 2 * 1 1/2 = 3 So, x cannot be a fraction. Therefore, x must be odd. Sufficient. The correct answer is C. _________________ Marty Murray GMAT Coach m.w.murray@hotmail.com https://infinitemindprep.com/ In Person in the New York Area and Online Worldwide • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for 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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