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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 ## x is a two-digit integer and y is a three-digit integer that ##### This topic has 1 expert reply and 0 member replies ### Top Member ## x is a two-digit integer and y is a three-digit integer that ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult x is a two-digit integer and y is a three-digit integer that is divisible by x. If z is the value of the quotient y/x, is the units digit of z greater than 3? (1) The units digit of x is 3. (2) The units digit of y is the same as the units digit of x. OA C Source: Veritas Prep ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1890 messages Followed by: 30 members Upvotes: 470 Top Reply BTGmoderatorDC wrote: x is a two-digit integer and y is a three-digit integer that is divisible by x. If z is the value of the quotient y/x, is the units digit of z greater than 3? (1) The units digit of x is 3. (2) The units digit of y is the same as the units digit of x. OA C Source: Veritas Prep Given: x is a two-digit integer and y is a three-digit integer that is divisible by x, and z is the value of the quotient y/x. Question: Is the units digit of z greater than 3? Let's take each statement one by one. (1) The units digit of x is 3. We have no information about y. Insufficient. Say y = 230 and x = 23, then y/x = 10 => z = 0 < 3. However, if say y = 138 and x = 23, then y/x = 6 => z = 6 > 3. No unique answer. Insufficient. (2) The units digit of y is the same as the units digit of x. Say say y = 120 and x = 20, then z = y/x = 6 => Units digit of z = 6 > 3. However, if say y = 110 and x = 10, then z = y/x = 11 => Units digit of z = 1 < 3. No unique answer. Insufficient. (1) and (2) together Say y = ab3 and x = p3 => y/x = z = ab3/p3 => ab3 = p3 * z Thus, we must have units digit of 3z = 3; this is possible only if the units digit of z equals 1. The answer is No. A unique answer. Sufficient. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review India | Manhattan Review Hyderabad | Dilsukhnagar GMAT Courses | Mehdipatnam GRE Prep | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • 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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