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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 x and y ##### This topic has 1 expert reply and 0 member replies ### Top Member ## If x and y If x and y are greater than 1, is the largest prime factor of x greater than the largest prime factor of y? (1) x = 7^n (2) The least common multiple of x and y is 105. Which of the statement is sufficient? OA E ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 Top Reply lheiannie07 wrote: If x and y are greater than 1, is the largest prime factor of x greater than the largest prime factor of y? (1) x = 7^n (2) The least common multiple of x and y is 105. Which of the statement is sufficient? OA E Statement 1 is clearly not sufficient, as we have nothing about y. If x = 7 and y = 2, we get a YES, if x = 7 and y = 11, we get a NO. Statement 2: 105 = 3 * 5 * 7. We know that between x and y, there must be a 3 and a 5 and a 7. And neither can have more than one of these prime bases within its prime factorization. Case 1: x = 7, y = 3*5; The answer here is YES, the greatest prime factor of x is larger than the greatest prime factor of y. Case 2: x = 7; y = 3*5*7; The answer here is NO, the greatest prime factor of x is not larger than the greatest prime factor of y. Notice that when we're testing together, we can use those same cases, thus generating a YES and a NO. Together the statements are not sufficient to answer the question. The correct answer is E _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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