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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 mx = m, then what is the value of m? tagged by: VJesus12 ##### This topic has 1 expert reply and 1 member reply ## If mx = m, then what is the value of m? If mx = m, then what is the value of m? (1) m has only one multiple. (2) x has only one distinct factor. The OA is A. Why is not sufficient the statement (2)? Experts, may you help me to solve this DS question? Thanks in advanced. ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1607 messages Followed by: 27 members Upvotes: 470 VJesus12 wrote: If mx = m, then what is the value of m? (1) m has only one multiple. (2) x has only one distinct factor. The OA is A. Why is not sufficient the statement (2)? Experts, may you help me to solve this DS question? Thanks in advanced. Given: mx = m We have to find out the value of m. Let's take each statement one by one. (1) m has only one multiple. 0 is the only number that has only one multiple, thus m = 0. Sufficient. Sufficient. Note multiples of 1 are 1, 2, 3, ... (2) x has only one distinct factor. 1 is the only number that has only one distinct factor, thus x = 1, but we cannot get the unique value m. m can take any value; for example 0*1 = 0; 10*1 = 10, etc. Insufficient. The correct answer: A Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: New York | Jakarta | Nanjing | Berlin | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. Legendary Member Joined 07 Sep 2017 Posted: 808 messages Followed by: 3 members Upvotes: 6 Hello Vjesus12. I'd solve it as follows: (1) m has only one multiple. This implies that, given any integers x and y, we get that $$m\cdot x=m\cdot y\ \ \ \ \forall\ x,y\ \in R.$$ Now, the only number that satisfy this condition is m=0. Hence, this statement is Sufficient. (2) x has only one factor. This implies that the prime factorization of x is only one number, and the unique number that satisfy this condition is x=1. Therefore, we have that mx=m implies that m=m. But this doesn't tell us what is the value of m. INSUFFICIENT. Because of this, the answer is the option A. • FREE GMAT Exam Know how you'd score today for$0

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