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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 ## What is the value of x? ##### This topic has 2 expert replies and 0 member replies ### Top Member ## What is the value of x? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult What is the value of x? (1) x has exactly 3 factors. (2) 10 < x < 45 OA C Source: Veritas Prep ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1975 messages Followed by: 30 members Upvotes: 470 Top Reply BTGmoderatorDC wrote: What is the value of x? (1) x has exactly 3 factors. (2) 10 < x < 45 OA C Source: Veritas Prep Note that a prime number has 3 factors, a perfect square of a prime number has three factors, a perfect square of a non-prime number and others has more than three factors. 1. Prime number: Say 2, 3, 5, 7, 11. All have two factors. 2. Perfect square of prime numbers: Say 4, 9, 25, 49, etc. All have three factors. 3. Perfect square of nonprime numbers: Say 16, 36, 64, etc. All have more than three factors. 4. Others: Say 6, 8, 10, etc. All have more than three factors. Needless to state that each statement alone is insufficient. Only one number in the range 10 < x < 45 qualifies, i.e., x = 25. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Jayanagar | GMAT Prep Jayanagar | GRE Prep Madhapur | Kukatpally GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15348 messages Followed by: 1864 members Upvotes: 13060 GMAT Score: 790 Top Reply BTGmoderatorDC wrote: What is the value of x? (1) x has exactly 3 factors. (2) 10 < x < 45 Statement 1: To have exactly 3 positive factors, x must be the square of a prime number. Factors of x=2Â²=4: 1, 2, 4 Factors of x=3Â²=9: 1, 3, 9 Factors of x=5Â²=25: 1, 5, 25. Since x can be different values, INSUFFICIENT. Statement 2: Clearly INSUFFICIENT. Statements combined: x must be the square of prime number such that 10 < x < 45. Only the blue case above is viable. Thus, x=25. SUFFICIENT. The correct answer is C. _________________ 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. • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant 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 • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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