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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 a and b are odd integers, a Î" b represents the product o ##### This topic has 2 expert replies and 0 member replies ### Top Member ## If a and b are odd integers, a Î" b represents the product o ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult If a and b are odd integers, a Î" b represents the product of all odd integers between a and b, inclusive. If y is the smallest prime factor of (3 Î" 47) + 2, which of the following must be true? (A) y > 50 (B) 30 â‰¤ y â‰¤ 50 (C) 10 â‰¤ y < 30 (D) 3 â‰¤ y < 10 (E) y = 2 OA A Source: Manhattan Prep ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2950 messages Followed by: 19 members Upvotes: 43 Top Reply BTGmoderatorDC wrote: If a and b are odd integers, a Î" b represents the product of all odd integers between a and b, inclusive. If y is the smallest prime factor of (3 Î" 47) + 2, which of the following must be true? (A) y > 50 (B) 30 â‰¤ y â‰¤ 50 (C) 10 â‰¤ y < 30 (D) 3 â‰¤ y < 10 (E) y = 2 OA A Source: Manhattan Prep Since none of the odd numbers between 3 and 47 (inclusive) divides into (3 ï¿½" 47) + 2, the smallest prime factor of (3 ï¿½" 47) + 2 must be greater than 47. The smallest prime number greater than 47 is 53, so y is at least 53. Answer: A _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 2019 messages Followed by: 31 members Upvotes: 470 Top Reply BTGmoderatorDC wrote: If a and b are odd integers, a Î" b represents the product of all odd integers between a and b, inclusive. If y is the smallest prime factor of (3 Î" 47) + 2, which of the following must be true? (A) y > 50 (B) 30 â‰¤ y â‰¤ 50 (C) 10 â‰¤ y < 30 (D) 3 â‰¤ y < 10 (E) y = 2 OA A Source: Manhattan Prep We have 3 Î" 47 = 3*5*7*9 ....*47. We see that the largest prime number that divides 3 Î" 47 is 47. Note that (3 Î" 47) and (3 Î" 47) + 2 are consecutive odd numbers; thus, they are co-prime to each other. It means that no factor between them is common. Now since (3 Î" 47) + 2 is an odd number, and the largest prime number that divides (3 Î" 47) is 47, the smallest prime number that divides (3 Î" 47 + 2) must be greater than 47. Thus, the correct answer is A. The correct answer: A Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | TOEFL Prep Courses Boston | IELTS Prep Courses San Francisco | Philadelphia ACT Tutoring | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • Award-winning private GMAT tutoring Register now and save up to$200

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