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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 ## GMATPrep Problem - DS ##### This topic has 1 expert reply and 1 member reply ## GMATPrep Problem - DS If 500 is the multiple of 100 that is closest to x and 400 is the multiple of 100 that is closest to y, which multiple of 100 is closest to x+y? (1) x < 500 (2) y < 400 OA [spoiler]E[/spoiler] Senior | Next Rank: 100 Posts Joined 13 Oct 2009 Posted: 43 messages If 500 is the multiple of 100 that is closest to x and 400 is the multiple of 100 that is closest to y, which multiple of 100 is closest to x+y? (1) x < 500 (2) y < 400 okay, so off the bat we can tell that 450 so 800 now this doesn't solve our answer, but it's a start. Let's correct our formulas for each part. (1) 450 800 this tells us it's either 800 or 900, but not which one. (2) 350 800 same as (1) together 800 it could be either 800 or 900 still, so I'd go with E. ### GMAT/MBA Expert GMAT Instructor Joined 21 May 2010 Posted: 1053 messages Followed by: 98 members Upvotes: 335 An important take-away here is that if inequalities face the same way, they can be safely added. for example, if a>b and c>d, then it's safe to conclude that a+c>b+d. However, one way in which inequalities are very different from equations is that you cannot subtract inequalities. If a>b and c>d, it is not safe to subtract one from the other and conclude that a-c>b-d. This may or may not be true. The question above is GMATPrep question 1064. A detailed video solution of it is available. -Patrick _________________ Ask me about tutoring. • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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