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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 ## When the positive number a is rounded to the nearest tenth, ##### This topic has 1 expert reply and 0 member replies ### Top Member ## When the positive number a is rounded to the nearest tenth, ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult When the positive number a is rounded to the nearest tenth, the result is the number b. What is the tenths digit of a? (1) When a is rounded to the nearest integer, the result is less than a. (2) When b is rounded to the nearest integer, the result is greater than b. OA C Source: Manhattan Prep ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1952 messages Followed by: 30 members Upvotes: 470 BTGmoderatorDC wrote: When the positive number a is rounded to the nearest tenth, the result is the number b. What is the tenths digit of a? (1) When a is rounded to the nearest integer, the result is less than a. (2) When b is rounded to the nearest integer, the result is greater than b. OA C Source: Manhattan Prep Say, a = x.yz, where x is units' digit, y is tenth digit, and z is hundredth digit and b = x.p, where x is units' digit, and p is tenth digit (p is either y or y + 1) We have to get the value of y. Let's take each statement one by one. (1) When a is rounded to the nearest integer, the result is less than a. Say the result is a' such that a' < a Or, a' = x, we see that x < x.yz Here, y can be any digit 0, 1, 2, 3, or 4. No unique value of y. Insufficient. (2) When b is rounded to the nearest integer, the result is greater than b. Say the result is b' such that b' > b Or, b' = x + 1, we see that (x + 1) > x.p Here, p can be any digit 5, 6, 7, 8, or 9. The value of p will depend on the values of y and z. Case 1: Say a = x.46, then b = x.5 and b' = x + 1. Here, y = 4 Case 2: Say a = x.56, then b = x.6 and b' = x + 1. Here, y = 5 No unique value of y. Insufficient. (1) and (2) together Considering Statement 1, we cannot have Case 2 as a valid case, else for a = x.56, we will have a' = x + 1 > a (= x.56); this is invalid since as per Statement 1, we must have a' < a. This implies that a must be x.4z, where z ≥ 5 This way, we have a = x.4z a' = x < a (= x.4z) b = x.5, since z ≥ 5 and b' = x + 1 > b (= x.5) Thus, the tenths digit of a = 4. Sufficient. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Chennai | Hyderabad | GRE Prep New Delhi | Tarnaka GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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