For the integers m,n,r, and s, if m + n = 250 and m > n, is (m - r) > (s - n)? 1) 250 > r + s 2) m + r + s = 375 Target question: Is (m - r) > (s - n)? This is a great candidate for rephrasing the target question. We have a free video on this: https://www.gmatprepnow.com/module/gmat- ... cy?id=1100 If we take the inequality in the target question and add r and n to both sides, we get . . . REPHRASED target question: Is (m + n) > (s + r)? Since m + n = 250, we can also rephrase it this way . . . REPHRASED target question: Is 250 > (s + r)? Given Information: m + n = 250 and m > n If m and n were EQUAL, then m and n would both equal 125 Since m is GREATER THAN n, we can conclude that m > 125 Statement 1: 250 > r + s Perfect! One of our REPHRASED target questions is Is 250 > (s + r)? Since statement 1 allows us to answer the REPHRASED target question with certainty, it is SUFFICIENT Statement 2: m + r + s = 375 Earlier (in the Given Information part of the solution), we determined that m > 125 So, we can reword statement 2 as: (a number bigger than 125) + (r + s) = 375 This means that (r + s) must be LESS THAN 250 In other words, 250 > (s + r) One of our REPHRASED target questions is Is 250 > (s + r)? Since statement 2 allows us to answer the REPHRASED target question with certainty, it is SUFFICIENT Answer = D Cheers, Brent

For the integers m, n, r, and s, if m + n = 250 and m > n, is (m – r) > (s – n)? (1) 250 > r + s (2) m + r + s = 375 Simplify: Is (m – r) > (s – n)? IS (m + n) > (s + r)? OR IS 250 > (r + s) ? Solve: St1: Directly gives the relationship, 250 > (r + s), SUFFICIENT St2: Its given that m > n and their sum is 250. So m has to be atleast 126. Thus m > 125 m + r + s = 375 r + s = 375 - 126 = 249 Thus 250 > (r + s) SUFFICIENT [spoiler]Answer : D[/spoiler] Regards, Vivek