BTGModeratorVI wrote: ↑Tue May 12, 2020 2:14 pm
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
Answer:
D
Source: 800Score
Target question: Is (m - r) > (s - n)?
This is a great candidate for
rephrasing the target question. We have a video on this at the bottom of this post
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
