BTGmoderatorDC wrote: ↑Tue Sep 07, 2021 12:45 am
Is a > b? a and b are non-negative integers.
1) a + 50 = 51
2) b > 0
OA
C
Source: Manhattan Prep
Given: a and b are non-negative integers.
Target question: Is a > b?
Statement 1: a + 50 = 51
Since we have no information about the value of b, there's no way to answer the target question with certainty.
Statement 1 is NOT SUFFICIENT
Statement 2: b > 0
Since we have no information about the value of a, there's no way to answer the target question with certainty.
Statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 1 tells us that a + 50 = 51, which means
a = 1
Statement 2 tells us that b > 0
Since b is an integer, b can equal 1 or 2 or 3 or 4 or 5 or.........
For all possible values of b, it is never the case that a > b.
So, the answer to the target question is
NO, a is never greater than b
Since we can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent
