Bunuel
Is s = r?
(1) s² = r²
(2) s is positive
Target question: Is s = r? Statement 1: s² = r² When we square a number, the result is always greater than or equal to zero. So, this statement doesn't
FEEL sufficient. As such, let's TEST some values.
There are several values of x and y that satisfy statement 1. Here are two:
Case a: s = 1 and r = 1, in which case
s = rCase b: s = 1 and r = -1, in which case
s ≠ rSince we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Aside: For more on this idea of plugging in values when a statement doesn't feel sufficient, you can read my article: https://www.gmatprepnow.com/articles/dat ... lug-values Statement 2: s is positive Without information about r, there's no way answer the
target question with certainty.
So, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined There are several values of x and y that satisfy BOTH statements. Here are two:
Case a: s = 1 and r = 1, in which case
s = rCase b: s = 1 and r = -1, in which case
s ≠ rSince we can answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer =
Cheers,
Brent