sana.noor wrote:3) Is it true that a > b ?
(1) a^2 > b^2
(2) a > b - 2
Target question:
Is a > b ?
Statement 1: a^2 > b^2
There are several pairs of values that meet this condition. Here are two:
Case a: a = 1 and b = 0, in which case
a is greater than b
Case b: a = -1 and b = 0, in which case
a is not greater than b
Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: a > b - 2
There are several pairs of values that meet this condition. Here are two:
Case a: a = 1 and b = 0, in which case
a is greater than b
Case b: a = -1 and b = 0, in which case
a is not greater than b
Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined:
There are still several pairs of values that meet this condition. Here are two:
Case a: a = 1 and b = 0, in which case
a is greater than b
Case b: a = -1 and b = 0, in which case
a is not greater than b
Since we still cannot answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer =
E
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
