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09 Jun 2021, 06:00
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
59% (01:29) correct
41%
(01:24)
wrong
based on 78
sessions
History
Date
Time
Result
Not Attempted Yet
09 Jun 2021, 06:12
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Bunuel
Target question: Is a − b > 9 ?
Statement 1: (1) a − √400 > 0
Simplify to get: a − 20 > 0
Add 20 to both sides to get: a > 20
Since we have no information about the value of b, statement 1 is NOT SUFFICIENT
Statement 2: 0 < b − √121
Simplify to get: 0 < b − 11
Add 11 to both sides to get: 11 < b
Since we have no information about the value of a, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 1 tells us that a > 20
Statement 2 tells us that b > 11
There are several values of a and b that satisfy BOTH statements. Here are two:
Case a: a = 30 and b = 12. In this case, a - b = 30 - 12 = 18, which means the answer to the target question is YES, a - b is greater than 9
Case b: a = 30 and b = 30. In this case, a - b = 30 - 30 = 0, which means the answer to the target question is NO, a - b is not greater than 9
Since we can’t answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
09 Jun 2021, 06:51
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Bunuel
1) a > √400
a > 20. No info on b - Insufficient!
2) b > √121
b > 11. No info on a - Insufficient!
Combining 1 & 2:
Case1: a = 21, b = 12
a - b > 9? No!
Case2: a = 30, b = 15
a - b > 9? Yes!
IMO, (E)
