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23 Aug 2016, 02:45
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:12) correct
22%
(01:26)
wrong
based on 82
sessions
History
Date
Time
Result
Not Attempted Yet
Is 3^x greater than 100?
(1) 9x = 36
(2) 1/3^x > 0.01
(1) 9x = 36
(2) 1/3^x > 0.01
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
23 Aug 2016, 04:54
Kudos
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(1) 9x = 36 => x = 4
3^4 = 81 is NOT greater than 100 => Sufficient
(2) (1/3^x) > 0.01
(1/3^x) > (1/100) => 3^x < 100 => Sufficient
--> Option D
3^4 = 81 is NOT greater than 100 => Sufficient
(2) (1/3^x) > 0.01
(1/3^x) > (1/100) => 3^x < 100 => Sufficient
--> Option D
24 Sep 2018, 13:43
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Bunuel
Target question: Is 3^x greater than 100?
Statement 1: 9x = 36
This tells us that x = 4
Once we know the value of x, we can definitely determine whether 3^x is greater than 100
Are we going to waste any time evaluating 3^4? No!
Since we COULD answer the target question with certainty, statement 1 is SUFFICIENT
ASIDE: Spoiler alert: If x = 4, then 3^x = 3^4 = 81. So, the answer to the target question is NO, 3^x is NOT greater than 100
Statement 2: 1/(3^x) > 0.01
Since 3^x is POSITIVE for all values of x, we can safely multiply both sides of the inequality by 3^x
When we do so, we get: 1 > (0.01)(3^x)
Now multiply both sides by 100 to get: 100 > 3^x
o, the answer to the target question is NO, 3^x is NOT greater than 100
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
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