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15 Sep 2014, 00:20
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
67% (02:04) correct
33%
(01:56)
wrong
based on 278
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of positive integer x ?
(1) \(x^4 < 1000\)
(2) \(2^x < x^2\)
(1) \(x^4 < 1000\)
(2) \(2^x < x^2\)
15 Sep 2014, 00:36
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What is the value of positive integer x ?
Notice that we are told that x is a positive integer.
(1) \(x^4 < 1000\). x could be 1, 2, 3, 4, or 5. Not sufficient.
(2) \(2^x < x^2\). Test values:
If x = 1, then (2^x = 2) > (x^2 = 1);
If x = 2, then 2^x = 4 = x^2;
If x = 3, then (2^x = 8) < (x^2 = 9);
If x = 4, then 2^x = 16 = x^2;
If x > 4, then 2^x > x^2.
So, x can only be 3. Sufficient.
Answer: B.
Notice that we are told that x is a positive integer.
(1) \(x^4 < 1000\). x could be 1, 2, 3, 4, or 5. Not sufficient.
(2) \(2^x < x^2\). Test values:
If x = 1, then (2^x = 2) > (x^2 = 1);
If x = 2, then 2^x = 4 = x^2;
If x = 3, then (2^x = 8) < (x^2 = 9);
If x = 4, then 2^x = 16 = x^2;
If x > 4, then 2^x > x^2.
So, x can only be 3. Sufficient.
Answer: B.
General Discussion
15 Sep 2014, 00:45
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even with testing values i got tricked and mistakenly chose C !
is there another way to solve it or at least understand that 3 is a good fit ?
is there another way to solve it or at least understand that 3 is a good fit ?
thank you bunuel 
