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What is the value of positive integer x ?

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What is the value of positive integer x ?  [#permalink]

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New post 15 Sep 2014, 00:20
2
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

66% (02:02) correct 34% (01:47) wrong based on 178 sessions

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What is the value of positive integer x ?

(1) \(x^4 < 1000\)

(2) \(2^x < x^2\)

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Re: What is the value of positive integer x ?  [#permalink]

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New post 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.
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Re: What is the value of positive integer x ?  [#permalink]

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New post 15 Sep 2014, 00:45
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 ?
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Re: What is the value of positive integer x ?  [#permalink]

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New post 15 Sep 2014, 00:49
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Re: What is the value of positive integer x ?  [#permalink]

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New post 15 Sep 2014, 01:00
Yea I got it :) thank you bunuel :)
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Re: What is the value of positive integer x ?  [#permalink]

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New post 16 Mar 2018, 19:02
Hello from the GMAT Club BumpBot!

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Re: What is the value of positive integer x ?   [#permalink] 16 Mar 2018, 19:02
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