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thesfactor
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Gmatprep Question, Powers...tricky! 07 May 2011, 14:33
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Help please? I can narrow this down to D or E but I'm not sure if there's an easier way to solve this...



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Gmatprep Question, Powers...tricky! Updated on: 07 May 2011, 14:57
Originally posted by amit2k9 on 07 May 2011, 14:43.
Last edited by amit2k9 on 07 May 2011, 14:57, edited 1 time in total.
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4^1/2 = 2 (edited) Wasn't careful !!

4^1/3 = 1< 4^1/3 < 2

4^1/4 = 1 < 4^1/4 <2

hence 2 + ( <= 1.5) + (< = 1.2) >= 4 .

E
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Gmatprep Question, Powers...tricky! 07 May 2011, 14:46
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4^1/2 = 1.414
Isn't root of 4 just 2? Sorry but I'm confused by your explanation.
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Gmatprep Question, Powers...tricky! 07 May 2011, 14:50
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thesfactor
Help please? I can narrow this down to D or E but I'm not sure if there's an easier way to solve this...
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Any root of any number, greater than 1, will always be greater than 1.

100 root of 4 will be greater than 1.
1000 root of 4 will be greater than 1.

Likewise,
4 root of 4 will be greater than 1.
3 root of 4 will be greater than 1.
2 root of 4 is 2.

Add them;
2+GT(1)+GT(1)= GT(4)
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Gmatprep Question, Powers...tricky! 07 May 2011, 14:50
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Ok i get it now, didn't get it during the exam.
Any 4^1/2 = 2
4^1/4 = 1.414
therefore 4^1/3 has to be greater than 1.414, maybe 1.5 which will make the answer > 4
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Gmatprep Question, Powers...tricky! 08 May 2011, 10:10
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Even I got this Q on my GMATprep.. I had almost chosen a wrong answer before it suddenly flashed to me that square root of any positive number greater than 1 is always greater than 1, be it 1.0001 or 10000.
So, in this question, 2+GT1+GT1= GT 4

I may also point out that I got this question after 10 straight right answers. So IMO either this question is 51 level or this is a test question. If its the former then well, a reason to feel good isn't it :D



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