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If n is a positive integer, is n equal to 100 ? (1) n^(1/2)

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Senior Manager
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If n is a positive integer, is n equal to 100 ? (1) n^(1/2) [#permalink] New post 28 Aug 2003, 10:27
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A
B
C
D
E

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(N/A)

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0% (00:00) correct 0% (00:00) wrong based on 2 sessions
If n is a positive integer, is n equal to 100 ?

(1) n^(1/2) > 9
(2) n^(1/2) < 11
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 [#permalink] New post 28 Aug 2003, 10:45
Tricky. E.

I don't like to explain right away.
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 [#permalink] New post 28 Aug 2003, 13:29
agree with E... i leave the explanation to mciatto
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 [#permalink] New post 28 Aug 2003, 16:29
mciatto wrote:
Tricky. E.

I don't like to explain right away.




It is tricky doesn't it?

This question is taken from a real GMAT by the way...


The answer, as my two "reserved" fellow gmat takers pointed out above, is E.


The key to this question comes from answering the following question:

Is there a real number greater than 9, less than 11 and other than 10 that
squared would give a positive integer?


Yes, there are many numbers: 98^(1/2), 99^(1/2), 101^(1/2) ...
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 [#permalink] New post 29 Aug 2003, 06:23
There is only one INTEGER between 9 and 11. So n has to be 10 and the answer C. The other real numbers 98,99, etc. would not give integers. Since, the question asks for a positive integer, it has to be 10.

Ans. C
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 [#permalink] New post 29 Aug 2003, 06:27
Watchdog, you fell for the trap.

only n has to be an integer, not sqrt(n).
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  [#permalink] 29 Aug 2003, 06:27
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