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Square Root of Zee

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by mevicks » Tue Oct 22, 2013 4:52 am
If √z is a positive integer, what is the value of z?

(1) 1 < √z < 5
(2) 10 < z < 24

[spoiler]OA: B[/spoiler]
Last edited by mevicks on Tue Oct 22, 2013 7:52 am, edited 1 time in total.
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Source: — Data Sufficiency |
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by theCodeToGMAT » Tue Oct 22, 2013 5:45 am
To find: Value of "Z"

Statement 1:
1 < √z < 5
√z can be 2,3,4 correspondingly "z" will vary
INSUFFICIENT


Statement 2:
The number between 10 & 24 which is a prefect square : 16
So, z=16
SUFFICIENT

Is it [spoiler]{B}[/spoiler]??
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by GMATGuruNY » Tue Oct 22, 2013 7:20 am
mevicks wrote:If √z is a positive integer, what is the value of z?

(1) 1 < √z < 5
(2) 10 < z < 24
Since √z = Integer, z = (integer)².
in other words, z is a perfect square; 1, 4, 9, 16, 25...

Statement 1: 1 < √z < 5
Since z is positive, we can square the entire inequality:
1 < z < 25.
It's possible that z=4, z=9, or z=16.
INSUFFICIENT.

Statement 2: 10 < z < 24
Thus, z=16.
SUFFICIENT.

The correct answer is B.
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