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positive numbers

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Source: — Data Sufficiency |
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by badpoem » Wed Sep 28, 2011 7:50 am
How many of the numbers x, y, and z are positive? x, y, and z are all less than 30.
(1) x + y + z = 61
(2) x + y = 35

Statement 1.

If any of x, y or z is equal to zero, the other two have to be a min of 30.5 which goes against the fact that x, y, and z are all less than 30.
The condition holds true when x, y or z is negative. So all must be positive.

1 is sufficient.

Statement 2.

No data about z.

So, IMO (A).
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by gmatclubmember » Wed Sep 28, 2011 8:06 am
A. looks sufficient.
a lil' Thank note goes a long way :)!!
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by mankey » Wed Sep 28, 2011 8:51 am
Answer should be E.

What is the OA?

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by Anurag@Gurome » Wed Sep 28, 2011 6:03 pm
mehrasa wrote:How many of the numbers x, y, and z are positive? x, y, and z are all less than 30.
(1) x + y + z = 61
(2) x + y = 35
(1)If we take any two of the numbers to be positive and one of them as negative, say, x = 29.99, y = 29.99, and z = -0.1, then x + y + z = 59.88, which clearly implies that the 3 numbers should be positive, only then we can have x + y + z = 61; SUFFICIENT.

(2) x + y = 35 does not clearly imply anything as we don't know about the value of z; NOT sufficient.

The correct answer is A.
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