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Is b +ve

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Master | Next Rank: 500 Posts
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by aatech » Sun Jun 15, 2008 4:35 am
In the xy-plane, the line k passes through the origin and through the point (a,b), where ab neq 0. Is b positive?

1) The slope of the line k is negative
2) a < b
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Source: — Data Sufficiency |
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by durgesh79 » Sun Jun 15, 2008 4:51 am
it always helps to make a xy plane on a paper for these questions.

statement 1 : a negative slope line, passing throgh origin will go through Q2 and Q4. b will be +ve in Q2 and -ve in Q4. Not Suff.

statement 2 : a < b is set all the points to the left of the line y = x. This area will have half of Q1, whole Q2 and half of Q3. b will be +ve in Q1, Q2 and -ve in Q3. Not Suff

Combine 1 and 2 : we have only Q2. b will be +ve. Suff.

Answer is C
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by aatech » Sun Jun 15, 2008 5:02 am
Thanks OA is C
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