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Is y = 0 or y > 0 ?

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Is y = 0 or y > 0 ? [#permalink] New post   21 Apr 2018, 17:01
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72% (01:14) correct 28% (01:18) wrong based on 46 sessions
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Is y = 0 or y > 0 ?

(1) x + y ≥ 5
(2) x – y ≤ 5
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C
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Re: Is y = 0 or y > 0 ? [#permalink] New post   21 Apr 2018, 17:06
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I and II alone are not sufficient.

Multiply second equation by negative sign so that both equations have same inequality sign.

Then add both equations.

It comes out y=zero

C

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Re: Is y = 0 or y > 0 ? [#permalink] New post   21 Apr 2018, 21:22
What about x=5 , y=1 satisfies both equations

Should be E


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Re: Is y = 0 or y > 0 ? [#permalink] New post   21 Apr 2018, 21:42
jubinder wrote:
What about x=5 , y=1 satisfies both equations

Should be E


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Yes, it will satisfy and as per your example you are getting \(y>0\) and this is what the question is asking

Statement 1: \(x + y ≥ 5\), two variable, one inequality, hence values cannot be calculated. Insufficient

Statement 2: \(x – y ≤ 5\), again two variables, one inequality, hence values cannot be calculated. Insufficient

Combining 1 & 2: Multiply equation (2) by \(-1\) to get \(-x + y ≥ -5\). Now Add the two equations to get

\(2y≥0=>y≥0\). Hence Sufficient.

Option C
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Re: Is y = 0 or y > 0 ? [#permalink] New post   21 Apr 2018, 21:45
Isnt question asking -
Whether y=0 OR y>0?

Since y can be both y =0 or y>0 we cannot tell
So marked E pls clarify


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Re: Is y = 0 or y > 0 ? [#permalink] New post   21 Apr 2018, 21:54
jubinder wrote:
Isnt question asking -
Whether y=0 OR y>0?

Since y can be both y =0 or y>0 we cannot tell
So marked E pls clarify


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Hi jubinder

Is \(y=0\) or \(y>0\). Note this is "Is" type question that is you need a Definite "yes" or "no". If you are getting "may be yes" or "may be no". Then the statements are Insufficient

In this case if y=0, we have a "Yes" and/or if y>0, then also we have a "Yes". Hence on combining both the statements you get y=0 or y>0 where in either case you will get a Definite "Yes"
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Re: Is y = 0 or y > 0 ? [#permalink] New post   12 May 2019, 07:54
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Re: Is y = 0 or y > 0 ? [#permalink]
12 May 2019, 07:54
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