Is x > 0 ? (1) x + y = 30 (2) y^2 >10 : Data Sufficiency (DS)

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Is x > 0 ? (1) x + y = 30 (2) y^2 >10

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Director

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Is x > 0 ? (1) x + y = 30 (2) y^2 >10 [#permalink]

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Updated on: 13 May 2018, 19:40

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Difficulty:

25% (medium)

Question Stats:

85% (01:13) correct

15% (01:33) wrong

based on 27 sessions

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Is x > 0 ?

(1) x + y = 30

(2) y^2 >10

Spoiler: OA

Originally posted by selim on 13 May 2018, 14:50.
Last edited by Bunuel on 13 May 2018, 19:40, edited 1 time in total.

Renamed the topic and edited the question.

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Re: Is x > 0 ? (1) x + y = 30 (2) y^2 >10 [#permalink]

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13 May 2018, 15:24

selim wrote:

Is x>0

1. x+y=30
2.\(y^2\) >10

1. x+y=30....... no specific info for xor y .... Thus NS.
when y=31, x=-1
when y=30, x=0
when y=29, x=1

2.\(y^2\) >10....... no specific info for x.... Thus NS.

1+2 ====>
when \(y^2\)=900, y=+30,-30 & x=0,60..... no specific answer................. Thus NS

Hence would go for Option E.
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Re: Is x > 0 ? (1) x + y = 30 (2) y^2 >10 [#permalink]

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13 May 2018, 20:47

Statement 1: x + y = 30
if y is small x must be +ve such as x = 32, y = -2 but if y is large x must be -ve such as -5(x) + 35(y). Hence, Insufficient
Statement 2: y^2 >10
No mention of x. Hence, insufficient
Combining both:
Consider just 2 extreme values for y. Let's say 4 and 100. In first case x will be +ve but in second case, it'll be -ve. Hence, Insufficient.