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

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Is x > 0 ? (1) x + y = 30 (2) y^2 >10 [#permalink] New post   12 Mar 2020, 00:51
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E

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72% (01:04) correct 28% (01:16) wrong based on 46 sessions
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Is x > 0 ?


(1) x + y = 30

(2) y^2 >10
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E
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Re: Is x > 0 ? (1) x + y = 30 (2) y^2 >10 [#permalink] New post   12 Mar 2020, 01:59
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(1) x = 30 - y
Since we don't know the value of y, we cannot determine whether x>0.
NOT SUFFICIENT


(2) y<-3.166 or y>3.166
Since we don't know the value of x, we cannot determine whether x>0.

(1)+(2)
x > 33.166 or x < 27.844. Since x could be positive, zero, or negative, we cannot determine whether x>0
NOT SUFFICIENT

FINAL ANSWER IS (E)

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Re: Is x > 0 ? (1) x + y = 30 (2) y^2 >10 [#permalink] New post   12 Mar 2020, 02:17
1
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Is x > 0 ?


(1) x + y = 30
We do not know the value of either X or Y, hence Insufficient because both X > 0 and X < 0 are possible.
A D / B C E

(2) \(y^2 >10\)
This is insufficient as we do not know what is X.

A D / B C E

Combining both statements:

Case 1: Let's say \(y^2 = 16\), then we can say Y = +4/-4, in this case X > 0 (by putting in statement 1)
Case 2: Let's say \(y^2 = 1600\), then we can say Y = +40/-40, in this case X > 0 (if Y= -40), and X< 0 (if Y= +40)
No definite answer, Insufficient.

'E' is the answer
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Re: Is x > 0 ? (1) x + y = 30 (2) y^2 >10 [#permalink] New post   12 Mar 2020, 05:46
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Quote:
Is x > 0 ?


(1) x + y = 30

(2) y^2 >10


(1) insufic
(2) insufic

(1/2) insufic
y^2>10, |y|>3…, ~y>4 or ~y<-4
y=30: x+y=30, x=30-30=0
y=10: x+y=30, x=30-10=20

Ans (E)
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Re: Is x > 0 ? (1) x + y = 30 (2) y^2 >10 [#permalink] New post   12 Mar 2020, 10:18
1
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Is x > 0 ?

(1) x + y = 30
x and y can take any value
x = -15, y = 45
OR
x = 15, y = 15

INSUFFICIENT.

(2) \(y^2 >10\)
Nothing about x is given.

INSUFFICIENT.

Together 1 and 2.
y = 30 - x
\((30 - x)^2 > 10\)
If x = -10 then \(40^2 > 10\) NO
If x = 70 then \((30 - 70)^2 > 10\) YES
Here it is clear that x takes two different values.

INSUFFICIENT.

Answer E.
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Re: Is x > 0 ? (1) x + y = 30 (2) y^2 >10 [#permalink] New post   12 Mar 2020, 13:14
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Is \(x > 0\)?

(Statement1) : x + y = 30
No info about what y is.
Insufficient

(Statement2): \(y^2 >10\)
Clearly insufficient

Taken together 1&2,
\(x = 30 —y\)
\(y^{2} >10\)

if y = 31, then x = 30–31 = —1(NO)
If y = 5, then x= 30 —5 = 25 (Yes)
Insuffcient

Answer(E)

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Re: Is x > 0 ? (1) x + y = 30 (2) y^2 >10 [#permalink] New post   12 Mar 2020, 06:42
determine whether x>0 or say x is +ve

#1

x + y = 30
two cases possible ; x=-30 and y=60 ; no
and x=4 and y = 26 ;yes
insufficient
#2
y^2 >10
means y can be atleast +/-4 i.e -3>y and y >3 ; but x is not know insufficient
from 1 &2
we can have possibilities that y=4 and x= 26 ; and x=-4 and y= 34
insufficient
IMO E


Is x > 0 ?


(1) x + y = 30

(2) y^2 >10
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Re: Is x > 0 ? (1) x + y = 30 (2) y^2 >10 [#permalink]
12 Mar 2020, 06:42
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