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Bunuel
Is x a positive number?

(1) x + 6 > 2
(2) x^2 > 25

#1
x>-4
or say -x<4
insufficient as x = - or + values
#2
x^2 > 25
-5<x>5
again insufficient
from 1 & 2
we get x>-4 and -5<x>5
only possible overlap range is x>5
IMO C
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Archit3110
Bunuel
Is x a positive number?

(1) x + 6 > 2
(2) x^2 > 25

#1
x>-4
or say x<4

insufficient as x = - or + values
#2
x^2 > 25
-5<x>5
again insufficient
from 1 & 2
we get x<4 and -5<x>5
value of x will be + or -ve not sure
IMO E
chetan2u ; range given is x<4 or x>-4 / why have you considered range of x to be always +ve?
should nt the answer be 'e' in this case.

Hi,
x>-4 does not mean x<4, but -x<4...
So statement I says that x>-4. x could be anything GREATER than -4 so both negative and positive value possible.
Now, statement II says that x<-5 or x>5..
Combined..
when you take x<-5, the statement I does not have any values in this range, so discard x<-5, as statement I says it is NOT possible.
Now x>5 and x>-4 have a common range only when x>5.
So, final answer is x>5
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chetan2u
thanks...


chetan2u
Archit3110
Bunuel
Is x a positive number?

(1) x + 6 > 2
(2) x^2 > 25

#1
x>-4
or say x<4

insufficient as x = - or + values
#2
x^2 > 25
-5<x>5
again insufficient
from 1 & 2
we get x<4 and -5<x>5
value of x will be + or -ve not sure
IMO E
chetan2u ; range given is x<4 or x>-4 / why have you considered range of x to be always +ve?
should nt the answer be 'e' in this case.

Hi,
x>-4 does not mean x<4, but -x<4...
So statement I says that x>-4. x could be anything GREATER than -4 so both negative and positive value possible.
Now, statement II says that x<-5 or x>5..
Combined..
when you take x<-5, the statement I does not have any values in this range, so discard x<-5, as statement I says it is NOT possible.
Now x>5 and x>-4 have a common range only when x>5.
So, final answer is x>5
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From Statement 1 : X>-4 ....X can be +ve or -ve hence Statement 1 is not sufficient.

From statement 2 : (x-5)(x+5)>0 hence Either X<-5 or X>5 again we can not conclude whether x is positive or not , hence again statement 2 again is not sufficient.

However , if we combine statement 1 and 2 we can conclude that X >5 , hence together statement 1 and 2 are sufficient .

Answer is C
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Is x a positive number?

(1) x + 6 > 2
(2) x^2 > 25

Please check whether my approach is right
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