Is x a positive number?

E?
(1)-->x>-4
(2)-->-5>x>5

is it so simple?or any trap?

Statement 1 says x+6>2, thus x>-4, not sufficient

Statement 2 says -5>x>5

Combining them does nothing.
Choose E.

1. x > -4
2. x^2 > 25
(+ or - ) x > 5
-x > 5 or x > 5
x < -5 or x > 5

1. Not sufficient
2. Not sufficient
1 & 2
x > -4 and (x<-5) => not possible
x > 4 and x > 5 => x>5
That is, x = +ve

IMO C.

E for me as well

St 1: x>-4..insuff
St2: -5<x<5..insuff

Combining we get: -4<x<5..insuff

So E.

mals24 wrote:E for me as well

St 1: x>-4..insuff
St2: -5<x<5..insuff

Combining we get: -4<x<5..insuff

So E.

First of all, Karmayogi analyzed the Statement 2 correctly

2. x^2 > 25
(+ or - ) x > 5
-x > 5 or x > 5
x < -5 or x > 5

Now lets combine these two lines


..........-4.........0.................................

.....-5...............0....................5............


X>5

I would say C

Stmt I

x > -4
could be positive or negative

INSUFF

Stmt II

x^2 > 25

|x| > 5

could be positive or negative

INSUFF

Together:

x > - 4

|x| > 5

x has to be greater than +5

I would go with C too.

Regards,
CR

I too selected C as my answer, but the OA is given as E.

if x^2 > 25
then x> +5 or -5 i.e. x>-5 or x>5. Is this not correct? How is it that combining both the statements is not sufficient to answer the question?

too selected C as my answer, but the OA is given as E.

if x^2 > 25
then x> +5 or -5 i.e. x>-5 or x>5. Is this not correct? How is it that combining both the statements is not sufficient to answer the question?

x^2 > 25

|x| > 5

x>5 or x<-5

Since x>-4 is given x>5


The 2 statements will never contracdict each other i.e they will have something in common

x>-4 and x>5 is the common thing between stmt I and II and they dont contardict i.e something can be greater than -4 and 5 at the same time.

Probably we can request Ian/Stuart to clarify the C or E part for us.

Regards,
Cramya

Can u double check the question?

If stmt II was x^2<25

|x| < 5

x<5 x>-5

-5<x<5 would hold along with x>-4 which will make it insufficient leading to E.

cramya wrote:Can u double check the question?

If stmt II was x^2<25

|x| < 5

x<5 x>-5

-5<x<5 would hold along with x>-4 which will make it insufficient leading to E.

Good shot cramya Unfortunately, I did not make any mistake in posting the question as is. The source is princeton guide. Its an exercise question with no explanation to the answers. If there are no answers that support E, I will assume that it was a mistake in the book.

cramya wrote:Can u double check the question?

If stmt II was x^2<25

|x| < 5

x<5 x>-5

-5<x<5 would hold along with x>-4 which will make it insufficient leading to E.

If the answer is E, the book has a typo as described by Cramya.