Singh,

I am sure that this has been explained before on this forum atleast a few times but here it goes. Please use the search option if possible. This way u dont have to wait on a response since they have been answered already(saves u time).

sqrt( -x |x|)

Definition of modulus

|x| = x if x>=0

|x| = -x if x<0


In the given problem x is negative

Applying the defnition here |x| = -x

sqrt(-x * -x) = sqrt(x^2) = +ve x

So this +ve x is - (original x which is negative)


So -x is the answer.

Regards,
CR

Thanks Cramya !!! Looking at the question, it never occurred to me that GMAT can trick you on such so called obvious questions

cramya

could you please explain definition of modulus and generally the whole process

sqrt( -x |x|)

Definition of modulus

|x| = x if x>=0

|x| = -x if x<0


In the given problem x is negative

Applying the defnition here |x| = -x

sqrt(-x * -x) = sqrt(x^2) = +ve x

So this +ve x is - (original x which is negative)