Question
x(y+z) >0
Inference : This statement holds true in the below conditions.
1) x > 0 & y > -z
2) x < 0 & y < -z
So to answer this question we need to know the positive negative nature of x and the relative position of y and -z with respect to eachother.
Statement1
xyz > 0
We know the product of xyz is greater than 0, however we do not have any information on either the sign of x or the relative position of y and -z.
Hence, we can eliminate the statement A andD.
Statement2
yz > 0
We know the product of yz is greater than 0, can't say if y > -z or vice versa. Also, there is no information on the sign of x. Hence we can eliminateB.
Combined
The statements combined tell us that x > 0, however the relative position of y and -z is still not known.
OptionE
...
x(y+z) >0
Inference : This statement holds true in the below conditions.
1) x > 0 & y > -z
2) x < 0 & y < -z
So to answer this question we need to know the positive negative nature of x and the relative position of y and -z with respect to eachother.
Statement1
xyz > 0
We know the product of xyz is greater than 0, however we do not have any information on either the sign of x or the relative position of y and -z.
Hence, we can eliminate the statement A andD.
Statement2
yz > 0
We know the product of yz is greater than 0, can't say if y > -z or vice versa. Also, there is no information on the sign of x. Hence we can eliminateB.
Combined
The statements combined tell us that x > 0, however the relative position of y and -z is still not known.
OptionE
...
Statistics : Posted by gmatophobia • on 18 Nov 2022, 03:55 • Replies 1 • Views 47
