buguy7
If \(xy\neq{0}\), is 1/x + 1/y = 4 ?
(1) 4 - 1/y = 2.5
(2) 5x = 2
Responding to a pm:
Quote:
we can find the other variable of x from y in statement 1 and same y from x in 2 statement.... so my answer was D... What is right approach though it is easy..?
The confusion you are facing is regarding what is given and what is asked.
The question stem tells you that xy is not 0 i.e. neither x nor y is 0.
It is not given that 1/x + 1/y is equal to 4. That is the question: Is 1/x + 1/y equal to 4?
Statement 1 tells you that 4 - 1/y = 2.5
i.e. it tells you that 2.5 + 1/y = 4
So you have only 2 pieces of info:
x and y are not 0
2.5 + 1/y = 4
The question is: Is 1/x + 1/y equal to 4?
Can you answer it with a yes or no? No, you cannot answer it. All you know is that 2.5 + 1/y is equal to 4. You don't know whether 1/x + 1/y is equal to 4. Only if you also knew whether 1/x = 2.5, then you can say yes/no.
Hence you need statement II as well to answer the question and the answer is (C).