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22 Jan 2022, 10:41
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
46% (01:15) correct
54%
(01:10)
wrong
based on 191
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Does x = y ?
(1) xy/(x + y) = 0
(2) xy = 0
(1) xy/(x + y) = 0
(2) xy = 0
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22 Jan 2022, 23:45
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Bunuel
(1) \(\frac{xy}{(x + y)} = 0\)
This means xy=0.
But x=y, would mean x=y=0, and \(\frac{xy}{(x + y)} = \frac{0}{0}=undefined\).
As we are given, \(\frac{xy}{(x + y)} = 0\) and not undefined, only way is when any one of x or y is not 0.
So, one of x and y is surely 0 and other non zero.
Hence \(x\neq {y}\)
(2) \(xy = 0\)
If only one of the two is zero, NO.
If both are 0, YES.
Insufficient
A
General Discussion
23 Jan 2022, 01:00
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Does x = y ?
Stat1: xy/(x + y) = 0
So, (x+y) not equal to Zero; x not equal to -y. Now, x =0 or y =0, but, x =y =0 is not possible (as x not equal to -y).
Sufficient.
Stat2: xy = 0; x = 0 or y= 0, we don't now, if x =y =0 or x =0, y= 1000. Not sufficient
So, I think A.
Stat1: xy/(x + y) = 0
So, (x+y) not equal to Zero; x not equal to -y. Now, x =0 or y =0, but, x =y =0 is not possible (as x not equal to -y).
Sufficient.
Stat2: xy = 0; x = 0 or y= 0, we don't now, if x =y =0 or x =0, y= 1000. Not sufficient
So, I think A.
