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11 Jun 2015, 23:07
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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:
25%
(medium)
Question Stats:
74% (01:22) correct
26%
(01:26)
wrong
based on 130
sessions
History
Date
Time
Result
Not Attempted Yet
11 Jun 2015, 23:27
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zahraf
Does (x + y)² + (x – y)² = 170?
(1) x² + y² = 85
Either x=7,y=6 or x=6,y=7 are the only values that satisfy the above equation.
case i) x=7,y=6
value of (x + y)² + (x – y)² will be 170
case ii) x=6,y=7
value of (x + y)² + (x – y)² will be 170
Sufficient
(2) x = y + 1
for this you can't get the exact values of x and y.
Say
X=7,Y=6
then (x + y)² + (x – y)² will be 170
X=5,Y=4
then (x + y)² + (x – y)² will be 82
so clearly statement 2 is Insufficient
Ans : A
Regards,
Manoj Reddy
Please press +1 kudos if you appreciate this post !!
Does (x + y)² + (x – y)² = 170?
(1) x² + y² = 85
Either x=7,y=6 or x=6,y=7 are the only values that satisfy the above equation.
case i) x=7,y=6
value of (x + y)² + (x – y)² will be 170
case ii) x=6,y=7
value of (x + y)² + (x – y)² will be 170
Sufficient
(2) x = y + 1
for this you can't get the exact values of x and y.
Say
X=7,Y=6
then (x + y)² + (x – y)² will be 170
X=5,Y=4
then (x + y)² + (x – y)² will be 82
so clearly statement 2 is Insufficient
Ans : A
Regards,
Manoj Reddy
Please press +1 kudos if you appreciate this post !!
12 Jun 2015, 01:57
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zahraf
Does (x + y)^2 + (x – y)^2 = 170?
Does x^2 + 2xy + y^2 + x^2 - 2xy + y^2 = 170?
Does 2x^2 + 2y^2 = 170?
Does x^2 + y^2 = 85?
(1) x^2 + y^2 = 85. Directly answers the question. Sufficient.
(2) x = y + 1. If x = 1 and y = 0, then the answer is NO but if x = 7 and y = 6, then the answer is YES. Not sufficient.
Answer: A.
Hope it's clear.
