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06 Apr 2020, 22:36
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
64% (01:07) correct
36%
(01:02)
wrong
based on 55
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If x and y are integers. What is the value of x + y?
1) \(x^2+y^2\)= 10
2) xy = 3
1) \(x^2+y^2\)= 10
2) xy = 3
GMATBusters Collection
06 Apr 2020, 22:43
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If x and y are integers. What is the value of x + y?
1) x^2+y^2= 10
x=1,y=3, x+y=4
x=-1,y=-3, x+y=-4 insufficient
2) xy = 3
x=1,y=3, x+y=4
x=-1,y=-3, x+y=-4 insufficient
combining 1 and 2
x=1,y=3, x+y=4
x=-1,y=-3, x+y=-4 insufficient
ANSWER E
1) x^2+y^2= 10
x=1,y=3, x+y=4
x=-1,y=-3, x+y=-4 insufficient
2) xy = 3
x=1,y=3, x+y=4
x=-1,y=-3, x+y=-4 insufficient
combining 1 and 2
x=1,y=3, x+y=4
x=-1,y=-3, x+y=-4 insufficient
ANSWER E
06 Apr 2020, 22:49
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GMATBusters
Given: x and y are integers
Find: The value of x + y
Statement 1
: \(x^2 + y^2 = 10\)- • In this case, multiple scenarios are possible:
- • \(1^2 + 3^2 = 10\) OR
• \((-1)^2 + (-3)^2 = 10\)
- o In both these cases, the value of x + y will be different.
Statement 2
: \(x*y = 3\)- • In this case also, we can have two values of x + y:
- o \(1 * 3 = 3\)
- \(x + y = 1 + 3 = 4\)
- o \((-1) * (-3) = 3\)
- \(x + y = (-1) + (-3) = -4\)
Combining both statements:
Statement 1: \(x + y = 4\) or \(– 4\)
Statement 2: \(x + y = 4\) or\( -4\)
So, even after combining both statements, we wont be able to find a unique value of x + y and the correct answer is Option E.
