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26 Jun 2022, 04:30
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C
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:
76% (01:19) correct
24%
(01:33)
wrong
based on 37
sessions
History
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What is the value of the product of x and y?
(1) x + y = 0
(2) The average of x^2 and y^2 is equal to the smallest positive integer multiple of two.
(1) x + y = 0
(2) The average of x^2 and y^2 is equal to the smallest positive integer multiple of two.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
29 Jun 2022, 04:57
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To find: Product of x and y, i.e. xy
Statement 1: x+y = 0
This statement is insufficient to answer the question, however note that from this statement we can say that,
x = -y OR y = -x
We know that one of the variables is negative.
Statement 2: \(\frac{(x^2+y^2)}{2}\) = 2 (smallest positive integer multiple of two is 2)
\((x^2+y^2)\) = 4
This statement is insufficient to answer the question, however note that from this statement we can say that,
x and y can be 2/-2
Combining both, statement 1 and 2, from statement 1 we know that either x or y is negative and from statement 2 we know that x and y is 2 or -2, therefore with this logic we can conclude with one out of x or y is -2 and the other one is 2.
Since we need to find the product, i.e. xy, it doesn't matter which variable is -2 and which one is 2, the product remains the same, i.e -4
Hence the correct answer would be (C)
Statement 1: x+y = 0
This statement is insufficient to answer the question, however note that from this statement we can say that,
x = -y OR y = -x
We know that one of the variables is negative.
Statement 2: \(\frac{(x^2+y^2)}{2}\) = 2 (smallest positive integer multiple of two is 2)
\((x^2+y^2)\) = 4
This statement is insufficient to answer the question, however note that from this statement we can say that,
x and y can be 2/-2
Combining both, statement 1 and 2, from statement 1 we know that either x or y is negative and from statement 2 we know that x and y is 2 or -2, therefore with this logic we can conclude with one out of x or y is -2 and the other one is 2.
Since we need to find the product, i.e. xy, it doesn't matter which variable is -2 and which one is 2, the product remains the same, i.e -4
Hence the correct answer would be (C)
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