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Difficulty:
35%
(medium)
Question Stats:
68% (01:14) correct
32%
(01:00)
wrong
based on 41
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of x^2 – y^2 ?
(1) x + y = 12
(2) xy = 35
_________________
(1) x + y = 12
(2) xy = 35
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
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(1)Only
If x=y=6, x^2 – y^2 = 0
If x<>y, x^2 – y^2 <> 0
Insufficient
(2)Only
Try
x=5, y=7
And
x=7, y=5
Insufficient.
(1)(2)Together
Unless x=y, x^2 – y^2 cannot be determined because two values can be switched and still satisfy condition (1)and(2) yet x^2-y^2 will be different (one positive and one negative).
Because x cannot be equal to y, (1)(2) together is still insufficient.
The answer is thus (E).
If x=y=6, x^2 – y^2 = 0
If x<>y, x^2 – y^2 <> 0
Insufficient
(2)Only
Try
x=5, y=7
And
x=7, y=5
Insufficient.
(1)(2)Together
Unless x=y, x^2 – y^2 cannot be determined because two values can be switched and still satisfy condition (1)and(2) yet x^2-y^2 will be different (one positive and one negative).
Because x cannot be equal to y, (1)(2) together is still insufficient.
The answer is thus (E).
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