Algebra

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Source: — Data Sufficiency |

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by mevicks » Sat Nov 02, 2013 5:49 am
pareekbharat86 wrote:If xy = -6,what is the value of xy*(x + y)?
(1) x - y = 5
(2) x*y*y = 18
Given: xy = -6

Q: xy*(x + y) = ?

St1:
x - y = 5
x = 5 + y
substituting : xy = -6 --> (y + 5)*y = -6
y² + 5y + 6 = 0
y = -3 or y = -2
The value of x would change accordingly, Indefinite answer; INSUFFICIENT

St2:
x*y*y = 18
xy = -6
Substituting xy in the above equation we can find out the value of y and thus the value of x.

The target question can be answered by finding out the values of x & y, SUFFICIENT

Answer B