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If yz = 6, what is the value of yz(y - z)?
(1) y*z^2 = -12
(2) y + z = -5
(1) y*z^2 = -12
(2) y + z = -5
03 Dec 2017, 02:50
Kudos
Bookmarks
Bunuel
If yz = 6, what is the value of yz(y - z)?
(1) y*z^2 = -12
(2) y + z = -5
(1) y*z^2 = -12
(2) y + z = -5
Given: yz = 6
Question: Value of yz(y - z)?
Statement 1: y*z^2 = -12
i.e. y*z*z = -12
i.e. (6)z = -12
i.e. z = -2 i.e. y = -3
SUFFICIENT
Statement 2: y + z = -5
Case 1: y=-2 and z=-3
Case 2: y=-3 and z=-2
NOT SUFFICIENT
answer: option A
19 Nov 2019, 06:28
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Bunuel
If yz = 6, what is the value of yz(y - z)?
(1) y*z^2 = -12
(2) y + z = -5
(1) y*z^2 = -12
(2) y + z = -5
(1) y*z^2 = -12 sufic
\(y=-12/z^2…y>…z>0…yz=6…12/z^2*z=6…12/z=6…z=2…y=3\)
(2) y + z = -5 insufic
\(y=-5-z…(-5-z)z=6…-5z-z^2=6…z^2+5z+6=0…(z+2)(z+3)=0\)
\((z,y)=(-2,-3)…6(-3-(-2)…6(-3+2)…6(-1)=-6\)
\((z,y)=(-3,-2)…6(-2-(-3)…6(-2+3)…6(1)=6\)
Ans (A)
