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# What is the value of y? 1. 3|x^2-4|= y-2 2. |3-y|=11 How

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Director
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What is the value of y? 1. 3|x^2-4|= y-2 2. |3-y|=11 How [#permalink]  02 Nov 2011, 12:11
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Question Stats:

33% (00:00) correct 67% (02:06) wrong based on 3 sessions
What is the value of y?

1. 3|x^2-4|= y-2
2. |3-y|=11

How come C? Any ideas guys please? I understand A & B are insufficient on their own.
[Reveal] Spoiler: OA

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Kudos [?]: 1 [1] , given: 1

Re: DS - Algebra [#permalink]  02 Nov 2011, 13:37
1
KUDOS
from 2nd we got 2 roots: -8 or 14, check this roots with 1st statement we see that 3|x^2-4| can't be negative, so -8 is out. 14 is left and it's the only choice left.
Director
Status: Preparing for the 4th time -:(
Joined: 25 Jun 2011
Posts: 563
Location: United Kingdom
GMAT Date: 06-22-2012
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 12

Kudos [?]: 256 [0], given: 217

Re: DS - Algebra [#permalink]  02 Nov 2011, 14:03
Thanks aaaqqq222. Much appreciated.

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Senior Manager
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Kudos [?]: 44 [0], given: 2

Re: DS - Algebra [#permalink]  03 Nov 2011, 08:35
can somebody explain the question in detail. I understand the stmnt(2).
I solved stmnt (i) like this

3(x.x-4)=y-2
3x.x -12 =y-2
y=3x.x -10

by assigining "-" to absolute value

-3x.x +14=y
when equal 2 equations
14=-10.
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Kudos [?]: 6 [0], given: 11

Re: DS - Algebra [#permalink]  03 Nov 2011, 11:20
Here is my take, can the experts confirm please if my approach is correct ?

1. 3|x^2-4|= y-2 gives us 2 values if we open the modulus, for the 2 values y = 3x^2 -10 and y = 14 – 3x^2. NOT SUFFICIENT.

2. |3-y|=11, gives y = -8, 14 if we open the modulus. NOT SUFFICIENT.

Combining 1 and 2. if we put the values y = -8, 14 in 3|x^2-4|= y-2,
If y = -8, 3|x^2-4|= -10, not possible as
If y = 14, 3|x^2-4|= 12, Only possible value.

Hence Ans is C.
Re: DS - Algebra   [#permalink] 03 Nov 2011, 11:20
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# What is the value of y? 1. 3|x^2-4|= y-2 2. |3-y|=11 How

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