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Value of y?

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by monusangeeta » Thu Sep 30, 2010 7:41 am
Dear Experts,

Please help me with this question...

What is the value of y?

(1) 3|x^2 - 4| = y - 2

(2) |3 - y| = 11

My approach:

Statement 1: Insuff as there are 2 variables
Statement 2: Insuff

3-y = 11, 3 - y = -11
=> y = -8, 14

Both: Substituting values of y from statement no. 2 into statement no. 1 doesnt help to solve for y. Hence my answer is E, however the correct answer is C.

Please help,

Thanks in advance,
monusangeeta
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Source: — Data Sufficiency |
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by alivapriyada » Thu Sep 30, 2010 7:43 am
monusangeeta wrote:Dear Experts,

Please help me with this question...

What is the value of y?

(1) 3|x^2 - 4| = y - 2

(2) |3 - y| = 11

My approach:

Statement 1: Insuff as there are 2 variables
Statement 2: Insuff

3-y = 11, 3 - y = -11
=> y = -8, 14

Both: Substituting values of y from statement no. 2 into statement no. 1 doesnt help to solve for y. Hence my answer is E, however the correct answer is C.

Please help,

Thanks in advance,
monusangeeta
even IMO E.Lets see what experts have to say on this!!
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by sanabk » Thu Sep 30, 2010 10:05 am
(1) 3|x^2 - 4| = y - 2

y=2+3|x^2 - 4|= always a +ve value, regardless of x = +ve or -ve.

NOT SUFFICIENT

(2) |3 - y| = 11

y=-8 if y is +ve
y=14 if y is -ve

NOT SUFFICIENT

1)+2) y is +ve so y=-8.
SUFFICIENT
C
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by shovan85 » Thu Sep 30, 2010 10:08 am
sanabk wrote:(1) 3|x^2 - 4| = y - 2

y=2+3|x^2 - 4|= always a +ve value, regardless of x = +ve or -ve.

NOT SUFFICIENT

(2) |3 - y| = 11

y=-8 if y is +ve
y=14 if y is -ve

NOT SUFFICIENT

1)+2) y is +ve so y=-8.
SUFFICIENT
C
Great work!!
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