Data Sufficiency

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

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!!

(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

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!!