tough question

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DavoodBeater: Senior | Next Rank: 100 Posts; Posts: 57; Joined: Mon Nov 17, 2008 7:04 am; Thanked: 1 times

by DavoodBeater » Thu Jan 08, 2009 1:35 pm

What is the value of y?

(1) 3|x2 – 4| = y – 2

(2) |3 – y| = 11

OA: C

[spoiler]state 1: y >= 2
state 2: y = 11 or y = -8
=> correct answer is C[/spoiler]

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Source: Beat The GMAT — Data Sufficiency | Thu Jan 08, 2009 1:35 pm

logitech: Legendary Member; Posts: 2134; Joined: Mon Oct 20, 2008 11:26 pmFollowed by: 25 members; Thanked: 237 times; GMAT Score:730

Re: tough question

by logitech » Thu Jan 08, 2009 2:33 pm

(1) 3|x2 – 4| = y – 2

This first statement tells us that the left side of the equation is a non-negative number. We do not have X in the rest of the question so

y-2>0

(2) |3 – y| = 11

a) 3-y = 11 , this gives a negative y

b) y-3 -11 , this gives us a positive y

Since we know y can not be negative, we can choose (C)

LGTCH
---------------------
"DON'T LET ANYONE STEAL YOUR DREAM!"

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ronniecoleman: Legendary Member; Posts: 546; Joined: Sun Nov 16, 2008 11:00 pm; Location: New Delhi , India; Thanked: 13 times

by ronniecoleman » Fri Jan 09, 2009 12:24 am

What is the value of y?

(1) 3|x2 – 4| = y – 2

(2) |3 – y| = 11

from 2)

y = -8

y = 14

insuff

from 1)

no idea about the value of y but know its sign

insuff

from 1) & 2)

we know y has to be positive for first equation

Go with C

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