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Source: — Data Sufficiency |
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by ajith » Fri Feb 19, 2010 9:19 pm
gmatnmein2010 wrote:If x and y are integers and y = | x + 3| + | 4 - x|. Does y equal 7?
(1) x < 4
(2) x > -3
y = 7

when | x + 3| is positive and | 4 - x| is positive
i.e. x < 4 and x > -3

1) alone is not sufficient
2) alone is not sufficient

Combined
y = | x + 3| + | 4 - x| = x + 3 + 4 - x = 7
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by thephoenix » Fri Feb 19, 2010 9:43 pm
gmatnmein2010 wrote:If x and y are integers and y = | x + 3| + | 4 - x|. Does y equal 7?
(1) x < 4
(2) x > -3
initially the q stumped me
but then luking at the statments i got my ans

its simple putting x=-3 or 4 we get y=7
and substituting x >4 and x<-3 the answers varies
hence y=7 when -3<x<4
i.e is nothing but s1 and s2 combined
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by shashank.ism » Sun Feb 21, 2010 1:25 am
gmatnmein2010 wrote:If x and y are integers and y = | x + 3| + | 4 - x|. Does y equal 7?
(1) x < 4
(2) x > -3
y = | x + 3| + | 4 - x|
y = 7 only if | x + 3| = x+3 and | 4 - x|= 4-x
| x + 3| = x+3 --> x+3> 0 --> x>-3
and | 4 - x|= 4-x --> 4-x > 0 --> x<4

St.1 not suff.
St.2 Not suff.
combined .Suff..Ans C
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