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Ds is x> Y^2

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Source: — Data Sufficiency |
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by n@resh » Thu Sep 01, 2011 8:33 pm
venmic wrote:is x> Y^2

1) x> y+5

2) x^2 - y^2 =0
from Statement 1: X > y+5 ... X can be take varied values like -1 with y = -7..which is X < Y^2
also say x = 5 and y = -2 which is X > Y^2!,
Not sufficient!

from statement 2: x^2 - y^2 = 0, say x = 2 and y = -2... which is X < Y^2!
Also, x = 1/2, y = 1/2 ...which leads to X > Y^2!
so, it's not suffcient.

combine 2 statements:
1) X > Y + 5 2) X^2 - Y^2 = 0.
suitable values for the above 2 conditions are: X = + or - Y values!
x = 3 and Y = -3, or x = 4 or -4 , or 5 or -5...etc
except X = 1 and Y = -1 or X = 2 and Y = -2 ..also no fraction values suitable for the 2 condition!

finally, for all the satisfied values , the given expression will always be X < Y^2!

Hence Ans will be C!
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by Anurag@Gurome » Thu Sep 01, 2011 8:49 pm
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by ArpanaAmishi » Fri Sep 02, 2011 1:04 am
n@resh wrote:
venmic wrote:is x> Y^2

1) x> y+5

2) x^2 - y^2 =0
from Statement 1: X > y+5 ... X can be take varied values like -1 with y = -7..which is X < Y^2
also say x = 5 and y = -2 which is X > Y^2!,
Not sufficient!

from statement 2: x^2 - y^2 = 0, say x = 2 and y = -2... which is X < Y^2!
Also, x = 1/2, y = 1/2 ...which leads to X > Y^2!
so, it's not suffcient.

combine 2 statements:
1) X > Y + 5 2) X^2 - Y^2 = 0.
suitable values for the above 2 conditions are: X = + or - Y values!
x = 3 and Y = -3, or x = 4 or -4 , or 5 or -5...etc
except X = 1 and Y = -1 or X = 2 and Y = -2 ..also no fraction values suitable for the 2 condition!

finally, for all the satisfied values , the given expression will always be X < Y^2!

Hence Ans will be C!
for second if we do like this

X^2 - Y^2 = 0.
X^2= Y^2 -> X=+/-Y ....is this a correct approach ?
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by saketk » Fri Sep 02, 2011 2:10 am
yes
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by prateek_guy2004 » Fri Sep 02, 2011 12:55 pm
Yes arpana thats a correct approach,

Statement 1 x> y+5

Gives a wide variety of nos which sometimes satisfy and sometimes dosent..

Statement 2 x^2 - y^2 =0

Again give a +- answer
(x+y)(x-y)
x=y
x= -y
Not sufficient

If we conclude both answers we can answer .....

Hence C
Don't look for the incorrect things that you have done rather look for remedies....

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