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Source: — Data Sufficiency |
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by selango » Sat Jun 19, 2010 9:44 pm
x^2+y^2>100

rephrasing

(x+y)^2-2xy>100

from stmt1,

2xy<100

xy<50

xy can be of any value,so insufficient.

from stmt2,

(x+y)^2>200

The least value (>200) is x+y=14.2

what ever value of x and y,x^2+y^2>100

IMO B
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by jube » Sun Jun 20, 2010 4:52 am
x^2 + y^2 = (x + y)^2 - 2xy

St 1 tells us only about 2xy so insuff.

St 2 tells us only about (x+y)^2 so again insuff.

St 1 & 2: tell us about the least value for the first term & greatest value for the 2nd term and hence are sufficient. Hence, C
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by mj78ind » Sun Jun 20, 2010 6:57 am
IMO B as well.

x+y > 10sqrt2

If x = y boundary condition, x = y > 5 sqrt2 for which x^2+y^2 always greater than 100.
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