Is x^2 + y^2 > 6
(1) (x+y)^2 > 6
(2) xy = 2
(1) (x+y)^2 > 6
(2) xy = 2
First take: 640 (50M, 27V) - RC needs 300% improvement
Second take: coming soon..
Regards,
HSPA.
Second take: coming soon..
Regards,
HSPA.
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[DS][extreme] HSPA posts
Source: Beat The GMAT — Data Sufficiency |
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This time when I was scrolling down the screen I kept my fingers crossed as I was afraid to see "Sorry Pranay" again 
.
Coming to the question,
Option 1:
Consider X,Y as (1,3), (1, 1.6), (-4,1) this is INSUFFICIENT.
Option 2:
Consider X,Y as (1,2), (4, .5) this is INSUFFICIENT.
Consider both, which is something similar to B. INSUFFICIENT.
Now the obvious question you would get after going through the X,Y values in option 1 is why and how 1.6?
To answer that, given from 1, (x+y)^2 > 6 => (x+y) > sqrt(6) which is close to 2.5
Thus, we can rewrite option 1 as, (x+y) > 2.5
Thus E.
.Coming to the question,
Option 1:
Consider X,Y as (1,3), (1, 1.6), (-4,1) this is INSUFFICIENT.
Option 2:
Consider X,Y as (1,2), (4, .5) this is INSUFFICIENT.
Consider both, which is something similar to B. INSUFFICIENT.
Now the obvious question you would get after going through the X,Y values in option 1 is why and how 1.6?
To answer that, given from 1, (x+y)^2 > 6 => (x+y) > sqrt(6) which is close to 2.5
Thus, we can rewrite option 1 as, (x+y) > 2.5
Thus E.
Regards,
Pranay
Pranay
st 1: x^2+y^2+2xy >6 here x and y can be positive or negative so not suff.
st 2: xy=2 not suff
taken together st 1 becomes x^2+y^2+4>6
x^2+y^2>4, it can eb equal to 5 or 10 or anything.
so E.
st 2: xy=2 not suff
taken together st 1 becomes x^2+y^2+4>6
x^2+y^2>4, it can eb equal to 5 or 10 or anything.
so E.
