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01 Mar 2012, 00:31
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E
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Difficulty:
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Question Stats:
78% (01:16) correct
22%
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wrong
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What is the value of x ?
(1) (x^2) + (y^2) = 25
(2) xy = 12
Thanks for your help.
(1) (x^2) + (y^2) = 25
(2) xy = 12
Thanks for your help.
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01 Mar 2012, 00:59
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What is the value of x ?
(1) x^2 + y^2 = 25. Two unknowns, hence cannot get the value of x. Not sufficient.
(2) xy = 12. Two unknowns, hence cannot get the value of x. Not sufficient.
(1)+(2) Now, we can go strictly algebraic way, though I'd suggest the following: x^2 + y^2 = 5^2 always makes me think about Pythagorean triple (3, 4, 5): 3^2+4^2=5^2. Now, 3 and 4 fit perfectly in xy = 12 too, so x can be 3 or 4. Moreover if we take the sign into consideration then there are even more options for (x, y): (3, 4); (4, 3); (-3, -4); (-4, -3). So, we have 4 possible values of x. Not sufficient.
Answer: E.
Hope it's clear.
(1) x^2 + y^2 = 25. Two unknowns, hence cannot get the value of x. Not sufficient.
(2) xy = 12. Two unknowns, hence cannot get the value of x. Not sufficient.
(1)+(2) Now, we can go strictly algebraic way, though I'd suggest the following: x^2 + y^2 = 5^2 always makes me think about Pythagorean triple (3, 4, 5): 3^2+4^2=5^2. Now, 3 and 4 fit perfectly in xy = 12 too, so x can be 3 or 4. Moreover if we take the sign into consideration then there are even more options for (x, y): (3, 4); (4, 3); (-3, -4); (-4, -3). So, we have 4 possible values of x. Not sufficient.
Answer: E.
Hope it's clear.
General Discussion
01 Mar 2012, 08:32
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x=?
a) x^2 + y^2 = 25
x^2+ y^2 = 5^2
but we cannot deduce value of x ---NS
b) x*y = 12
Clearly not sufficient
a+b) x^2+y^2+2xy= (x+y)^2
25+24= (x+y)^2
7 = x+y
need y to calculate X --NS
E
a) x^2 + y^2 = 25
x^2+ y^2 = 5^2
but we cannot deduce value of x ---NS
b) x*y = 12
Clearly not sufficient
a+b) x^2+y^2+2xy= (x+y)^2
25+24= (x+y)^2
7 = x+y
need y to calculate X --NS
E
