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What is the remainder when x^2 - y^2 is divided by 3?
(1) x^2 is divisible by 6.
(2) y^2 is divisible by 9.
(1) x^2 is divisible by 6.
(2) y^2 is divisible by 9.
29 Apr 2013, 13:11
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What is the remainder when x^2 - y^2 is divided by 3?
(1) x^2 is divisible by 6. No info about y. Not sufficient.
(2) y^2 is divisible by 9. No info about y. Not sufficient.
(1)+(2) x^2 - y^2 = (multiple of 3) - (multiple of 3) = (multiple of 3), thus the remainder is zero. Sufficient.
Answer: C.
(1) x^2 is divisible by 6. No info about y. Not sufficient.
(2) y^2 is divisible by 9. No info about y. Not sufficient.
(1)+(2) x^2 - y^2 = (multiple of 3) - (multiple of 3) = (multiple of 3), thus the remainder is zero. Sufficient.
Answer: C.
29 Apr 2013, 14:11
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Such a simple way to solve it .. thanks Bunuel!
