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06 Nov 2020, 00:14
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If x and y are integers, is (x+y)(y+1) an even integer?
(1) x is an even integer.
(2) y is an even integer.
(1) x is an even integer.
(2) y is an even integer.
Chetan's questions
06 Nov 2020, 00:16
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06 Nov 2020, 00:33
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IMO A
The product of two integers is even when i) either of the integers is even , ii) both the integers is even
ST1 : X is even. (Even + Y) (Y+1) , Y can be even or odd and if Y is even , the entire expression is even and if Y is odd, again the expression is even.
St1 is sufficient.
St 2 : Y is even >> (X + Even) (Odd) = if X is odd, the expression is odd and if X is even, the expression is even.
Therefore St 2 is insufficient.
The product of two integers is even when i) either of the integers is even , ii) both the integers is even
ST1 : X is even. (Even + Y) (Y+1) , Y can be even or odd and if Y is even , the entire expression is even and if Y is odd, again the expression is even.
St1 is sufficient.
St 2 : Y is even >> (X + Even) (Odd) = if X is odd, the expression is odd and if X is even, the expression is even.
Therefore St 2 is insufficient.
