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If x and y are integers and x + y is even, which of the following must
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04 Jul 2023, 04:29
04 Jul 2023, 04:29
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If x and y are integers and x + y is even, which of the following must be even?
A. x
B. y
C. xy
D. (x + 1)(y + 1)
E. x(y + 1)
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Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE NUMBER PROPERTIES
A. x
B. y
C. xy
D. (x + 1)(y + 1)
E. x(y + 1)
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE NUMBER PROPERTIES
Re: If x and y are integers and x + y is even, which of the following must
[#permalink]
04 Jul 2023, 12:38
04 Jul 2023, 12:38
2
If x+y is even, that means: Both even or both odd
That means x and y could be odd
So, cross-out A, B, and C.
For D: if both are even, x+1 and y+1 both becomes odd. So, (x+1)(y+1)= odd
For E: 1.if both odd:x(y+1)=odd*even=even
2.if both even: x(y+1)=even*odd=even
Both ways, we get even.
Ans:E
Posted from my mobile device
That means x and y could be odd
So, cross-out A, B, and C.
For D: if both are even, x+1 and y+1 both becomes odd. So, (x+1)(y+1)= odd
For E: 1.if both odd:x(y+1)=odd*even=even
2.if both even: x(y+1)=even*odd=even
Both ways, we get even.
Ans:E
Posted from my mobile device
gmatclubot
Re: If x and y are integers and x + y is even, which of the following must [#permalink]
04 Jul 2023, 12:38
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