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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
If y is an odd integer, which of the following must be an even integer
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11 Mar 2022, 10:10
11 Mar 2022, 10:10
1
Expert Reply
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Question Stats:
60% (00:22) correct
40% (00:26) wrong based on 5 sessions
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If y is an odd integer, which of the following must be an even integer?
(A) y + 2
(B) y + 6
(C) 2y − 1
(D) 3y
(E) 3y + 1
(A) y + 2
(B) y + 6
(C) 2y − 1
(D) 3y
(E) 3y + 1
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Re: If y is an odd integer, which of the following must be an even integer
[#permalink]
12 Mar 2022, 22:01
12 Mar 2022, 22:01
1
Expert Reply
Addition and Multiplication rules: (O= odd ; E = even)
E*E = E
E*O = E
O*O = O
E+E = E
E+O = O
O+O = E
We know y is odd. Which MUST give even.
1 and 2: eliminated as we are adding an even number to an odd, hence the result is odd.
3: E*O - O, will give us an even number - an odd ==> odd
4: O*O ==> eliminated
5: O*O + 1 = O + O ==> even
==> E
E*E = E
E*O = E
O*O = O
E+E = E
E+O = O
O+O = E
We know y is odd. Which MUST give even.
1 and 2: eliminated as we are adding an even number to an odd, hence the result is odd.
3: E*O - O, will give us an even number - an odd ==> odd
4: O*O ==> eliminated
5: O*O + 1 = O + O ==> even
==> E
gmatclubot
Re: If y is an odd integer, which of the following must be an even integer [#permalink]
12 Mar 2022, 22:01
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