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# If ab+c = even, then which of the following must be even? I) ac+b II)

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GMAT Club Legend
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 4047
Location: India
GMAT: QUANT EXPERT
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GMAT 1: 750 Q51 V41
WE: Education (Education)
If ab+c = even, then which of the following must be even? I) ac+b II)  [#permalink]

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29 Feb 2020, 01:40
00:00

Difficulty:

65% (hard)

Question Stats:

39% (02:14) correct 61% (01:58) wrong based on 23 sessions

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If ab+c = even, then which of the following must be even?

I) ac+b
II) bc+a
III) a*b*c

A) I only
B) II only
C) I and II only
D) III
E) None of them

Source; www.GMATinsight.com

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If ab+c = even, then which of the following must be even? I) ac+b II)  [#permalink]

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29 Feb 2020, 02:07
1
for following of the cases the condition ab+c = even stand true
1. both a&b are odd and c is odd
2. both a&b are even and c is even
3. either of a&b is even and odd ; and c is even

MUST BE TRUE
option 1; ac+b ; ( e*e+e) ; yes ; ( e*e+o) no
option 2; bc+a ; ( e*e+e); yes ; ( e*e+o) no
option 3; a*b*c ; ( e*e*e) ; yes ; ( o*o*o) no
IMO E: NONE

GMATinsight wrote:
If ab+c = even, then which of the following must be even?

I) ac+b
II) bc+a
III) a*b*c

A) I only
B) II only
C) I and II only
D) III
E) None of them

Source; http://www.GMATinsight.com
If ab+c = even, then which of the following must be even? I) ac+b II)   [#permalink] 29 Feb 2020, 02:07