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If the product of integers a, b, c, and d is an even integer, which of

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Bunuel
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If the product of integers a, b, c, and d is an even integer, which of [#permalink] New post   27 Nov 2022, 10:15
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A
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E

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If the product of integers a, b, c, and d is an even integer, which of the following statements about a, b, c, and d must be true?

A. None of the integers is zero.
B. At least two of the integers are even integers.
C. At least two of the integers are odd integers.
D. None of the integers is an odd integer.
E. Not all of the integers are odd integers.
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E
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divyadna
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Re: If the product of integers a, b, c, and d is an even integer, which of [#permalink] New post   27 Nov 2022, 10:37
abcd= 0/2/4/6/8....
Let's rule out the options
A. Since product can be 0, one or more integers can be 0. Reject
B.At least two of the integers are even integers.
It may be true, but must not be true.
C. At least two of the integers are odd integers.
It may be true, but must not be true.
D. None of the integers is an odd integer.
It may be true, but must not be true.
E.Not all of the integers are odd integers.
This must be true since if all the integers are odd, product will be odd. Atleast one of the integers must be even.
Option E is the answer IMO

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MajorOrange
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Re: If the product of integers a, b, c, and d is an even integer, which of [#permalink] New post   28 Nov 2022, 03:10
Sir Bunuel, please post official answers too, if you have the time.
Really appreciate you taking the time to post the questions, but just that we need to have some source to validate our answers too.

TIA!
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Bunuel
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Re: If the product of integers a, b, c, and d is an even integer, which of [#permalink] New post   28 Nov 2022, 03:17
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MajorOrange wrote:
Sir Bunuel, please post official answers too, if you have the time.
Really appreciate you taking the time to post the questions, but just that we need to have some source to validate our answers too.

TIA!


The OA will be automatically revealed on Thursday 1st of December 2022 09:15:03 AM Pacific Time Zone

The OE's are always posted if they are available.
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03031998Carolyne
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Re: If the product of integers a, b, c, and d is an even integer, which of [#permalink] New post   29 Nov 2022, 11:57
E is the answer.

At least one of the integers must be even to make the product an even number. Option E says this in different terms
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Re: If the product of integers a, b, c, and d is an even integer, which of [#permalink]
29 Nov 2022, 11:57
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