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# If the product of two integers is odd, which of the following must be

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Math Expert
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If the product of two integers is odd, which of the following must be  [#permalink]

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12 Oct 2017, 23:57
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If the product of two integers is odd, which of the following must be true?

A. The sum of the two integers is an odd number.
B. The difference between the two integers is an odd number.
C. The square of either integer is an odd number.
D. The sum of the squares of the two integers is an odd number.
E. The difference between the squares of the two integers is an odd number.

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Re: If the product of two integers is odd, which of the following must be  [#permalink]

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13 Oct 2017, 03:28
Option C is the answer.

from Question stem we can conclude that both the numbers are odd.

only C fits the requirement
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Re: If the product of two integers is odd, which of the following must be  [#permalink]

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16 Oct 2017, 17:16
Bunuel wrote:
If the product of two integers is odd, which of the following must be true?

A. The sum of the two integers is an odd number.
B. The difference between the two integers is an odd number.
C. The square of either integer is an odd number.
D. The sum of the squares of the two integers is an odd number.
E. The difference between the squares of the two integers is an odd number.

If the product of two integers is odd, both integers must be odd, since only odd x odd = odd. Thus, of the answer choices given, only C is true, since the square of an odd integer is also odd.

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Re: If the product of two integers is odd, which of the following must be &nbs [#permalink] 16 Oct 2017, 17:16
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# If the product of two integers is odd, which of the following must be

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