unuel', ), ); ?> If m and n are positive integers, is the product mn even : Data Sufficiency (DS)
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If m and n are positive integers, is the product mn even

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If m and n are positive integers, is the product mn even  [#permalink]

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New post 20 Apr 2018, 06:26
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A
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D
E

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If m and n are positive integers, is the product mn even  [#permalink]

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New post 20 Apr 2018, 09:27
Bunuel wrote:
If m and n are positive integers, is the product mn even?

(1) m + 1 is odd.
(2) m + n is odd



Statement (1) is sufficient.

m+1 is odd, therefore m is even and product mn is even


Statement (2) is sufficient.

m+n is odd. Therefore either m or n is even and other odd.

odd+even = odd

even+odd = odd

Therefore mn is even.

Hence (D) EACH statement ALONE is sufficient is the answer.
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Re: If m and n are positive integers, is the product mn even  [#permalink]

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New post 20 Apr 2018, 10:34
1
Given - m >0 , n >0

To prove: mn = even
Type- Y/N

For product to be even, one number should be even.

1. m +1 = odd
=> m is even (even+ odd= odd)
Sufficient

2. m+ n = odd
=> either m or n is even
Sufficient

Answer is D
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Re: If m and n are positive integers, is the product mn even &nbs [#permalink] 20 Apr 2018, 10:34
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