Integers Properties

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Integers Properties

by BTGmoderatorRO » Fri Dec 29, 2017 8:57 am
If a is an even integer and b is an odd integer which of the following must be an odd integer :

A. a/b
B. ab
C. 2a+b
D. 2(a+b)
E. 3a/b

OA is C

What is the concept of Odd and Even here? An Expert view is needed.Thanks

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by GMATWisdom » Fri Dec 29, 2017 9:48 am
Roland2rule wrote:If a is an even integer and b is an odd integer which of the following must be an odd integer :

A. a/b
B. ab
C. 2a+b
D. 2(a+b)
E. 3a/b

OA is C

What is the concept of Odd and Even here? An Expert view is needed.Thanks
Let us try the options one by one
A. a/b can be an integer or a fraction hence ruled out
B. ab prodct of even and odd is always even hence ruled out
C. 2a+b shall always be odd because even plus odd is always odd.
Hence option C ic correct.