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Re: If a , b , and c are consecutive odd integers, which express [#permalink]
1
Logic behind that question:
ODD-EVEN RULE:
ODD ± EVEN = ODD and ODD * ODD = ODD ; and Even otherwise.

There are 3 consecutive odd integers as: 1, 3, 5 i.e ODD, ODD, ODD integers.
Here ODD is denoted as O and Even is denoted by E.
Let's start manipulation.

A. ax(b+c) = Ox(O+O) = O x E = E (NOT!)
B. (a+b)-c = (O+O)-O = E-O = O (Yes!)
C. axbxc = OxOxO = OxO = O (Yes!)
D. 2x(c-a)+b = Ex(O-O)+O = ExE + O = E + O = O (Yes!)
E. a+b+c = O + O + O = E + O = O (Yes!)

Answer is : B, C, D, E

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