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I will just add to what Martin said. We need to find which of the given numbers CANNOT be odd (i.e. it is always even) given that a,b,c are odd integers. So u have to find which of the given choices is always even.
Just remember the basic rules of numbers (as martin wrote)
Product of even number with any integer is always even and some of two odds is always even.
Then just a glance of choices will tell that answer is (E).