If a and b are both positive integers, is b^(a+1) - b(a^b) odd?

(1) a + (a + 4) + (a - 8) + (a + 6) + (a - 10) is odd

(2) b^3 + 3b^2 + 5b + 7 is odd

Explanation:

The trick to solving this question is to remember that for positive integers:

(a) Even^(positive integer) = even

(b) Odd^(positive integer) = odd

(c) even x even = even x odd = even

(d) even – even = even

(e) odd – odd = even

(f) even – odd = odd

Using statement (1):...

Categories : Number Properties |

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