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If \(a\) and \(b\) are both positive integers, is \(b^{a+1}-b\cdot a^b\) odd?
(1) \(a+(a+4)+(a-8)+(a+6)+(a-10)\) is odd
(2) \(b^3+3b^2+5b+7\) is odd
Answer: D
Source: Manhattan GMAT
(1) \(a+(a+4)+(a-8)+(a+6)+(a-10)\) is odd
(2) \(b^3+3b^2+5b+7\) is odd
Answer: D
Source: Manhattan GMAT
