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IanStewart
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decar96
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QuantMadeEasy
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Asad
If \(N=(a^4)(b^3)+1\). Is N odd?

(1) \(a^4\) is even
(2) \(b^2\) is odd
(1) a^4 is even, but b is unknown. b can be rational or irrational number. Insufficient

(2) Same reasoning, a is unknown here. Insufficient

(1)+(2) b^2 is odd, still b is unknown. b can be rational or irrational number.
Insufficient

E is correct
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decar96
I agree with you. However, an even number by definition must be an integer (could you give me an example of an even number who is not an integer?

I think you've misunderstood what I was saying. When we are told that a^4 is an even integer, that does not ensure that a itself is an integer. a might be an even integer, but a might also be equal to √2, say. That is why the question needs to tell you that the unknowns are integers.
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