Given that 𝑎 and 𝑏 are integers and 𝑎 + 𝑎 ²𝑏 ³ is odd, which one of the following statements is correct?

Answer :

Solution :

a + a²b³ is odd

Taking a common a

(1+ab³) is odd

Odd number is obtained after multiplication if both numbers multiplied are odd.

Hence, a is odd and 1+ab3 is also odd.

1+ab³ is odd, so ab³ will be even. (odd-1= even quantity)

Because a is odd so for ab³ to be even b must be even.

So, a is odd and b is even.