If $a$ and $b$ are positive integers, what is the remainder when $ab$ is divided by $40?$

If $a$ and $b$ are positive integers, what is the remainder when $ab$ is divided by $40?$

(1) $b$ is $60\%$ greater than $a.$

(2) Each of $a^2b$ and $ab^2$ is divisible by $40.$

Answer: A

Source: Manhattan GMAT

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