KöMaL 2016 K516

Consider the sets $A = \{a, 2a+1, a^{2}+1\}$, $B =\{b+3, 10, b-1\}$. Find appropriate positive integers $a$ and $b$ such that the two sets have $a)$ no element in common; $b)$ exactly 1 element in common; $c)$ exactly 2 elements in common; $d)$ the same elements.