JIPMAT (QA) PYQs

$2^{122} + 4^{62} + 8^{42} + 4^{64} + 2^{130}$ is divisible by which one of the following integers?

If the seven digit number $94 a 29 b 6$ is divisible by 72 , then what is the value of $(2 a+3 b)$ for $a \neq b$ ?

If the eight-digit number $5a32465b$ is divisible by $88$, then $2a+ 5b =$