State which are TRUE and which are FALSE (Question 1) and 2) both have same options)
$1)$If there is an algorithm for polynomial time reduction from A to B?
$2)$ if there is an algorithm for exponential time reduction from A to B?
Consider the following cases
$a)$ If A can have an exponential time algorithm then B also can have exponential time algo
$b)$ If B can have an polynomial time algorithm then A can have exponential time algo
$c)$ If B can have an exponential time algorithm then A can have polynomial time algo
$d)$ A can have an polynomial time algorithm then B can have polynomial time algo