Suppose that a program determines the total calorie intake for a person is determined based on the weight and the height of that person. Height $($in inches$)$ is divided into two categories $(60-72)$ and $(73-84)$ and the wight is divided into three categories $(100-150),(151-200),$ and $(201-250).$ Weight over $250$ and less than $100$ is considered as invalid and height less than $60$ and more than $84$ is considered as invalid for this program.

Also, suppose you are going to test this software using equivalent partitioning considering both valid and invalid partitions. Consider only integers for the height and weight when deciding equivalent partitions.

Q$1.$ How many equivalent partitions are there for weight?

Q$2.$ How many equivalent partitions are there for height?

Q$3.$ How many test cases are needed for the weak normal scenario?

Q$4.$ How many test cases are needed for the strong robust scenario

Q$5.$ Which of the following test case cannot be part of weak robust scenario $,$ or $D?$

A$.(65,125)$

B$.(59,278)$

C$.(72,275)$

D$.(86,165)$