Write the following statement in the form of "if-then":
"You get a job implies that your credentials are good."

Which of the following are pairs of equivalent circuits?

The equivalent form of the statement $\sim(p \rightarrow \sim q)$ is $ . . . . . . $

Consider the following three statements:
$(A)$ If $3+2=7$ then $4+3=8$.
$(B)$ If $5+2=7$ then earth is flat.
$(C)$ If both $(A)$ and $(B)$ are true then $5+6=11$.
Which of the following statements is correct?

Write the negation of the following statement:
Both the diagonals of a rectangle have the same length.

Given $p$: $A$ man is a judge,$q$: $A$ man is honest. If $S_1$: If a man is a judge,then he is honest; $S_2$: If a man is a judge,then he is not honest; $S_3$: $A$ man is not a judge or he is honest; $S_4$: $A$ man is a judge and he is honest. Then: