Logic questions | form five Pure Advanced Mathematics

Find Logic examination questions, form five Pure Advanced Mathematics in acaproso.com

#	Question
1	Simplify the proposition $sim ((p wedge q) ightarrow (p vee q))$ by using laws of algebra. Mathematical Calculation
2	Use the truth table to determine whether $[(p ightarrow sim q) wedge (q vee r) wedge p] ightarrow r$ is tautology. Mathematical Calculation
3	Use the laws of algebra to prove that the propositions $p wedge (q vee r)$ and $[p ightarrow (q vee sim r)] ightarrow (p wedge q)$ are equivalent. Mathematical Calculation
4	Draw the simplified electrical circuit for the argument $[p wedge (p vee q)] vee [q wedge sim(p wedge q)]$ Mathematical Calculation
5	Use the truth table values only to show whether or not $pleftrightarrow sim q$ and $sim (p wedge q)$ are logically equivalent. Mathematical Calculation
6	Use the truth table to test the validity of the following argument. If I am intelligent , then I will pass this examination. I am intelligent. Therefore I will pass this examination. Mathematical Calculation
7	Write the converse, inverse and contrapositive of the statement “ If Mathematics is interesting then Biology is boring and tough”. Mathematical Calculation
8	Prepare a truth table for the proposition $((q ightarrow sim p) wedge ((p vee r) wedge q)) ightarrow r$ . Mathematical Calculation
9	Determine the truth value and comment on the validity of the argument below using truth table. $p ightarrow (q vee sim r)$ $q ightarrow (p wedge r)$ $[(q vee sim r) wedge (p wedge r)] ightarrow r$ . Mathematical Calculation
10	Determine the validity of the following argument. “If there is rain , the crops will grow well . If crops grow well, there is no famine. But there is famine. Therefore there is no rain. Mathematical Calculation