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Logic questions

Logic questions | form five Pure Advanced Mathematics

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

# Question
1
  1. Write the contrapositive of the inverse p ightarrow q
  2. Use the truth table to verify that the statement (pvee q)wedge ((sim p) wedge (sim q)) is a contradition.
  3. Use the laws of algebra of propositions to simplify the statement  qvee(p wedge sim q)vee (rwedge q) and hence draw the corresponding simple electrical network.
  4. Use the truth table to show that pleftrightarrow q logically implies p ightarrow q
  5. Without using the truth tables , prove that the proposition [(p ightarrow q)wedge (sim q)] ightarrow sim p is tautology.

Mathematical Calculation
2

Given the statement “If two vectors are orthogonal then their scalar (dot) product is zero”, Write its

  1. Inverse
  2. Converse
  3. Contrapositive

Mathematical Calculation
3

Determine the truth values of the following sentences:

  1. Either 2<1 or 2-7 eq -5
  2. If  2+1=10 then 12>10.

Mathematical Calculation
4

Let “P” be “She is tall” and “Q”  be “She is beautiful”. Write the verbal representation of the following statements :

  1. Pwedge Q.
  2. Pwedge ^{sim}Q.
  3. ^{sim}Pwedge ^{sim}Q.
  4. ^{sim}(Pvee ^{sim}Q).

Mathematical Calculation
5

Using the laws of algebra of propositions simplify [Pwedge (Pvee Q)]vee [Qwedge (Pvee Q)]


Mathematical Calculation
6
  1. Find a simplified sentence having the following truth table.
p q r  
T T T T
T T F T
T F T T
T F F T
F T T T
F T F F
F F T F
F F F F
  1. Draw a sample electric network that corresponds to the compound statement obtained in (i) above.

Mathematical Calculation
7

Use the laws of propositions of algebra to simplify (pwedge q)vee [sim r wedge (qwedge p)]


Mathematical Calculation
8

Describe the following argument in sysmbolic form and test its validity by using a truth table: “If he begs pardon then he will remain in school. Either he is punished or he does not remain in school. He will not be punished. Therefore, he did not beg pardon.”


Mathematical Calculation
9

Construct an electrical network for proposition (p wedge q)wedge [(r vee s)wedge w]


Mathematical Calculation
10

Draw a simplified electrical network using the following circuit.

Logic questions form five advanced pure mathematics


Mathematical Calculation