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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

Simplify the proposition sim ((p vee q) vee (sim p wedge q)).


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2

Translate the following compound statements in symbolic notation using letters P,Q and R to stand for the statments:

  1. Either the manufactured drug is not fault and accepted by the Tanzania Food and Drug Authority (TFDA) or the drug is fault and is not accepted by the TFDA.
  2. If Kapirima is a member of a social committee then the commitee is strong. The commitee is strong if and only if Kapirima`s argument is accepted by the other members. Therefore Kaprima`s argument is not accepted and the committee is not strong.

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3

Show whether the following statement is valid or not:

If I study hard, then I will not fail geography. If I do not fail to manage my time then I will study hard. But I failed Geography. Therefore I failed to manage my time.


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4

Let p be “He is tall” and q be “He is handsome” write each of the following statements in symbolic form using p and q:

  1. He is tall and handsome.
  2. He is neither tall nor handsome.

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5

Simplify the compound statement q vee (p wedge q{}`) vee (r wedge p{}`) using the algebraic laws for logical expressions and then draw the corresponding network.


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6

Construct the compound sentences for S1 and S2 having the following truth table and simplify S1 using algebraic laws for logical expressions.

p q r S1 S2
T T T F T
T T F F F
T F T T F
T F F F F
F T T F T
F T F F F
F F T T F
F F F F F

 


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7

Use a truth table to show that the statement sim P wedge [Q wedge ( sim Q vee P)] is a self-contradiction.


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8

Given that

P=”You like Economics”,

Q= “You like Geography”

and  R=”You like Advanced Mathematics”.

Express the following symbolically:

  1. You like Economics or Geography but not Advanced Mathematics.
  2. You like Economics and Geography or you do not like Economics and Advanced Mathematics.
  3. It is not true that you like Economics but not Advanced Mathematics.

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9

If Tabita will complete the Advanced Certificate of Secondary Education Examination (ACSEE) and obtain good credits then she will apply for BA Statistics in higher learning institution. Tabita will either apply fo BA or obtain good credits. Howeveer , Tabita has good credits. Therefore, she will apply for BA (Statistics). Formulate the hypotheses and determine whether the argument is valid.


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10

Using the laws of algebra in logic , verify that (p wedge q) ightarrow (p vee q) is a tautology.


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