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Mathematical Reasoning Test - 2

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Mathematical Reasoning Test - 2
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Weekly Quiz Competition
  • Question 1
    1 / -0

    Which of the following is a preposition?

    Solution

    It is a false statement other options are open sentences

  • Question 2
    1 / -0

    Let p and q be two prepositions given by P : The sky is blue, q : Milk is white, Then , p and q is

    Solution

    using conjunction to combine statement

  • Question 3
    1 / -0

    Let p and q be two prepositions given by p : I play cricket during the holidays, q : I just sleep throughout the day then , the compound statement p ∧q is

    Solution

    ∧ is replaced by and in verbal form

  • Question 4
    1 / -0

    Let p and q be two prepositions given by p : It is hot, q : He wants water Then , the verbal meaning of p→q is

    Solution

    → symbol is replaced by if p then q

  • Question 5
    1 / -0

    Let p and q be two prepositions given by p : I take only bread and butter in breakfast. q : I do not take anything in breakfast. Then , the compound proposition “ I take only bread and butter in breakfast or I do not take anything “ is represented by

    Solution

    and is replaced by ∧

    or is replaced by ∨

  • Question 6
    1 / -0

    Let p and q be two prepositions given by p : To become an airforce officer one should be graduate. q : To become an airforce officer one should have good health. The compound proposition “ To become an airforce officer one should be a graduate and should have good health “ is represented by

    Solution

    the statement before and is p .The statement after and is q.and is replaced by∧

  • Question 7
    1 / -0

    Let p and q be two prepositions given by p : A parallelogram is a rhombus. q : The diagonals are at right angles. The compound proposition “ A parallelogram is a rhombus iff its diagonals are at right angles “ is represented by

    Solution

    iff means a double implication statement so symbolic form has ↔

  • Question 8
    1 / -0

    Let p and q be two prepositions given by p : I have the raincoat, q : I can walk in rain. The compound proposition “ If I have the raincoat , then I can walk in the rain “ is represented by

    Solution

    If then means an implication statement .hence we rewrite as p→q

  • Question 9
    1 / -0

    Which of the following is true for the propositions p and q ?

    Solution

    only F ∨ F ≡ F

    Hence ∼ F ≡ T

  • Question 10
    1 / -0

    The logically equivalent propositions of p↔q is

    Solution

    p↔q≡(p→q)∧(q→p)

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