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Mathematical Re...

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  • Question 1
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    The inverse proposition of $$(p \wedge \sim q)\Rightarrow r$$, is

  • Question 2
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    The contrapositive of $$(p \vee q)\Rightarrow r$$ is

  • Question 3
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    Which of the following is the inverse of the proposition "If a number is prime, then it is odd"?

  • Question 4
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    If $$x = 5$$ and $$ y = 2$$ then $$x - 2y = 9$$. The contrapositive of this statement is

  • Question 5
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    If $$x = 5$$ and $$y = -2$$, then $$x-2y = 9$$. The contrapositive of this statement is/are

  • Question 6
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    If $$p\rightarrow  (q \vee r)$$ is false, then the truth values of $$p,q,r$$ are respectively

  • Question 7
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    Choose the conclusion of given statements:


    All scientists working in America are talented. Some Indian scientists are working in America. Therefore, "Some Indian scientists are talented."

  • Question 8
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    Consider the statements 
    (i)Two plus three is five.
    (ii) Every square is a rectangle.
    (iii) Sun rises in the east.
    (iv) The earth is not a star. 
    Which of the above statements have truth value (T) ?

  • Question 9
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    The contrapositive of $$p\rightarrow (\sim q\rightarrow \sim r)$$ is equivalent to

  • Question 10
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    Which one of the following statements is not a false statement?

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