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Mathematical Re...

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  • Question 1
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    If statement (pq)(qr)(p\rightarrow q)\rightarrow (q\rightarrow r) is false, then truth values of statements p,q,rp,q,r respectively, can be :

  • Question 2
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    p(qp)=?p \wedge ( q \vee \sim p ) =?

  • Question 3
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    Negation of (pq)(\sim p\rightarrow q) is ________________.

  • Question 4
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    Consider the statement "if it is raining, then sky is not filled with clouds which among the Q 7 following is true

  • Question 5
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    The statement P(qr)P \rightarrow ( q \vee r ) is not equivalent to

  • Question 6
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    The false statement in the following is

  • Question 7
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    Consider the following statements
    P:P:Suman is brilliant
    Q:Q:Suman is rich
    R:R:Suman is honest.
    The negative of the statement."Suman is brilliant and dishonest, if and only if Suman is rich" can be expressed as

  • Question 8
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    The negation of p(q r)p\wedge \left( q \rightarrow\ r \right) is

  • Question 9
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    Consider the following two statements: P:P: if 77 is an odd number, then 77 is divisible by 22.Q:Q: if 77 is a prime number, then 77 is an odd number If V1V_{1} is the truth value of the contrapositive of PP and V2V_{2} is the truth value of contrapositive of QQ. Then the ordered pair (V1,V2)\left(V_{1},V_{2}\right) equals:

  • Question 10
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    Negation of p(p q)p \to \left( {p \vee  \sim q} \right) is

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