J number: doo 80 212 Please answer all the questions, each question is 5 points.

Question

J number: doo 80 212 Please answer all the questions, each question is 5 points. 1. When individual given statements p, q have truth value "FALSE" the implication statement p-q will have truth value of "TRUE" a. True/Yes. b. False/No c. Both d. None if q then p and is 2. The bi-conditional statement really mean: If p then q and and q is repress ented symbolic form like the following (P is precedent antecedent statements respectively) a. p q b. p q d. per 3. Tautology is a statement that is always a. True b. False c. Sometimes True and Sometimes False d. Can't be determined 4. Which of the following is the negation statement of (Wx)p(x) a. (H) p(r) 5. Universal quantifiers are represented with which symbol 6. Which of the following relations, defined on t1, 2, 3, 4h are symmetric? -R1 f(1, 1), (1, 2), (2, 1, (2, 2), (3,4, (4, 1), (4,40 -R2 (1, 1), (1, 2), (2, 1)

Explanation / Answer

Ans:

1.c

2 d

3 a

Explanation:

4. a

Explanation: The statement: "It is not true that all x have the property P" is equivalent to:

                     "There is an x for which ~P is true".

5 a

6. R2={(1,1),(1,2),(2,1)}

7. b) 5+3=8

        Explanation: Since it is not possible to take both Car and Bi-Cycle. So, they are

         disjoint sets . Different ways Rays can get to work:=5+3=8

8. d NONE is not a palindrome

Explanation: (Palindrome is a word that can read same as left and right side..e.g: MADAM

10. A={2,3,4}, B={3,4,5,6}

Then   AUB={2,3,4,5,6}

    a) (AUB)’={1,7,8,9}

b) Now,

    (AB)={common element between sets A and B}

              ={3,4}   then (A B)XA={3,4}X{2,3,4} ={(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)}

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