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If p and q are two statements, then (p r...

If p and q are two statements, then `(p rArr q) iff (~q rArr ~ p)` is

A

Contradiction

B

Tautology

C

Neither (i) nor (ii)

D

None of these

Text Solution

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The correct Answer is:
B
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-MATHEMATICAL LOGIC
  1. Which of the following is not a statement ?

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  2. Select and write the most appropriate answer from the given alternativ...

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  3. If p and q are two statements, then (p rArr q) iff (~q rArr ~ p) is

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  4. Select and write the most appropriate answer from the given alternativ...

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  5. Consider the following statements : p: He is intelligent q: He is ...

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  6. A biconditional statement is the conjunction of two --------------- st...

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  7. Select and write the most appropriate answer from the given alternativ...

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  8. State the negation of the statement: "The sun is not shining" .

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  9. Select and write the most appropriate answer from the given alternativ...

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  10. Find the negation of 10 + 20 = 30

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  11. Attempt the following State the truth Value of x^(2) = 25

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  12. Attempt the following Write the negation of p rarr q

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  13. Attempt the following State the truth value of sqrt(3) is not an irr...

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  14. Attempt the following State the truth value of (p vv ~p)

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  15. Attempt the following State the truth value of (p ^^ ~p)

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  16. Attempt the following If statements p, q are true and r, s are false...

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  17. Attempt the following Write the following compound statements symbol...

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  18. Attempt the following Write the converse and contrapositive of the f...

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  19. Without using truth table show that ~(p vvq)vv(~p^^q)-=~p

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  20. Write the negation of the statement "An angle is a right angle if and ...

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