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Answer the following questions Prepare...

Answer the following questions
Prepare truth table for `(p ^^ q) vv ~r

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Prepare truth table for (p wedge q) vee ~r

Answer the following questions Using truth table prove that p vv (q ^^ r) -= (p vv q) ^^ (p vv r)

Answer the following questions Examine whether the statement pattern [p rarr (~q vv r)] harr ~[p rarr (q rarr r)] is a tautology, contradiction or contingency.

If the boolean expression ((p ^^ q) vv r) implies (p ^^ r) is false, then which of the following cannot represent ordered truth values of (p,q,r) ?

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

Using the truth table, prove the following logical equivalence : p hArr q -= (p ^^ q) vv(~p ^^~q) .

Write the duals of the following statements : (i) ( p vee q) vee r (ii) p ^^ q) ^^ r (iii) ( p vv q) ^^ (r vv s)

Let p,q r be three statements such that the truth value of (p ^^ q) to (q vv r) is F. Then the truth value of p,q r are respectively :

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-MATHEMATICAL LOGIC
  1. Attempt the following Write the negation of p rarr q

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

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

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

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

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

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

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

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

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  10. Answer the following questions Write the following statements in sym...

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  11. Use quantifiers to convert the given open sentence defined on N into a...

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  12. Answer the following questions Examine whether the statement pattern...

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  13. Using truth table prove that ~p ^^ q -=(p vv q) ^^ ~p

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  14. Write the dual of the following 13 is prime number and India is a de...

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  15. Answer the following questions Write the converse, inverse and contr...

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  16. Answer the following questions Examine whether the statement pattern...

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  17. Answer the following questions Using truth table prove that p vv (q ...

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  18. Answer the following questions Without using truth table show that ...

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  19. With proper justification state the negation of (p to q) vee (~q to ...

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  20. Answer the following questions Prepare truth table for (p ^^ q) vv ~...

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