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Given below are two pairs of statements....

Given below are two pairs of statements. Combine these two statements using ''if and only if ''.
(i) p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a square.
(ii) p: If the sum of digits of a number is divisible by 3, then the number is divisible by 3.
q: If a number is divisible by 3, then the sum of its digits is divisible by 3.

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NEW JOYTHI PUBLICATION-MATHEMATICAL REASONING-QUESTION FROM COMPETITIVE EXAMS
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  2. The statement ~(ptoq) is equivalent to

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  3. If p:4 is an even prime number q:6 is a divisor of 12 and r: The H...

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  4. Which of the following is not true for any two statements p and q?

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  5. Let p be the statement 'Ravi races' and let q be the statement 'Ravi w...

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  6. Identify the wrong statement from the below

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  7. Let p:7 is not greater than 4 and q: Paris is in France be two state...

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  8. If S(p,q,r)=(~p)vv[~(q^^r)] is a compound statement, then S(~p,~q,~r) ...

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  9. For any two statements p and q, ~(pvvq)vv(~p^^q) is logically equivale...

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  10. Let p: roses and red and q: The sun is a star. Then the verbal transla...

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  11. The statement pto(q to p) is equivalent to

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  12. The negation of (pvv~q)^^q is

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  13. Which one of the following is not a statement?

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  14. If p:2 plus 3 is five and q: Delhi is the capital of India are two s...

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  15. Which one of the following is a statement?

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  16. Let p,q and r be any three logical statements. Which one of the follow...

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  17. The truth values of p,q are r for which (p^^q)vv(~r) has truth value F...

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  18. ~[(~p)^^q] is logically equivalent to

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  19. The statement ~(ptoq) is equivalent to

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  20. The statement pto(q to p) is equivalent to

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  21. Statement-1: ~(pharr~q) is equivalent to (pharrq). Statement-2: ~(p...

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