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Write the contrapositive and converse of...

Write the contrapositive and converse of the following statements.
If x is a prime number, then x is odd.

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Write the contrapositive of the following statement: (i) If a number is not divisible by 3, it is not divisible by 9. (ii) If you are not a citizen of India, then you were not born in India. (iii) If a triangle is not isosceles, then it is not equilateral.

Write down the contrapositive statements of the following statements i. if a number is divisible by 9, then it is divisible by 3 ii. If a triangle is equilateral, then it is isoceles.

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Find the cardinal number of the following sets. X = {x : x is an even prime number}.

Write the negation of the following statement: i. p: for every positive real number x, the number x-1 is also positive. ii. q : All cats scratch. r: For every real number x, either x>1 or x iv. s : There exists a number x such that 0ltxlt1 .

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NEW JOYTHI PUBLICATION-MATHEMATICAL REASONING-QUESTION FROM COMPETITIVE EXAMS
  1. Write the contrapositive and converse of the following statements. I...

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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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