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Write each of the statements in the form...

Write each of the statements in the form "if p, then q".
i. `p`: It is necessary to have a password to log on to the server.
ii. `q`: There is traffic jam whenever it rains.
iii. `r`: You can access the website only if you pay a subscription fee.

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The correct Answer is:
If you can access the website,then you pay a sibscription fee.
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Rewrite each of the following statements in the form ''p if and only if q'' r: If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

Write down the abscissa and ordinate of the following. (i) P (ii) Q (iii) R (iv) S

Write each of the following sentences in symbolic form using statement variables p and q. (i) 19 is not a prime number and all the angles of a triangle are equal. (ii) 19 is a prime number or all the angles of a triangle are not equal. (iii) 19 is a prime number and all the angles of a triangle are equal. (iv) 19 is not a prime number.

Write the negation of the following statements: (i) p: For every real number x, x^(2)gtx . (ii) q: There exists a rational number x such that x^(2) = 2 . (iii) r: All birds have wings. (iv) s: All students study mathematics at the elementary level.

NEW JOYTHI PUBLICATION-MATHEMATICAL REASONING-QUESTION FROM COMPETITIVE EXAMS
  1. Write each of the statements in the form "if p, then q". i. p: It is...

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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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