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Rewrite the follwing statement with the ...

Rewrite the follwing statement with the connective phrase "if ……, then ….." in five different ways conveying the same meaning :
If a number is a multiple of 9 , then it is a multiple of 3 .

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The correct Answer is:
(i) p implies q (i.e ., `prArrq`)
(ii) p only if q
(iii) p is sufficient condition for q
(iv) q is necessary condition for p
(v) `~qrArr~p` where
p : Anumber is multiple of 9 ,
q : A number is multiple of 3
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CHHAYA PUBLICATION-MATHEMATICAL REASONING -EXERCISE (Very short Answer Type Questions )
  1. In each of the following compound statements state with reasons whethe...

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  2. In each of the following compound statements state with reasons whethe...

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  3. Rewrite the follwing statement with the connective phrase "if ……, then...

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  4. Let A = { 2 , 3 , 4 ,5, 6 , 7 } , be a given set , find the truth valu...

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  5. Let A = { 2 , 3 , 4 ,5, 6 , 7 } , be a given set , find the truth valu...

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  6. Let A = { 2 , 3 , 4 ,5, 6 , 7 } , be a given set , find the truth valu...

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  7. Let A = { 2 , 3 , 4 ,5, 6 , 7 } , be a given set , find the truth valu...

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  8. Write the negation of each of the follwing quantified statements : {...

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  9. Write the negation of each of the follwing quantified statements : {...

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  10. Write the negation of each of the follwing quantified statements : {...

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  11. Write the negation of each of the follwing quantified statements : {...

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  12. Write the negation of each of the follwing quantified statements : {...

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  13. If p and q are two given statements the prove that , ~(p^^q)-=(~p)v...

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  14. If p and q and q are two statements , prove that (i) ~( p vee q) -...

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  15. If p and q are two given statements the prove that , ~(prArrq)-=(p)^...

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  16. If p and q are two given statements the prove that , ~(phArrq)-=(p^^...

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  17. Write down the negation of each of the following compound statements :...

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  18. Write down the negation of each of the following compound statements :...

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  19. Write down the negation of each of the following compound statements :...

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  20. Write down the negation of each of the following compound statements :...

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