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Consider the proposition : " if the pres...

Consider the proposition : " if the pressure increases, the volume decreases". The negation of this propositions is

A

If the pressure does not increase the volume does not decrease

B

of the volume increases, the pressure decreases,

C

if the volume does not decrease, the pressure, does not increase

D

If the volume decreases, then the pressure increases.

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-MATHEMATICAL REASONING -Exercise
  1. Which of the following is logically equivalent to ~(~pto q)?

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  2. which of the following is a contradiction ?

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  3. The negative of the statement If a number isdivisible by 15 then it is...

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  4. Consider the proposition : " if the pressure increases, the volume dec...

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  5. Consider the proposition : " if we control polulation growth, we prosp...

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  6. The negative of p ^^ ~ ( p ^^ r) is

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  7. The nagative of p ^^ ~ ( ~ q ^^ r) is

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  8. The contra positive of ( ~ p ^^ q) to ~ r is

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  9. p to q is logically equivalent to

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  10. Which of the following is logcially equivalent to ~ ( p harr q) ?

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  11. Which of the following is logically equivalent to ~( p to q) ?

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  12. which of the following is logically equivalent to ( p ^^ q) ?

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  13. The contrapositive of 2x +3 =9 Rightarrow x ne 4 is

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  14. The proposition (p to ~p) ^^ (~p to p) is a

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  15. Consider the following statements: p : I shall pass, q : I study ...

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  16. The proposition p to ~ (p ^^ ~ q) is

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  17. ~(p vv q)vv (~p ^^ q) is logically equivalent to

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  18. The negation of the compound proposition p vv ( ~ p vv q) is

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  19. Let p be the proposition that Mathematics is interesting and q be the ...

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  20. The inverse of the proposition ( p ^^ ~ q) to s

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