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Consider the following statements: p ...

Consider the following statements:
p : I shall pass, q : I study
The symbolic represention of the proposition " I shall pass iff I study" is

A

` p toq`

B

`q to p`

C

` p to ~ q`

D

` p harr q`

Text Solution

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The correct Answer is:
D
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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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