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Write the negation of the following stat...

Write the negation of the following statement: `r :` There exists a number `x` such that `0

A

there does not exist a number x such that `0 lt x lt 2`

B

there does not exist a number x such that `0 lt x lt 1`

C

Both (a) and (b)

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
The negation of given statement is ''There does not exist a number x such that `0 lt x lt 1`''.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MATHEMATICAL LOGIC -MHT CET CORNER
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  3. Which of the following quantified statement is true?

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  6. The inverse of the statement (p ^^ ~ q) -> r is

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  8. For the circuit shown below, the Boolean polynomial is

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  9. Dual of (x vv y) ^^ (x' vv 1) is

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  10. If p,q,r are single proposition with truth values T, F, F, then the tr...

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  11. The output of the following circuit is

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  12. The proposition (~p)vv(p^~q) is equivalent to

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  13. ~(~p to q) is equivalent to

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  14. Simplify the following circuit and it is equivalent to.

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  16. Negation of the conditional ''If it rains, I shall go to school'' is

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  17. The dual of the statement [p vv(~q)]^^(~p) is

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  18. Which of the following statement has the truth value F ?

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  20. ~(p harr q) is a

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