MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 9 - Mathematical Logic>Critical Thinking>Q 21

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Which of the following statement is a contingency?

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Important Questions on Mathematical Logic

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 9 - Mathematical Logic>Critical Thinking>Q 22

If

A \equiv {4, 5, 7, 9}

, determine which of the following quantified statement is true.

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 9 - Mathematical Logic>Critical Thinking>Q 23

Using quantifier the open sentence

{}^{'}x^{2} > 0^{'}

defined on

N

is converted into true statement as

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 9 - Mathematical Logic>Critical Thinking>Q 24

Which of the following quantified statement is false?

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 9 - Mathematical Logic>Critical Thinking>Q 25

Given below are four statements along with their respective duals. Which dual statement is not correct?

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 9 - Mathematical Logic>Critical Thinking>Q 26

The dual of

' (p \land t) \lor (c \land ~ q)'

where

t

is a tautology and

c

is a contradiction, is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 9 - Mathematical Logic>Critical Thinking>Q 27

Negation of the proposition

(p \lor q) \land (~ q \land r)

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 9 - Mathematical Logic>Critical Thinking>Q 28

The negation of

p \lor (~ q \land ~ p)

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 9 - Mathematical Logic>Critical Thinking>Q 29

Which of the following is logically equivalent to

~ [p \to (p \lor ~ q)]

?