Practice Questions 6 – Mathematical Reasoning – Class XI
Choose the Correct options
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Question 1 of 15
1. Question
1 point(s)The contrapositive of \(\left( {p \cup q} \right) \to r\) is
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is given.
Contrapositive of above statement is
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Question 2 of 15
2. Question
1 point(s)Converse of \(\left( {p \cap q} \right) \to r\) is
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is given.
Converse of above statement is
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Question 3 of 15
3. Question
1 point(s)Inverse of \(\left( {p \cup q} \right) \to \sim \left( {r \cap s} \right)\) is
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Given
is given.
Inverse of above statement is![\sim \left( {p \cup q} \right) \to \sim \left[ { \sim \left( {r \cap s} \right)} \right] \equiv \left( { \sim p \cap \sim q} \right) \to \left( {r \cap s} \right)](https://fosterjee.com/wp-content/ql-cache/quicklatex.com-ae7ad5ee71991368e27dd6ab3894015d_l3.png "Rendered by QuickLaTeX.com")
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Question 4 of 15
4. Question
1 point(s)Which of the following is a false statement.
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is a tautology -
Question 5 of 15
5. Question
1 point(s)The negation of the statement “The question paper is not easy and we shall not pass” is
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p: The question paper is easy.
q: We shall pass.
Given
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Question 6 of 15
6. Question
1 point(s)If p and q be two prepositions then \( p\cap q \) is false when
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Question 7 of 15
7. Question
1 point(s)If p and q be two prepositions then \( p\cup q \) is false when
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Question 8 of 15
8. Question
1 point(s)If p and q be two prepositions then \( p\cup q \) is true when
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Question 9 of 15
9. Question
1 point(s)Let p: she is beautiful.
q: She is clever, then the verbal form of \( \sim p \cap \left( { \sim q} \right) \) isCorrectIncorrectHint
p: She is beautiful.
q: She is clever.
She is not beautiful and not clever. -
Question 10 of 15
10. Question
1 point(s)Which of the following is not a preposition.
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Option 1, 2, & 4 have truth value.
But we can’t find the truth value of “Mathematics is interesting”.
Hence it is not a statement. -
Question 11 of 15
11. Question
1 point(s)“It is a statement iff it have a truth value.” This statement is
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p: It is a statement
q: It has a truth value
It is a statement iff it have a truth value. -
Question 12 of 15
12. Question
1 point(s)If p and q be two prepositions then \( p\to q \) is false when
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Question 13 of 15
13. Question
1 point(s)If p and q be two prepositions then \( \sim \left( {q \leftrightarrow p} \right) \) is true when
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Question 14 of 15
14. Question
1 point(s)Which of the following preposition is false
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is not equivalence to 
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Question 15 of 15
15. Question
1 point(s)\(\left( {p \cup q} \right) \cap \left( {p \cup r} \right)\) is equivalence to
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(Distributive law)