Mathematics Crash Course JEE Main>Chapter 18 - Mathematical Reasoning>Level 1>Q 22

EASY

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IMPORTANT

Earn 100

$~ ((~ p) \land q)$ is equal to

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Important Questions on Mathematical Reasoning

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 18 - Mathematical Reasoning>Level 1>Q 23

The negation of the statement

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

is

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 18 - Mathematical Reasoning>Level 1>Q 24

If $p, q$ and $r$ are simple propositions with truth values $T, F$ and $T$ , then the truth value of $((~ p \lor q) \land ~ p) \Rightarrow r$ is

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 18 - Mathematical Reasoning>Level 1>Q 25

The statement

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

is logically equivalent to

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 18 - Mathematical Reasoning>Level 1>Q 26

If

~ q \lor p

is

F

, then which of the following is correct?

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 18 - Mathematical Reasoning>Level 1>Q 27

If

p, q

and

r

are statements with truth values false, true and false respectively, then the truth value of

(~ p \lor ~ q) \lor r

is

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 18 - Mathematical Reasoning>Level 1>Q 28

Contrapositive of

p \to q

is

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 18 - Mathematical Reasoning>Level 1>Q 29

The proposition

(p \land q) \land (p \to ~ q)

is

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 18 - Mathematical Reasoning>Level 1>Q 30

The proposition

p \to ~ (p \land ~ q)

is a