EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 7th January 2020 Shift 2>Q 36

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IMPORTANT

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Let $A, B, C$ and $D$ be four non-empty sets. The contrapositive statement of “If $A \subseteq B$ and $B \subseteq D$ , then $A \subseteq C$ ” is

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Important Questions on Mathematical Reasoning

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 8th January 2020 Shift 1>Q 37

Which one of the following is a tautology?

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 8th January 2020 Shift 2>Q 38

Which of the following statements is a tautology?

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 9th January 2020 Shift 1>Q 39

Negation of the statement:

\sqrt{5}

is an integer or

5

is irrational is:

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 9th January 2020 Shift 2>Q 40

If

p \to (p \land ~ q)

is false, then the truth values of

p

and

q

are respectively

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 9th April 2019 Shift 1>Q 41

For any two statement

p

and

q,

the negative of the expression

p \lor (~ p \land q)

is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 9th April 2019 Shift 2>Q 42

If

p \Rightarrow (q \lor r)

is

F a l s e

, then the truth values of

p, q, r

are respectively, (where

T

is

T r u e

and

F

is

F a l s e

)

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 9th January 2019 Shift 1>Q 43

If the Boolean expression

(p \oplus q) \land (~ p ⊙ q)

is equivalent to

p \land q,

where

\oplus, ⊙ \in \{\land, \lor\},

then the ordered pair

(\oplus, ⊙)

is

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 9th January 2019 Shift 2>Q 44

The logical statement

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

is equivalent to