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JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Statement - 1: Contrapositive of "If the weather is cold, then it will snow" is "If it will not snow, then the weather is not cold".

Statement - 2: Negation of "If it snows then they do not drive the car" is "it snows and they drive the car".

Which of the following is true, regarding the above statements?

View answer and explanation

Correct option: B

Both

S_1, S_2

Option B (Both

S_1, S_2

) is correct because Statement 1 correctly states the contrapositive, and Statement 2 correctly states the negation of the given conditional statements.

More Questions from MATHEMATICAL REASONING

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p:A

q:A

man is rich
Then, the statement, "If a man is not happy, then he is not rich" is written as Consider the following compound statements.
(i) Mumbai is the capital of Rajasthan or Maharashtra.
(ii)

\sqrt{3}

is a rational or an irrational number.
(iii) 125 is a multiple of 7 or 8 .
(iv) A rectangle is a quadrilateral or a regular hexagon.
Which of the above statements is not true? Let

p

q

be two Statements. Amongst the following, the Statement that is equivalent to

p \rightarrow q

{F_1}(A,\,B,\,C) = \left( {A \wedge \sim B} \right) \vee \left[ { \sim C \wedge \left( {A \vee B} \right)} \right] \vee \sim A

{F_2}(A,\,B) = \left( {A \vee B} \right) \vee (B \to \, \sim \,A)

be two logical expressions. Then, The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is : Suppose

p

: A natural number

n

q:

n

is not divisible by 2 , then the biconditional statement

p \Leftrightarrow q