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JEE MATHEMATICS MCQ: MATHEMATICAL REASONING
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The negation of the proposition is
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Correct option: B
Option B () is correct because it applies De Morgan's Law to negate the disjunction and then simplifies.
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If man is happy
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) 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 and be two Statements. Amongst the following, the Statement that is equivalent to is Let and 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 : A natural number is odd and Natural number is not divisible by 2 , then the biconditional statement is
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) 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 and be two Statements. Amongst the following, the Statement that is equivalent to is Let and 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 : A natural number is odd and Natural number is not divisible by 2 , then the biconditional statement is