JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Medium

1 of 1

Understanding +4 | -1

The negation of the following statement :

P

: Neha lives in Ludhiana or she lives in Gurudaspur.

View answer and explanation

Correct option: B

Neha does not live in Ludhiana and she does not live in Gurudaspur

Option B (Neha does not live in Ludhiana and she does not live in Gurudaspur) is correct because it represents the negation of the disjunction (OR) statement.

More Questions from MATHEMATICAL REASONING

Practice All Chapter MCQs →

p:A

man is happy

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

and

q

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

p \rightarrow q

is Let

{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

and

{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

is odd and

q:

Natural number

n

is not divisible by 2 , then the biconditional statement

p \Leftrightarrow q