The contrapositive of the statement "if $I$ am not feeling well,then $I$ will go to the doctor" is
- AIf $I$ am feeling well,then $I$ will not go to the doctor
- BIf $I$ will go to the doctor,then $I$ am feeling well
- CIf $I$ will not go to the doctor,then $I$ am feeling well
- DIf $I$ will go to the doctor,then $I$ am not feeling well
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If $p:$ Seema is fat. $q:$ She is happy,then the logical equivalent statement of 'If Seema is fat,then she is happy' is
Show that the following statement is true by the method of contrapositive.
$p:$ If $x$ is an integer and $x^{2}$ is even,then $x$ is also even.
$p:$ If $x$ is an integer and $x^{2}$ is even,then $x$ is also even.
Medium
View SolutionConsider the following statements:
$p$: the switch $S_1$ is closed.
$q$: the switch $S_2$ is closed.
$r$: the switch $S_3$ is closed.
Then the switching circuit represented by the statement $(p \wedge q) \vee (\sim p \wedge (\sim q \vee p \vee r))$ is
$p$: the switch $S_1$ is closed.
$q$: the switch $S_2$ is closed.
$r$: the switch $S_3$ is closed.
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Both the diagonals of a rectangle have the same length.
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View SolutionThe contrapositive of the statement "If you are born in India,then you are a citizen of India" is:
DifficultJEE MAIN 2019
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