The negation of the statement "If $I$ will go to college,then $I$ will be an engineer" is -
- A$I$ will not go to college and $I$ will be an engineer.
- B$I$ will go to college and $I$ will not be an engineer.
- CEither $I$ will not go to college or $I$ will not be an engineer.
- DNeither $I$ will go to college nor $I$ will be an engineer.
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The statement $(p \wedge (p$ $\rightarrow q) \wedge (q$ $\rightarrow r))$ $\rightarrow r$ is :
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Write the contrapositive of the following statement:
If a number is divisible by $9,$ then it is divisible by $3.$
If a number is divisible by $9,$ then it is divisible by $3.$
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View SolutionWhich of the following is the negation of the statement "For all $M > 0$,there exists $x \in S$ such that $x \geqslant M$"?
Identify the quantifier in the following statement and write the negation of the statement.
There exists a number which is equal to its square.
There exists a number which is equal to its square.
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