Class 11

Math

JEE Main Questions

Mathematical Reasoning

Is the following sentence statement or proposition? Justify your answer: Paris is in England

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Find out whether the following sentence is a statement or not. Justify your answer: The product of (-1) and 8 is 8.

Check the validity of the following statement: $q:$ 125 is a multiple of 5 and 7.

Determine the contrapositive of each of the following statements: (i)Only if he does not tire will he win I(ii)f $x$ is an integer and $x_{2}$ is odd, then $x$ is odd (iii)Only if max studies will he pass the test.

Show that the statement For any real numbers $aandb,a_{2}=b_{2}$ implies that $a=b$ is not true by giving a counter example

Find out that the following sentence is a statement or not. Justify your answer: Listen Me , Ravi!

Consider the following sentence: Do your homework. Is it a statement?

Find out whether the following sentence is a statement or not. Justify your answer: All real numbers are complex numbers.

Write the negation of the following statement: There is a complex number which is not a real number.