Class 11

Math

JEE Main Questions

Mathematical Reasoning

Is the following sentence statement or proposition? Justify your answer: May God bless you!

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Find the component statements of the following compound statements and check whether they are true or false(i) Number $3$ is prime or it is odd(ii) All integers are positive or negative(iii)$100$ is divisible by $3,11$ and $5$

Consider the following sentence: Every rectangle is a square. Is it a statement?

Write the component statements of the following compound statements and check whether the compound statement is true or false: $2 $ is rational number or an irrational number. The school is closed, if there is a holiday or Sunday. A rectangle is a quadrilateral or a 5-sided polygon.

Check whether the following sentence is a statement. Give reasons for your answer: Every set is a finite set.

Check whether the following statement is true or not. If x, $y∈Z$are such that x and y are odd, then xy is odd.

Is the following is a statement (or proposition)? $x+2=9.$

Write the negation of the following compound statement: All rational numbers are real and all real numbers are complex.

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