JEE Main Questions
Is the following sentence statement or proposition? Justify your answer: May God bless you!
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
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∈Zare such that x and y are odd, then xy is odd.
Write the negation of the following compound statement: All rational numbers are real and all real numbers are complex.