Class 11

Math

JEE Main Questions

Mathematical Reasoning

Find the component of the following compound statement and check whether they are true or not: $2 $ is a rational number or an irrational number.

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Find out whether the following sentences is a statement or not. Justify your answer: the real number $x$ is less than 2.

State whether the " Or" used in the following statements is "exclusive "or" inclusive Give reasons for your answer(i) Sun rises or Moon sets(ii) To apply for a driving licence you should have a ration card or a passport(iii) All integers are positive or negative

Is the following sentence statement or proposition? Justify your answer: The moon is made of green cheese.

The statement $pqp $is equivalent to

Identify the quantifier in each of the following statements: (i)For every real number $x,x+4$ is greater then $x˙$ (ii)There exists a real number which is twice of itself. (iii)There exists a (living) person who is 200 years old. (iv)For every $x∈N,x+1>x˙$

Write the negation of the following statements and check whether the resulting statements are true: Australia is a continent.

Find out whether the following sentence is a statement or not. Justify your answer: Go!

Find the component statements of the following compound statement: The sky is blue and the grass is green.