JEE Main Questions
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 pqpis 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.