JEE Main Questions
Write the negation of the following compound statement: The sand heats
up quickly in the sun and does not cool down fast at night.
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Check whether the following pair of statements is negation of each other. Give reasons for the answer(i) x+y=y+x is true for every real numbers x and y(ii) There exists real number x and y for which x+y=y+x
Consider the following sentence: Two plus three is five. Is it a statement?
Find out whether the following sentences is a statement or
not. Justify your answer: the real number x
is less than 2.
Find the component statement of the following and check whether they
are true or not: 24 is a multiple of 2,4, and 8.
Identify the quantifier in the following statements and write the negation of the statements.(i) There exists a number which is equal to its square.(ii) For every real number x, x is less than x+1.(iii) There exists a capital for every state in india.
Is the following sentences statement or proposition?
Justify your answer: Who are you?
Consider the following sentence: Please do me a favor. Is it a statement?
Write the negation of the following statements:
(i)For all positive integer x,
we have x+2>8.
(ii)Every living person in not 150 years old.