Class 11

Math

JEE Main Questions

Mathematical Reasoning

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.