Class 11

Math

JEE Main Questions

Mathematical Reasoning

Write the negation of the following statement: New Delhi is a city.

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Write the negation of the following statement: Everyone in Germany speaks German.

By giving a counter example, show that the following statements are not true.(i) p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle.(ii) q: The equation $x_{2}−1=0$ does not have a root lying between 0

Write the negation of the following statements:(i) p : For every positive real number x, the number $x−1$is also positive.(ii) q : All cats scratch.(iii) r : For every real number x, either $x>1$or $x<1$.(iv) s : There exist

By giving a counter example, show that the following statement is false. If n is an odd integer, then n is prime.

Write the negation of the following statement: All primes are odd.

Cheek whether Or used in the following compound statement is exclusive or inclusive? Write the component statements of the compound statements and use them to check whether the compound statement is true or not. Justify your answer. t: you are wet when it rains or you are in a river.

Determine whether the following compound statements are true or false: (i)Delhi is in India and 2+2=4 (ii)Delhi is in India and 2+2=5

For each of the following compound statements first identify the connecting words and then break it into component statements.(i) All rational numbers are real and all real numbers are not complex.(ii) Square of an integer is positive or negati