JEE Main Questions
Is the following sentences statement or proposition? Justify your answer: Who are you?
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.
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
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.
Find the component statements of the following compound statements and check whether they are true or false.(i) Number 3 is prime or it is odd.(ii) All integers are positive or negative.(iii) 100 is divisible by 3, 11 and 5.
Write the negation of the following compound statement: The sand heats up quickly in the sun and does not cool down fast at night.
Check the validity of the statements given below by the method given against it.(i) p: The sum of an irrational number and a rational number is irrational (by contradiction method).(ii) q: If n is a real number with n>3, then n2>9