IIMB 2001 (QA) PYQs

Find the maximum value of $x$ for which $\frac{x+2}{x}\geq x$

A pair of consecutive odd positive integers, both of which are smaller than 19, have a sum that is more than 22. How many such pairs will be there, if we allow a number to be in more than one pair?

If $x$ satisfies the inequality $|x-1|+|x-2|+|x-3|\geq6$ then