List of top Quantitative Ability Questions on inequalities asked in XAT

If \(x + y + z = 1\) and \(x, y, z\) are positive real numbers, then the least value of \(\left(\dfrac{1}{x}-1\right)\left(\dfrac{1}{y}-1\right)\left(\dfrac{1}{z}-1\right)\) is:

If \(x > 8\) and \(y > -4\), then which one of the following is always true?

If \(a\), \(b\) and \(c\) are three real numbers, then which of the following is NOT true?