List of top Quantitative Aptitude Questions on Linear Inequalities

If \(c=\frac{16x}{y}+\frac{49y}{x} \)for some non-zero real numbers x and y,then c cannot take the value
The largest real value of a for which the equation\( |x+a|+|x−1|=2\) has an infinite number of solutions for x is
The number of distinct pairs of integers (m, n) satisfying |1+mn| < |m+n| < 5 is
The number of distinct pairs of integers (m, n) satisfying \(|1+mn| < |m+n| < 5\) is

For all real numbers $ x $, the condition $ |3x - 20| + |3x - 40| = 20 $ necessarily holds if

If \(x_0 = 1, x_1 = 2, and \space x_{n + 2} =\frac{ 1+x_{n+1}}{x_n}, n = 0, 1, 2, 3,...,\) then \(x_{2021}\) is equal to?
If r is a constant such that \(|x^2-4x-13| = r\) has exactly three distinct real roots, then the value of r is
The number of integers \( n \) that satisfy the inequalities \( |n - 60| < |n - 100| < |n - 20| \) is