CAT Previous Year Questions| Inequalities & Modulus

For all possible integers n satisfying 2.25 ≤ 2 + 2ⁿ + 2 ≤ 202, the number of integer values of 3 + 3ⁿ + 1 is

The number of integers n that satisfy the inequalities |n − 60| < |n − 100| < |n − 20| is

If x and y are non-negative integers such that x + 9 = z, y + 1 = z and x + y < z + 5, then the maximum possible value of 2x + y equals

If a and b are integers such that 2x² − ax + 2 ＞ 0 and x² − bx + 8 ≥ 0 for all real numbers x, then the largest possible value of 2a − 6b is

For how many integers n, will the inequality (n – 5) (n – 10) – 3(n – 2) ≤ 0 be satisfied