Equations Algebra CAT 2025 Slot 2 Actual Questions

If 9^{x² + 2x – 3} − 4(3^{x² + 2x − 2}) + 27 = 0, then the product of all possible values of x is _____

If m and n are integers such that (m + 2n)(2m + n) = 27, then the maximum possible value of 2m − 3n is ___

The set of all real values of x for which (x² − |x + 9| + x) > 0, is

If a, b, c and d are integers such that their sum is 46, then the minimum possible value of (a − b)² + (a − c)² + (a − d)² is ______