## How to solve a hard number system question for CAT confidently and quickly 7

Cube of a number exceeds its product with two other numbers by 2, the cube of the second number is less than their product by 3 and the cube of the third exceeds their product by 3. Find the lowest of the three numbers.

Solve this 7th hard number system question for CAT quickly by mathematical reasoning based on indices concepts and inequality analysis.