CAT 2025 Permutations and Combinations Question (Hard)

Question

The number of distinct pairs of integers x, y satisfying the inequalities x y geq 3 and x y 14 is

Accepted Answer

It is given, x y geq3 and x y 14 Now for y 3, the values of x can be 4,5,6,7,8,9,10 7 cases Then for y 4, the values of x can be 5,6,7,8,9 5 cases Then for y 5, the values of x can be 6,7,8 3 cases Then for y 6, the values of x will be 7 1 case So, total number of cases 1 3 5 7 16 cases

CAT 2025

Quantitative

Permutations and Combinations

Hard

The number of distinct pairs of integers ((x, y)) satisfying the inequalities (x>y \geq 3) and (x+y<14) is

Master Your PI Skills for Top B-Schools!

Resources

Features

Support