CAT 2020 Inequalities Question (Medium)

Question

The number of pairs of integers x,y satisfying x y -20 and 2x 5y 99 is

Accepted Answer

Step 1 We are given We want integer solutions to the equation under this constraint. Step 2 Solve for in terms of For to be integer, must be even must be odd must be odd Try odd integer values of from upward where Try values of such that computed is an integer and We test values of odd from upward T

CAT 2020

Quantitative

Inequalities

Medium

The number of pairs of integers(x,y) satisfying x ≥ y ≥ -20 and 2x + 5y = 99 is

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