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

CAT 2018 Slot 2 QA · Question 23

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 (TITA)

Type-in answer (TITA): no options, no negative marking.