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 Q23 Inequalities & Modulus

Question 23 of the Quantitative Ability (QA) section, CAT 2018 Slot 2, with CAT's official answer.

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)

TITA: type in the answer. There are no options and no negative marking.

Answer: 36 Inequalities & Modulus TITA

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