MAT Exam 2020 Paper

Concept:The total average is the weighted average of passed and failed candidates' averages.Explanation:Let the number of passed candidates be $x$.Then failed candidates $= 120 - x$.Total marks of all candidates $= 120 \times 35 = 4200$.Marks obtained by passed candidates $= 39x$.Marks obtained by failed candidates $= 15(120 - x)$.So, $4200 = 39x + 15(120 - x)$.Simplify: $4200 = 39x + 1800 - 15x$$4200 = 24x + 1800$$4200 - 1800 = 24x$$2400 = 24x$Therefore, $x = 100$.Answer:The number of candidates who passed is $100$, i.e. option C.