MAT Exam 2021 Paper

Concept:Find total study hours in a week and divide by total hours in the week.Explanation:On weekdays, study time is from $11:00$ a.m. to $8:00$ p.m., which is $9$ hours per day.Number of weekdays = $5$.So, weekday study hours $= 5 \times 9 = 45$ hours.On Saturday, he studies one-third of the weekday time:Saturday study hours $= \frac{1}{3} \times 9 = 3$ hours.Total study hours in the week $= 45 + 3 = 48$ hours.Total hours in a week $= 24 \times 7 = 168$ hours.Required fraction $= \frac{48}{168} = \frac{2}{7}$.Answer:$\frac{2}{7}$ (Option C).