GMAT Mixed Quant + Verbal practice questions

A factory uses energy from two sources: solar and wind. The solar energy usage is 2.5 times the wind energy usage. If the total energy usage of the factory is 420 kilowatt-hours $kWh$, what is the solar energy usage and the wind energy usage?

A factory produces widgets on two assembly lines, Line X and Line Y. Line X produces 60 widgets per hour with a 10% defect rate, while Line Y produces 40 widgets per hour with a 20% defect rate. The factory operates both lines simultaneously for an 8-hour shift. Select the minimum number of defective widgets produced during the shift and the maximum number of defective widgets produced during the shift.

A farming cooperative operates in two regions: Region A and Region B. Last year, Region A produced 2,400 tons of wheat, which was 60% of the cooperative's total wheat output. This year, the cooperative increased its total wheat output by 25%, with Region A maintaining the same production level as last year. Select the cooperative's total wheat output last year and its total wheat output this year.

A city's transportation department analyzed commute times for two modes: driving and taking the metro. The average driving commute time is 40 minutes with a standard deviation of 8 minutes. The metro commute time follows a normal distribution with a mean exactly 1.5 standard deviations below the mean driving time, and a standard deviation equal to half that of driving times. Select the average metro commute time in Column 1 and the probability that a randomly selected metro commute exceeds 32 minutes in Column 2. (Use the empirical rule: 68% within 1σ, 95% within 2σ, 99.7% within 3σ of the mean.)

A theater company sells tickets for two different venues: Main Hall and Studio Theater. For a particular show, the Main Hall has 25% more seats than the Studio Theater. The company sold 75% of the Main Hall seats and 60% of the Studio Theater seats, resulting in total revenue of $12,375. If each Main Hall ticket costs $50 and each Studio Theater ticket costs $40, determine: