Case Study and Application
Real-life data interpretation and modelling problems requiring multi-step reasoning.
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Take a full mock →Q1 · Case Study and Application · EASY
A mobile phone company offers two prepaid plans: Plan A: Monthly rental of Rs 200 with call charges of Rs 0.50 per minute. Plan B: No monthly rental but call charges of Rs 1.00 per minute. Rahul wants to choose the plan that is more economical for him. If he uses 180 minutes of calls in a month, how much money would he save by choosing the cheaper plan?
Q2 · Case Study and Application · MEDIUM
A school is organizing a trip for 480 students. The transportation company offers two types of buses: Type X: Capacity 40 students, rental cost Rs 3000 per bus Type Y: Capacity 60 students, rental cost Rs 4200 per bus The school decides to use a combination of both types such that all students can travel and the total cost is minimized. If the school uses 4 buses of Type X, how many buses of Type Y are needed, and what is the total cost?
Q3 · Case Study and Application · HARD
A water tank has two inlet pipes A and B, and one outlet pipe C. Pipe A can fill the empty tank in 6 hours, pipe B can fill it in 9 hours, and pipe C can empty the full tank in 12 hours. The tank is initially empty. If all three pipes are opened simultaneously for 3 hours and then pipe C is closed while A and B continue to fill, how much total time (from the start) will it take to fill the tank completely?
Q4 · Case Study and Application · MEDIUM
A shopkeeper sells three types of fruits: apples, oranges, and bananas. The table shows the quantity sold and revenue earned on a particular day: Apples: 50 kg sold, Revenue Rs 4000 Oranges: 40 kg sold, Revenue Rs 2400 Bananas: 60 kg sold, Revenue Rs 1800 The shopkeeper wants to achieve a total revenue of Rs 10000 the next day by selling the same fruits. If he plans to sell apples and oranges in the same ratio as before (5:4 by weight) and wants to sell 20 kg more bananas than the previous day, what should be the total weight of apples he must sell?
Q5 · Case Study and Application · MEDIUM
A water tank has two inlet pipes A and B. Pipe A can fill the tank in 8 hours and pipe B in 12 hours. There is an outlet pipe C that can empty the full tank in 6 hours. If all three pipes are opened simultaneously when the tank is empty, how long will it take to fill the tank completely?