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ACADIFY · EVERYDAY MATH CHALLENGE

Mathematics
Beyond the Textbook.

Can you solve the mathematical problems hidden in everyday life? Think carefully, connect the clues, and choose the best answer.

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OBSERVE · REASON · SOLVE

Think before you calculate.

Each question describes a real-life situation. Some require more than one calculation, so read carefully before selecting your answer.

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🧮 10 Questions ⏱️ About 15–20 Minutes 🧠 Logical Reasoning

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1. A family is booking movie tickets. Each adult ticket costs ₹180 and each child ticket costs ₹120. They buy 4 adult tickets and 3 child tickets. The cinema offers a flat ₹100 discount on the total bill. If the family pays using a ₹1,000 note, how much change should they receive?
2. A student leaves home at 8:00 AM to reach college by 9:00 AM. The college is 18 km away. For the first 12 km, the student travels at an average speed of 24 km/h. Traffic then reduces the speed for the remaining distance to 12 km/h. Ignoring stops, when will the student arrive?
3. A shop advertises a jacket for ₹2,000 with a 20% discount. At checkout, the shop applies an additional 10% discount to the already discounted price. Another shop sells the same jacket for a flat ₹1,450. Which option is cheaper, and by how much?
4. A rectangular garden is 20 m long and 14 m wide. A path of uniform width 1 m runs inside the garden along all four edges. The remaining central area is used to grow vegetables. What is the area available for growing vegetables?
5. Three friends split a restaurant bill equally. The total bill is ₹1,260, including a delivery charge of ₹60 that is shared equally. One friend has only ₹350. After paying ₹350, how much more does that friend need to contribute to pay their equal share?
6. A water tank is initially one-quarter full. After adding 30 litres, it becomes half full. The family then uses 18 litres of water. How much water must be added now to fill the tank completely?
7. A family compares two cab services for a 12 km journey. Cab A charges ₹50 as a fixed booking fee plus ₹12 per kilometre. Cab B charges no booking fee but ₹16 per kilometre. Which statement is correct?
8. A student scores 68, 74 and 81 marks in three tests. The student wants an average of at least 75 marks across four tests. What is the minimum score needed in the fourth test?
9. A phone battery is at 80%. During the next hour, it loses 25% of its current charge. The following hour, it loses 25% of the charge remaining at that time. What percentage of the original full battery capacity remains after these two hours?
10. A shopkeeper mixes 6 kg of rice costing ₹40 per kg with 4 kg costing ₹55 per kg. The entire mixture is sold at ₹50 per kg. What is the shopkeeper's total profit on selling the mixture?

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