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Q1. Train A leaves station P at 8:00 AM at a speed of 50 km/hr towards station Q. Train B leaves station Q at 9:00 AM at a speed of 60 km/hr towards station P. The distance between P and Q is 550 km. If Train A has a 45-minute delay at 11:00 AM, at what distance from station P will they meet?
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Q2. Find the next number in the series: 3, 7, 15, 31, 63, ?
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Q3. In an examination, a student scored 20% more marks in Physics than in Chemistry. The student scored 30% less marks in Chemistry than in Biology. If the student scored 100 marks in Physics, how many marks did the student score in Biology?
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Q4. A discount of Rs. 150 is offered on a product marked at Rs. 1000. What is the discount percentage?
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Q5. If n! contains 15 trailing zeros, what is the smallest possible value of n?
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Q6. A person buys a book for Rs. 200 and sells it at a profit of 20%. What is the selling price?
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Q7. A train leaves station P at 8 AM and reaches station Q at 12 PM. Another train leaves station Q at 9 AM and reaches station P at 1 PM. At what time do the trains meet?
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Q8. A train 200 meters long crosses a bridge in 18 seconds. If the speed of the train is 60 km/hr, what is the length of the bridge?
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Q9. A player has a 95% chance to dodge an attack. What is the percentage chance they will be hit?
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Q10. A trader buys 100 kg of sugar at ₹20 per kg. He marks the price at 25% above the cost price. He sells 80 kg of sugar at the marked price and the remaining 20 kg at a discount of 10% on the marked price. What is the total profit percentage?
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Q11. Three runners A, B, and C run on a circular track of 500 meters. Their speeds are 5 m/s, 7 m/s, and 9 m/s. If they start from the same point and run in the same direction, when will they meet at the starting point for the first time?
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Q12. A train passes a platform in 10 seconds and a man standing on the platform in 4 seconds. If the length of the platform is 60 meters, what is the length of the train?
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Q13. What is the 15th even number in the sequence of positive even numbers?
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Q14. The Fundamental Theorem of Arithmetic is a property of:
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Q15. A man sells an article for Rs. 840 at a profit of 20%. What is the cost price of the article?
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Q16. A shopkeeper sells an item for ₹400 at a loss of 20%. What is the cost price?
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Q17. Which of the following is the first Fibonacci number greater than 100?
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Q18. A shopkeeper sells a watch for ₹4080 after giving a discount of 15%. If he had given a discount of 10%, he would have earned a profit of 25%. What is the cost price of the watch?
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Q19. Two runners A and B are on a circular track of 1600 meters. They start from the same point and run in the same direction at speeds of 20 m/s and 16 m/s. When will they meet for the first time after the start?
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Q20. A railway network's punctuality rate was 85%. A new scheduling system improved this rate by 10% of the non-punctual trains. What is the new punctuality rate?