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Q1. The relationship between different keys in music, often visualized on a circle of fifths, suggests a:
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Q2. A sum of money amounts to Rs. 5,000 in 2 years and Rs. 6,500 in 3 years at simple interest. Find the rate of interest.
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Q3. A businessman buys a product for ₹800 and sells it for ₹960. What is the profit percentage?
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Q4. A clock is showing 4:30. What is the angle between the hour hand and the minute hand?
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Q5. A sum of money lent out at simple interest amounts to Rs. 720 in 2 years and to Rs. 1020 in a further period of 5 years. The sum is:
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Q6. The ratio of the circumference of two circles is 1:2. The ratio of their areas is:
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Q7. A person walks 50% of a journey, then travels 25% of the remaining distance by bicycle, and the rest by bus. If the bus journey is 45 km, what is the total distance of the journey?
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Q8. What is 175% as a mixed fraction?
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Q9. If h(x) = 4x - 3, what is the solution to h(x) <= 9?
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Q10. A shopkeeper allows a discount of 10% on the marked price and still gains 20%. If the marked price is Rs. 1100, what is the cost price?
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Q11. The sum of the present ages of a father and his son is 60 years. 10 years ago, the father's age was 11 times the son's age. What is the present age of the father?
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Q12. A thief is caught by a policeman at a distance of 200 meters. The thief starts running at 10 km/hr and the policeman starts chasing him at 12 km/hr. How far will the thief have run when he is caught?
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Q13. A dataset contains employee salaries. If an entry for an employee's salary is missing, this is an example of which data integrity issue?
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Q14. Which of the following numbers is divisible by 40?
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Q15. If 80% of a number is 200, what is 45% of that number?
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Q16. The given table shows the percentage distribution of marks obtained by five students (A, B, C, D, E) in six different subjects (Math, Physics, Chemistry, Biology, English, History). If the total marks obtained by student C in English and History combined is 90, and the maximum marks for each subject is 100, what is the percentage of marks student E obtained in Physics?
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Q17. When a commodity is sold at a profit of 10%, the profit is Rs. 200. If the selling price is increased by 10%, what is the new profit percentage?
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Q18. Two trains start simultaneously from two points A and B, towards each other. The first train travels at 60 km/hr and the second train travels at 80 km/hr. After they cross each other, the first train takes 4 hours to reach B and the second train takes 2.25 hours to reach A. What is the distance between A and B?
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Q19. Which ancient Greek mathematician is famous for the Pythagorean theorem?
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Q20. If A = 2i + 2j and B = 3i - 3j, what is A . B?
