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Q1. The sum of the first n terms of an arithmetic progression is 2n^2 + 5n. What is the common difference?
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Q2. A sum of money at compound interest amounts to Rs. 4050 in 2 years and Rs. 4455 in 3 years. The rate of interest is:
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Q3. A train, before speeding up, travels at a certain speed for a certain time. If it had travelled 10 km/hr faster, it would have taken 2 hours less for the same journey. If it had travelled 10 km/hr slower, it would have taken 3 hours more. Find the distance of the journey.
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Q4. If the selling price of an article is double the cost price, then the profit percentage is:
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Q5. A man buys a table and a chair for ₹500. He sells the table at a profit of 10% and the chair at a loss of 5%. If the overall profit is ₹14, what is the cost price of the table?
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Q6. The average of 11 numbers is 10. If one number is added, the average becomes 11. What is the added number?
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Q7. The average score of a student in 5 subjects is 60. If the student scores 80 in the sixth subject, what will be the new average?
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Q8. A can do a work in 10 days, B in 15 days, and C in 18 days. In how many days will they together complete the work?
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Q9. Two vessels A and B contain milk and water in the ratio 5:3 and 7:1 respectively. In what ratio should the contents of vessel A and vessel B be mixed so that the final mixture contains milk and water in the ratio 4:2?
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Q10. If the ratio of milk to water in a mixture is 1:4, and there are 5 liters of mixture, how much milk is there?
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Q11. A fruit seller buys oranges at 10 for ₹20 and sells them at 8 for ₹20. What is his gain percentage?
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Q12. The average marks of a student in 6 subjects are 65. If the marks in one subject are replaced by another subject with marks such that the new average increases by 3, what is the difference in marks between the new subject and the old subject?
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Q13. A sum of money doubles itself in 6 years at compound interest. In how many years will it become 4 times itself?
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Q14. If the harmonic mean of a set of numbers is H, and each number is decreased by 'k', what is the new harmonic mean?
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Q15. If 4 is added to the first term and 3 is added to the second term of a ratio 5:7, the new ratio becomes 2:3. Find the original ratio.
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Q16. A company with 10,000 equity shares of Rs. 100 each issued at par, declared a dividend of 10%. If it announced a bonus issue of 1:5, what is the total dividend payout of the company before and after the bonus issue, assuming the market price remains unchanged?
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Q17. A can do a work in 5 days. B can do it in 10 days. They start working together. After 2 days, B leaves. In how many days will A complete the remaining work?
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Q18. Which fraction is larger: 9/10 or 8/9?
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Q19. If m/n = 7/12, then by Dividendo, m-n / n = ?
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Q20. Solve for y: x + y = 7 and x - y = 1