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Q1. What is the sum of all integers from -5 to 5, inclusive?
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Q2. Find the number of digits in $20^{50}$.
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Q3. Find the sum of the series 1/2 + 1/4 + 1/8 + ... to infinity.
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Q4. Which of the following is NOT a composite number?
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Q5. Which of the following is an example of a simple cubic structure?
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Q6. What is the primary advantage of EMI for borrowers?
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Q7. Which of the following is NOT a proper divisor of 284?
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Q8. If the sum of n terms of an AP is $3n^2 + 2n$, find the 15th term.
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Q9. Which geometric figure has two parallel bases and sides that are trapezoids?
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Q10. A clock gains 5 seconds every 3 hours. In how many days will it gain 1 minute?
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Q11. A, B, and C can do a piece of work in 6, 8, and 12 days respectively. They start together. A works for 3 days and leaves. B works for 4 days and leaves. C works for the remaining part. What fraction of the work is completed by B?
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Q12. An item is sold for ₹4050 after two successive discounts of 10% and 10%. What was the original marked price?
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Q13. In a combined graph, a bar shows the production and a line shows the sales percentage. If 1000 units were produced and sales were 80% of production, how many units were sold?
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Q14. The bar graph shows the profit (in lakhs) of a company for five consecutive years. If the revenue in Year 3 was ₹600 lakhs and the profit in Year 4 was 15% more than the profit in Year 3, what is the approximate revenue in Year 4, given that profit is 40% of revenue?
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Q15. A sum of money doubles itself in 4 years at compound interest. In how many years will it become 16 times itself?
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Q16. Find the number of digits in 7^12.
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Q17. A pie chart represents the distribution of students in five different colleges. If the total number of students is 8000 and College C has 20% of the students, how many students are there in College C?
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Q18. A line segment PQ has endpoints P(-3, 4) and Q(5, -2). If point R divides PQ internally in the ratio 3:1, what are the coordinates of R?
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Q19. A line segment has how many endpoints?
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Q20. A shopkeeper sells an article for Rs. 240 and makes a profit of 20%. What is the cost price of the article?