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Q1. The marked price of a shirt is Rs. 1200. A dealer allows a discount of 15% and makes a profit of 20%. What is the cost price of the shirt?
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Q2. Which geometric figure forms the basis for the classic 'barrel vault' architectural element?
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Q3. The cost price of 12 articles is equal to the selling price of 9 articles. What is the profit percentage?
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Q4. What is the average of the first 5 natural numbers?
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Q5. Find the distance of the point (2, 3, -1) from the plane 2x - 3y + 4z + 5 = 0.
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Q6. A shopkeeper sells a table for Rs. 5000 after giving a discount of 10% on the marked price. If the cost price of the table is Rs. 4000, what is the profit percentage?
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Q7. The hexadecimal number 9F is equivalent to which octal number?
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Q8. A table shows the number of students who passed and failed in five subjects (Physics, Chemistry, Biology, Mathematics, English) in a school. Passed: Physics-300, Chemistry-280, Biology-320, Mathematics-250, English-350. Failed: Physics-50, Chemistry-40, Biology-30, Mathematics-70, English-20. What is the total number of students who appeared for the examination across all subjects?
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Q9. If det(A) = -10 and A is a 3x3 matrix, what is det(-A)?
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Q10. If a number is 25% of another number, then the second number is what percentage of the first number?
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Q11. Find the smallest number which when divided by 15, 20 and 25 leaves a remainder of 3 in each case.
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Q12. What does the term 'distribution' refer to when comparing datasets?
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Q13. If a number N leaves a remainder of 3 when divided by 5 and a remainder of 2 when divided by 7, what is the remainder when N is divided by 35?
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Q14. In a pie chart showing the cost of producing a product, if 'Labor' costs 30%, what is the angle for 'Labor'?
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Q15. Hexadecimal 7B is equal to decimal:
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Q16. A data packet of 10 KB is sent over a network with a latency of 50 ms per hop. The packet needs to traverse 10 hops. If the sender uses a stop-and-wait protocol, what is the approximate total transmission time, considering only latency and packet size?
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Q17. Subtract 10₁₀ from 52₁₀ in base 10.
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Q18. Who is credited with the discovery of the laws of planetary motion?
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Q19. What is 1/10 expressed as a percentage?
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Q20. Subtract 17₈ from 34₈ in base 8.