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Q1. What is the value of a 2-digit number if the digits are reversed?
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Q2. If the length of a rectangle is increased by 20% and the width is decreased by 10%, what is the net percentage change in its area?
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Q3. If det(A) = 5, what is det(A⁻¹)?
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Q4. If the prime factorization of a number N is 2^a * 3^b * 5^c, and N has 24 divisors, which of the following could be the values of a, b, and c?
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Q5. If an article is sold at a profit of 25% after giving a discount of 10% on the marked price, the marked price is what percentage of the cost price?
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Q6. The product of two odd numbers is always:
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Q7. What percentage is 30 of 150?
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Q8. The shape of a virus particle can be diverse, but many are spherical. What geometric shape is this?
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Q9. The ratio of the cost price and selling price of an article is 10:11. The percentage of profit is:
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Q10. A can do a work in 10 days, B in 12 days, and C in 15 days. They start work together. A works for 3 days and leaves. B works for the next 4 days and leaves. C completes the remaining work. If the total remuneration for the work is ₹ 4800, what is the difference between the earnings of A and C?
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Q11. What is 5% of 1 hour?
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Q12. In sociology, the concept of social distance can be metaphorically linked to geometric...
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Q13. If Ram's income is 30% more than Shyam's income, then Shyam's income is what percentage less than Ram's income?
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Q14. The present age of A is twice the present age of B. If 4 years ago, A's age was 3 times B's age, what is the present age of A?
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Q15. The use of perspective in Renaissance art, particularly in depicting architectural spaces, is a direct application of geometrical principles that allow for the representation of:
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Q16. From the data in the previous question, which department saw the highest percentage increase in employee count from 2020 to 2021?
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Q17. A shopkeeper sells an article at a profit of 20%. If he had bought it at 20% less and sold it for Rs. 10 less, he would have gained 10%. What is the cost price of the article?
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Q18. The number of male and female candidates appearing for an examination from five different states (A, B, C, D, E) are given in a table. The total number of candidates from state A is 600, and the ratio of males to females is 3:2. The number of females from state B is 400, and the ratio of males to females is 2:1. The number of males from state C is 500, and the ratio of males to females is 5:3. The total number of candidates from state D is 800, and the ratio of males to females is 7:3. The number of females from state E is 700, and the ratio of males to females is 4:3. If the pass percentage for males from state A is 80% and for females from state A is 70%, what is the percentage of passed candidates from state A?
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Q19. What is the value of sin(2A) = 2sin(A)cos(A)?
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Q20. What geometric concept is used to divide a space into equal portions?