41. If $$\frac{{547.527}}{{0.0082}}{\text{ = }}x{\text{,}}$$ then the value of $$\frac{{547527}}{{82}}$$ is = ?
42. The number of pairs of natural numbers the difference of whose squares is 45 will be ?
43. If $$\root 3 \of {{3^n}} {\text{ = 27,}}$$ then the value of n is = ?
44. The lowest temperature in the night in a city is one third more than $$\frac{1}{2}$$ the highest during the day. Sum of the lowest temperature and the highest temperature is 100 degrees. Then what is the lowest temperature?
45. A millionaire bought a lot of hats $$\frac{1}{4}$$ of which were brown. The millionaire sold $$\frac{2}{3}$$ of the including $$\frac{4}{5}$$ of the brown hats. What fraction of the unsold hats were brown ?
46. A body of 7300 troops is formed of 4 battalions so that $$\frac{1}{2}$$ of the first, $$\frac{2}{3}$$ of the second, $$\frac{3}{4}$$ of the third and $$\frac{4}{5}$$ of the fourth are all composed of the same number of men. How many men are there in the second battalion?
47. $${\text{If }}\left[ {4 - \frac{5}{{1 + \frac{1}{{3 + \frac{1}{{2 + \frac{1}{4}}}}}}}} \right]$$
part of a journey takes ten minutes, then to complete $$\frac{3}{5}$$th of that journey, it will take = ?
48. $$\sqrt {\frac{{4\frac{1}{7} - 2\frac{1}{4}}}{{3\frac{1}{2} + 1\frac{1}{7}}} \div \frac{1}{{2 + \frac{1}{{2 + \frac{1}{{5 - \frac{1}{5}}}}}}}} $$ is equal to = ?
49. The cost of 5 pendants and 8 chains is Rs. 145785. What would be the cost of 15 pendants and 24 chains ?
50. The simplification of $$\left( {\frac{{75983 \times 75983 - 45983 \times 45983}}{{30000}}} \right)$$ yields the result = ?
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