The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ?
We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cm Given perimeter of square is twice the perimeter of rectangle = 2(30) = 60cm Therefore, side of the square is = 1/4 x 60 = 15cm Circumference of the required semicircle = = = 23.57 + 15 = 38.57cm.
A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement ?
5/9 of the part of the population in a village are females. If 30 % of the females are married. The percentage of unmarried males in the total males is ?
Let total population = p number of females = 5p/9 number of males =(p-5p/9) = 4p/9 married females = 30% of 5p/9 = 30x5p/100x9 = p/6 married males = p/6 unmarried males =(4p/9-p/6) = 5p/18 Percentage of unmarried males in the total males = {(5p/18)/4p/9}x100 = (5p/18)x(9/4p) = 125/2 % = 62.5%
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