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A man riding on a bicycle cover a distance of 60km in a direction of wind and come back to his original position in 8 hours. If the speed of the wind is 10 km/hr. Find the speed of the bicycle.

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Around a square pool there is a footpath of width 2km. If the area of the footpath is (5/4) times that of the pool. Find the area of pool.

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From the same place at 7cm 'A' started walking in the north at the speed of 5km/hr. After 1 hour B started cycling in the east at a speed of 16km/hr. At what time they will be at distance of 52km apart from each other.

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The divisor and quotient of the number 6123 are same and the remainder is half the divisor. Find the divisor.

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Two years ago my age was 4(1/2) times the age of my son. Six years ago, my age was twice the square of the age of my son. What is the present age of son.

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One diagonal of a rhombus is greater than other by 4cm. If the area of the rhombus is 96cm², find the side of the rhombus.

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The sum of the areas of two squares is 400sq.m. If the difference between their perimeters is 16m, find the sides of the square.

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Exterior angle of a regular polygon having n-sides is more than that of the polygon having n² sides by 50°. Find the number of the sides of each polygon.

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The sides of one regular hexagon is larger than that of the other regular hexagon by 1cm. If the product of their areas is 243, then find the sides of both the regular hexagon.

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The product of four consecutive positive integers is 840. Find the largest number.

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