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LIC AAO Prelims PYP >> Feb 17, 2023 Shift 2 >> Quantitative Aptitude

Question :

The circumference of a circular garden is 2/3 times the perimeter of a rectangular ground and the area of the circular garden is 3850 m2. If the 5 m wide path is running around the rectangular ground and the breadth of the rectangular ground is 80 m, then what is the area of the path around the rectangular ground?

1. 1950 m2

2. 1850 m2

3. 1650 m2

4. 1750 m2

5. None of these

Correct Answer : 4
Solution :

Area of a circle= πr2

=> 22/7 * r2 = 3850

=> r2 = 3850 * 7/22

=> r2 = 1225

=> r = 35 m

Circumference of the circle = 2*22/7 * 35= 220 m

Perimeter of the rectangle = 3*220/2 = 330 m

330 = 2(l + 80)

165 = l + 80

l = 165 - 80

l = 85

Area of the path = (85 + 10) * (80 + 10) - 85 * 80 = 8550 - 6800 = 1750 m2

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