Quantitative Aptitude-Area

Quantitative Aptitude-Area
11. The ratio of the area of a square to that of the square drawn on its diagonal is :
  • 1 : 1
  • 1 : 2
  • 1 : 3
  • 1 : 4
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12. If the ratio of the areas of two squares is 9 : 1, the ratio of their perimeters is :
  • 9 : 1
  • 3 : 1
  • 1 : 3
  • 3 : 4
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13. If the perimeter of a rectangle and a square, each is equal to 80 cm and the difference of their areas is 100 sq. cm, the sides of the rectangle are :
  • 35 cm 15 cm
  • 30 cm 10 cm
  • 28 cm, 12 m
  • 25 cm, 15 cm
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14. The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. The length of the rectangle is :
  • 20 cm
  • 30 cm
  • 40 cm
  • 50 cm
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15. The cost of cultivating a square field at the rate of Rs. 135 per hectare is Rs. 1215. The cost of putting a fence around it at the rate of 75 paise per metre would be :
  • Rs. 360
  • Rs. 810
  • Rs. 900
  • Rs. 1800
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16. The cost of carpeting a room 18 m long with a carpet 75 cm wide at 45 paise per metre is Rs. 81. the breadth of the room is :
  • 7 m
  • 7.5 m
  • 8 m
  • 8.5 m
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17. A rectangular lawn 55 m by 35m has two roads each 4 m wide runnig in the middle of it, one parallel to length and the other parallel to breadth. The cost of gravelling the roads at 75 paise per sq. metre is :
  • Rs. 270
  • Rs. 262.50
  • Rs. 258
  • Rs. 254.50
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18. The ratio between the length and breadth of a rectangular field is 5 : 4. If the breadth is 20 m less than the length. The perimeter of the field is :
  • 260 m
  • 280 m
  • 360 m
  • None
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19. The length of a plot is four times its breadth. A play ground measuring 1200 sq.m. occupies one-third of the total area of the plot. What is the length of the plot ?
  • 20 m
  • 30 m
  • 60 m
  • None
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20. If the side of a square is increased by 5cm, the area increases by 165 sq.cm. The side of the square is :
  • 13 cm
  • 14 cm
  • 15 cm
  • 12 cm
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