Area Questions and Answers
Quantitative Aptitude - Area Questions with Answers focus on geometry problems to calculate surfaces and spaces. Area Aptitude is crucial for SSC, banking, and placement exams to improve speed and accuracy in solving questions.
Area
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80 questions
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
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
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
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
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
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
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
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
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
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