Area Questions and Answers

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Q11
The ratio of the area of a square to that of the square drawn on its diagonal is :
  • A 1 : 1
  • B 1 : 2
  • C 1 : 3
  • D 1 : 4
Answer: Option B
Q12
If the ratio of the areas of two squares is 9 : 1, the ratio of their perimeters is :
  • A 9 : 1
  • B 3 : 1
  • C 1 : 3
  • D 3 : 4
Answer: Option B
Q13
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 :
  • A 35 cm 15 cm
  • B 30 cm 10 cm
  • C 28 cm, 12 m
  • D 25 cm, 15 cm
Answer: Option B
Q14
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 :
  • A 20 cm
  • B 30 cm
  • C 40 cm
  • D 50 cm
Answer: Option C
Q15
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 :
  • A Rs. 360
  • B Rs. 810
  • C Rs. 900
  • D Rs. 1800
Answer: Option C
Q16
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 :
  • A 7 m
  • B 7.5 m
  • C 8 m
  • D 8.5 m
Answer: Option B
Q17
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 :
  • A Rs. 270
  • B Rs. 262.50
  • C Rs. 258
  • D Rs. 254.50
Answer: Option C
Q18
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 :
  • A 260 m
  • B 280 m
  • C 360 m
  • D None
Answer: Option A
Q19
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 ?
  • A 20 m
  • B 30 m
  • C 60 m
  • D None
Answer: Option D
Q20
If the side of a square is increased by 5cm, the area increases by 165 sq.cm. The side of the square is :
  • A 13 cm
  • B 14 cm
  • C 15 cm
  • D 12 cm
Answer: Option B
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