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areas MCQs

Practise focused areas questions with marked answers for exam preparation and subject revision.

areas Mcqs
1. What is the diameter of a wheel that makes 113 revolution to go 2km 26 decametre?
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A. 4 4/13 m

B. 12 4/11m

C. 12 8/11m

D. 6 4/11m
2. The ratio between the length and breadth of a rectangular field is 5:4. If the breadth is 20 meters less than the length. The perimeter of the field is_________?
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A. 360m

B. None of these

C. 260m

D. 280m

3. If the circumference of a circle is 352 meters then its area in Sq.m is:________?
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A. 6589

B. 8956

C. 5986

D. 9856
4. If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
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A. 15

B. 12

C. 10

D. 14

5. The side of a square is increased by 25% then how much % does its area increases?
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A. 52.65

B. 50.75

C. 42.75

D. 56.25
6. If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is_________?
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A. 12.62 sq.cm

B. 15.12 sq.cm

C. 13.52 sq.cm

D. 10 sq.cm

7. Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
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A. 120 sq m

B. 150 sq m

C. 110 sq m

D. 300 sq m

8. The diameter of a circle is 105 cm less than the circumference what is the diameter of the circle?
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A. 48 cm

B. 49 cm

C. 46 cm

D. 44 cm

9. The length of a rectangular increased by 10% and it;s breadth is decreased by 10 %. Then the area of the new rectangle is_________?
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A. Increased by 1%

B. Neither increased nor decreased

C. Decreased by 10%

D. Decreased by 1%
10. A cuboidal water tank contains 216 liters is water. Its depth is 1/3 of its length and breadth is of 1/3 of the difference between length and depth. The length of the tank?
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A. 72dm

B. 18dm

C. 2dm

D. 6dm

11. The length of a hall is (4/3) times its breadth. If the area of the hall be 300 square meters the difference between the length and breadth is__________?
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A. 4m

B. None of these

C. 3m

D. 15m

12. The perimeter of a semi circle is 144 cm then the radius is_________?
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A. 30 cm

B. 35 cm

C. 28 cm

D. 25 cm

13. The number of rounds that a wheel of diameter 7/11 m will make in going 4 km is:_________?
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A. 2000

B. 1500

C. 1700

D. 1000

14. A rectangle has 15 cm as its length and 159 cm<sup>2
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A. 60 cm

B. 80 cm

C. 70 cm

D. 50 cm

15. parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long then its area is:__________?
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A. 450?15

B. 320 sq.m

C. 480 sq.m

D. 600?15 sq.m
16. A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
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A. Rs.3600

B. Rs.3900

C. Rs.3800

D. Rs.3700

17. In a rhombus whose area is 144 sq.cm on of its diagonals is twice as long as the other. The lengths of its diagonals are:_________?
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A. 12cm,24cm

B. 24 cm,48cm

C. 6cm,12cm

D. 6?2cm,12?2cm

18. A path of uniform width turns the inside of a rectangular field 38m long and 32m wide. IF the path occupies 600 m<sup>2
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A. 3m

B. 5m

C. 10m

D. 8.75m

19. The length of a rectangular plot is 4 times that of its breadth. IF the area of the plot is 200 square meters, then what is its length?
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A. 30m

B. 25m

C. None of these

D. 44m

20. Find the area of circle whose radius is 7m?
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A. 124 sq m

B. 167 sq m

C. 145 sq m

D. 154 sq m
21. The radius of a semi circle is 6.3 cm then its perimeter is?
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A. 32.4 cm

B. 35.4 cm

C. 32 cm

D. 30 cm

22. Which one of the following has a greater perimeter than the rest?
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A. A square with an area of 36 sq.cm

B. A rectangle with 10 cm as length and 40 sq.cm as area

C. A circle with a radius of 4 cm

D. An Equilateral Triangle with a side of 9 cm

23. The surface area of a (10cm x 4cm x3cm) brick is__________?
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A. 84 Sq.cm

B. 124 Sq.cm

C. 180 Sq.cm

D. 164 Sq.cm
24. The length of a rectangular room is 4 meters. If it can be partitioned into two equal square rooms. What is the length of each partition in meters:________?
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A. Data Inadequate

B. 2

C. 1

D. 4

25. The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
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A. Rs.1140

B. Rs.999

C. Rs.1085

D. Rs.1014

26. A covered wooden box has the inner measure as 115cm 75cm and 35cm and the thickness of wood is 2.5cm. The volume of the wood is____________?
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A. 81775cu.cm

B. 81000cu.cm

C. 82125cu.cm

D. None of these

27. How many meters of carpet 63cm will be required to be a floor of a room 14m by 9cm?
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A. 210m

B. 200m

C. 185m

D. 220m

28. Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
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A. 425

B. 476

C. 350

D. 450

29. What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
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A. 4:08

B. 3:1

C. 6:02

D. 1:04

30. Total area of the 64 small squares of aches board is 400cm2. There is 3cm wide border around the chess board. What is the length of each side of the chess board?
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A. 17cm

B. 20cm

C. 23cm

D. 26cm
31. The length and breadth of a rectangular piece of land are in the ratio of 5:3. The owner spent Rs 3000 for surroundings it from are the sides at Rs 7.50 per meter. The difference between is length and breadth is_________?
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A. 200m

B. 150m

C. 50m

D. 100m

32. A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
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A. Rs.78

B. Rs.44

C. Rs.45

D. Rs.40

33. If a square and a rhombus stand on the same base then the ratio of the areas of the squares and the rhombus is:_________?
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A. equal to

B. equal to 1

C. greater than 1

D. equal to 1/2

34. The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is_________?
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A. 1:9

B. 1:06

C. 1:05

D. 1:03

35. A rectangular water tank is open at the top. Its capacity is 24Cu.m.Its length and breadth are 4m and 3m respectively. Ignoring the thickness of the material used for building the tank the total cost of painting the inner and outer surface of the tank at Rs. 10 per Sq.m is_________?
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A. Rs.800

B. Rs.600

C. Rs.400

D. Rs.500

36. If the area of circle is 616 sq cm then its circumference?
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A. 88 m

B. 70 m

C. 75 m

D. 78 m

37. The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42 is?
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A. 39.6 m<sup>2</sup>

B. 79.2 m<sup>2</sup>

C. 26.4 m<sup>2</sup>

D. 52.8 m2
38. Area of a square with side x is equal to the area of a triangle with base x. The altitude of the triangle is:________?
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A. 2x

B. x

C. 4x

D. x/2

39. A room is 12 m long and 7w wide. The maximum length of a square tile to fill the floor of the room with whole number of its tiles should be_________?
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A. 150cm

B. 175cm

C. 200cm

D. 125cm

40. A wheel makes 1000 revolutions is covering a distance of 88 km. the diameter of the wheel is
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A. 24m

B. 28m

C. 40m

D. 14m

41. The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
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A. 32 m

B. 20 m

C. 16 m

D. 31 m

42. The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
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A. 27.50%

B. 37.5%

C. 47.50%

D. 57.50%

43. The difference between the radi of the smaller circle and the bigger circle is 7cm and the difference between the area of two circles is 1078Sq.cm Radius of the smaller circle is_________?
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A. 17.5cm

B. 21cm

C. None of these

D. 28cm

44. The length of a rope by which a cow must be tethered in order that she may be able to graze an area of 9856 sq.m is:________?
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A. 56m

B. 88m

C. 64m

D. 168m

45. The Length of a plot is four times is breadth. A playground measuring 1200 square meters occupies a third of the total area of the plot. What is the length of the plot in meters?
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A. 30

B. 60

C. None of these

D. 20

46. If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is________?
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A. 200 m

B. 600 m

C. 650 m

D. 300 m

47. If the radius of a circle be reduced by 50% its area is reduced by:_________?
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A. 50%

B. 75%

C. 100%

D. 25%

48. The area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm is__________?
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A. 17.5 cm<sup>2</sup>

B. 8.75 cm2

C. 55 cm<sup>2</sup>

D. 0.35 cm<sup>2</sup>

49. The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is__________?
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A. 1520 m2

B. 2520 m2

C. 2480 m2

D. 2420 m2

50. If the side of a square is increased by 25 % then how much percent does its area get increased:
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A. 125

B. 50

C. 56.25

D. 156.25