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Aptitude — Aptitude Areas Mcq Set 2

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1. 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:

A. 50m
B. 100m
C. 150m
D. 200m
Correct Option: 50m

2. If the side of a square is increased by 25 % then how much percent does it's area get increased:

A. 125
B. 156.25
C. 50
D. 56.25
Correct Option: 56.25

3. 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:

A. 15m
B. 4m
C. 3m
D. None of these
Correct Option: None of these

4. The area of a rectangle is thrice that of a square. The length of the rectangle is 40 cm and the breadth of the rectangle is (3/2) times of the square. The side of the square in cm is:

A. 15
B. 20
C. 30
D. 60
Correct Option: 20

5. The length of a rectangle is increased by 60 %. By what percent would the width have to be decreased to maintain the same area?

A. 37 ½ %
B. 60 %
C. 75 %
D. 120%
Correct Option: 37 ½ %

6. If the ratio of the areas of two squares is 9:1 ratio of their perimeters is:

A. 9:1
B. 3:1
C. 3:4
D. 1:3
Correct Option: 3:1

7. A hall 20 m long and 15 m broad is surrounded by a verandah of uniform width of 2.5 m. The cast of flooring the verandah at the rate of Rs 3.50 per sq. Meter is:

A. Rs.500
B. Rs. 600
C. Rs. 700
D. Rs. 800
Correct Option: Rs. 700

8. The length and breadth of a square are increased by 40% and 30% respectively. The area of the resulting rectangle exceeds the area of the square by:

A. 42%
B. 62%
C. 82%
D. None of these
Correct Option: 82%

9. 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:

A. 1
B. 2
C. 4
D. Data Inadequate
Correct Option: 2

10. A rectangle has 15 cm as its length and 159 cm^2 as its area. Its area is increased to 1 1/3 times the original area by increasing only its length its new perimeter is:

A. 50 cm
B. 60 cm
C. 70 cm
D. 80 cm
Correct Option: 60 cm

11. The length of a rectangle is twice its breadth, if length is decreased by 5 cm and the breadth is increased by 5 cm. The length of the rectangle is:

A. 20 cm
B. 30 cm
C. 40 cm
D. 50 cm
Correct Option: 40 cm

12. If the base of rectangle is increased by 10 % and the area is unchanged then the corresponding altitude must be decreased by:

A. 9 1/11 %
B. 10%
C. 11%
D. 11 1/9 %
Correct Option: 9 1/11 %

13. If the diagonal of a square is doubled. How does the area of the square change?

A. Becomes fourfold
B. Becomes threefold
C. Becomes twofold
D. none of the above
Correct Option: Becomes fourfold

14. Area of a square with side x is equal to the area of a triangle with base x. The altitude of the triangle is:

A. x/2
B. x
C. 2x
D. 4x
Correct Option: 2x

15. If the circumference of a circle is 352 meters then its area in Sq.m is:

A. 9856
B. 8956
C. 6589
D. 5986
Correct Option: 9856

16. If the radius of a circle be reduced by 50% its area is reduced by:

A. 25 %
B. 50%
C. 75%
D. 100%
Correct Option: 75%

17. If the diameter of a circle is increased by 100 % its area is increased by:

A. 100%
B. 200%
C. 300%
D. 400%
Correct Option: 300%

18. A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ration of 6:5 The smaller side if the rectangle is:

A. 30 cm
B. 60 cm
C. 72 cm
D. 132 cm
Correct Option: 60 cm

19. The number of rounds that a wheel of diameter 7/11 m will make in going 4 km is:

A. 1000
B. 1500
C. 1700
D. 2000
Correct Option: 2000

20. The diameter of a circle is 105 cm less than the circumference what is the diameter of the circle?

A. 44 cm
B. 46 cm
C. 48 cm
D. 49 cm
Correct Option: 49 cm

21. The circumferences of two concentric circles are 176 m and 132 cm respectively. What is the difference between their radii?

A. 5 m
B. 7 m
C. 8 m
D. 44 m
Correct Option: 7 m

22. 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:

A. 56m
B. 64m
C. 88m
D. 168m
Correct Option: 56m

23. 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:

A. 24 cm,48cm
B. 12cm,24cm
C. 6√2cm,12√2cm
D. 6cm,12cm
Correct Option: 12cm,24cm

24. If a square and a rhombus stand on the same base then the ratio of the areas of the squares and the rhombus is:

A. greater than 1
B. equal to 1
C. equal to 1/2
D. equal to ¼
Correct Option: equal to 1

25. A parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long then its area is:

A. 480 sq.m
B. 320 sq.m
C. 600√15 sq.m
D. 450√15
Correct Option: 600√15 sq.m

26. A rectangular carpet has an area of 120 sq.m and a perimeter of 46 m. The length of its diagonal is:

A. 15 m
B. 16 m
C. 17 m
D. 20 m
Correct Option: 17 m

27. A rectangular carpet has an area of 60 sq.m its diagonal and longer side together equal 5 times the shorter side. The length of the carpet is:

A. 5 m
B. 12m
C. 13 m
D. 14.5m
Correct Option: 12m

28. The length of a rectangular plot is 4 ½ times that of its breadth. IF the area of the plot is 200 square meters, then what is it's length?

A. 25m
B. 62m
C. 44m
D. None of these
Correct Option: None of these

29. The Ratio of the length and breadth of a plot is 3:2 .If the breadth is 40m less than the what is the parameter of the plot?

A. 480m
B. 320m
C. 400m
D. 450m
Correct Option: 400m

30. A rectangular carpet has an area of 120 square meters and a parameter of 46m. The length of it's diagonals is

A. 11m
B. 13m
C. 15m
D. 17m
Correct Option: 17m

31. A room is 12 ¼ m long and 7w wide. The maximum length of a square tile to fill the floor of the room with whole number of it's tiles should be

A. 200cm
B. 175cm
C. 125cm
D. 150cm
Correct Option: 175cm

32. A rectangular courtyard 3.78min long and 5.25m broad is to be paved exactly with square tiles all of the same size. The minimum number of such tiles is

A. 430
B. 440
C. 450
D. 460
Correct Option: 450

33. The perimeter of a floor of a room is 18m.What is the area of four walls of the room if it; a height is 3m?

A. 21 Sq.m
B. 42 Sq.m
C. 54 Sq.m
D. 108 Sq.m
Correct Option: 54 Sq.m

34. A rectangular measure 8cm on length and it's diagonals measures 10cm what is the perimeter of the rectangular?

A. 36cm
B. 38cm
C. 28cm
D. 18cm
Correct Option: 28cm

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

A. 200m
B. 210m
C. 220m
D. 185m
Correct Option: 200m

36. A path of uniform width turns the inside of a rectangular field 38m long and 32m wide. IF the path occupies 600 m2 than the width of the path is

A. 3m
B. 5m
C. 8.7m
D. 10m
Correct Option: 5m

37. 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?

A. 17cm
B. 20cm
C. 23cm
D. 26cm
Correct Option: 26cm

38. The length of a rectangular increased by 10% and it;s breadth is decreased by 10 %. Then the area of the new rectangle is

A. Neither increased nor decreased
B. Increased by 1%
C. Decreased by 1%
D. Decreased by 10%
Correct Option: Decreased by 1%

39. If the diagonal of a rectangle is 17cm long and perimeter is 46 cm the area of the rectangle is

A. 100cm2
B. 110cm2
C. 120cm2
D. 150cm2
Correct Option: 120cm2

40. The Total cost of flooring a room at Rs.8.50 per square meter is Rs.510. If the length of the room is 8km it's breadth is

A. 7.5m
B. 8.5m
C. 10.5m
D. 12.5m
Correct Option: 7.5m

41. A rectangular field has dimensions 25m by 15m. Two mutually perpendicular passage of 2m width have been left in it's central part and grass has been grown in rest of the field. The area under the grass is:

A. 295m2
B. 299m2
C. 300m2
D. 375m2
Correct Option: 299m2

42. The perimeter of a rectangle is 60m. If it's length is twice its breadth then its area is

A. 160m2
B. 180m2
C. 200m2
D. 220m2
Correct Option: 200m2

43. The area of a rectangle is 12 sq.metres and it's length is 3 times that of it's breadth. What is the perimeter of the rectangle

A. 14m
B. 18m
C. 4m
D. None of these
Correct Option: None of these

44. The largest size of bamboo that can be placed in a square of area 100 sq.meters is:

A. 10m
B. 14.14m
C. 20m
D. 25m
Correct Option: 14.14m

45. The diagonal of a square is 4√2cm. The diagonal is another square whose area is double that of the first square is

A. 8cm
B. 8√2cm
C. 16cm
D. 4√2cm
Correct Option: 8cm

46. The perimeter of a rectangle and square are 160m each. The area of the rectangle is less than that it's square by 100cm meters. The less than that of the square by 100 sq.meters. the length of rectangle is

A. 30m
B. 40m
C. 50m
D. 60m
Correct Option: 50m

47. The length of a rectangular plot is twice its breadth. If the area of the rectangular plot is 6075 sq.meters .what is its length?

A. 45m
B. 75m
C. 130m
D. None of these
Correct Option: None of these

48. The length of a rectangular plot is increased by 25%. To keep it's area uncharged the width of the plot should be

A. Kept unchanged
B. Increased by 25%
C. Increased by 20%
D. Reduced by 20%
Correct Option: Reduced by 20%

49. If the length and width of a rectangular grand are each increased by 20% then what would be the percent increase in the area of the garden?

A. 20%
B. 24%
C. 36%
D. 44%
Correct Option: 44%

50. . If the length of a rectangle is increased by 20% and it's breadth is decreased by 20% then it area

A. Increased by 4%
B. decreased by 4%
C. Decreased by 1%
D. Remains unchanged
Correct Option: decreased by 4%

51. If each side of a square is increased by 50% the ratio of the area of the resulting square to the area of the given square is

A. 5:4
B. 9:4
C. 4:5
D. 4:9
Correct Option: 9:4

52. A circle and a rectangle have the same perimeter. The sides of the rectangle are 18cm and 26cm.What is the area of the circle?

A. 88cm2
B. 154cm2
C. 616cm2
D. 1250cm2
Correct Option: 616cm2

53. If an area enclosed by a circle or a square or an equal triangle is the same then the maximum perimeter is possessed by:

A. Circle
B. Square
C. Equilateral Triangle
D. Both Triangle and Square
Correct Option: Both Triangle and Square

54. The sides of a triangle are in the ratio ½: 1/3: ¼. If the perimeter is 52cm then the length of the smallest side is

A. 9cm
B. 10cm
C. 11cm
D. 12cm
Correct Option: 12cm

55. If the height of a triangle is decreased by 40% and its base is increased by 40% what will be the effect on its area?

A. No change
B. 8%decrease
C. 16% Decrease
D. 16%increases
Correct Option: 16% Decrease