Mensuration Questions and Answers updated daily – Aptitude



162 Mensuration Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Mensuration online test. Mensuration Questions with detailed description, explanation will help you to master the topic.

Mensuration Questions

1. A man ordered a square shaped table. He plans to cover the table top with a cloth. He finds out that the Diagonals measure 30dm. Per Sq.dm of cloth would cost Rs.34. Find the total cost to cover the top of the table?



SHOW ANSWER
Correct Ans:Rs. 15300
Explanation:
Diagonal of the table top is given as 30dm
Since the table is in the form of a square, the clothing area required will be the area of the Square
Area of the table = (Diagonal^2) / 2
= (30^2)/2 =450sq.dm
Price = Area x Cost Per Sq.dm = 450 x 34 = 15300


2. A Big Square shaped hall needs to be fitted with carpet. The Diagonals measure 50m. One Sq.m of carpet costs Rs.42. Find the total cost involved?



SHOW ANSWER
Correct Ans:Rs. 52500
Explanation:
Diagonal of the big Square shaped hall is given as 50m.
In order to find how many Sq.m of carpet is required to fill the hall, we need to find the area of the square shaped hall .
Area of the Square shaped hall = (Diagonal^2) / 2
= (50^2)/2 =1250 sq.m
Price = Area x Cost Per Sq.m = 1250 x 42 = 52500


3. Tiles need to be paved on a Square shaped parking lot. Diagonals measure 30m. One Sq.m of tiles would cost Rs.18, how much would it cost to fill the parking lot with tiles ?



SHOW ANSWER
Correct Ans:Rs. 8100
Explanation:
Given that the parking lot is in the shape of Square and its Diagonal length is 30m
In order to find cost involved we need to first estimate the area of the parking lot
Area of the Parking space= (Diagonal^2) / 2
= (30^2)/2 =450 sq.m
Price = Area x Cost Per Sq.m = 450 x 18 = 8100


4. Shopping mall has a square shaped childrens play area. The distance between the ends of the diagonal measures 35m. Laying of tiles would cost Rs.75 Per Sq.m. Find the total cost ?



SHOW ANSWER
Correct Ans:Rs. 45937.5
Explanation:
Given Diagonal length of the children's play area measures 35m
Area of the Children play area (Square Shape) = (Diagonal^2) / 2
=> (35^2)/2 =612.5sq.m
Price = Area x Cost Per Sq.m = 612.5 x 75 = 45937.5


5. A Field Observer finds out that distance between two ends of the diagonal (land in the shape of square) is 60 feet. Price per Sq.feet in that region is 700. How much does it cost to buy the land (Exclude registration and other misc. charges )?



SHOW ANSWER
Correct Ans:Rs. 1260000
Explanation:
Diagonal distance of the observed field is 60 feet
Area of the observed field (in shape of Square)= (Diagonal^2) / 2
=> (60^2)/2 =1800 sq.feet
Price = Area x Cost Per Sq.feet = 1800 x 700 = 1260000


6. A Square shaped wooden plate has a diagonal length of 30cm. To Varnish the plate, painter charges Rs.26 Per Sq.cm. Find the cost to varnish top side of the plate?



SHOW ANSWER
Correct Ans:Rs. 11700
Explanation:
Given Diagonal length of Square shaped wooden plate 30cm
Area of the Wooden plate (in shape of Square)= (Diagonal^2) / 2
=> (30^2)/2 =450sq.cm
Price = Area x Cost Per Sq.cm = 450 x 26 = 11700


7. A baby crawls diagonally in a Square shaped room. Baby covers a distance of 40dm. To protect the child against fall, parents decide to lay play mat on the floor. Play mat costs Rs.44 per Sq.dm. How much do parents need to spend to make the floor child proof ?



SHOW ANSWER
Correct Ans:Rs. 35200
Explanation:
Diagonal distance crawled by Baby is 40dm
Area of the room (in shape of Square)= (Diagonal^2) / 2
=> (40^2)/2 =800sq.dm
Price = Area x Cost Per Sq.dm = 800 x 44 = 35200


8. An ant walks diagonally in a Square shaped plot. It covers a distance of 35cm. Painter charges Rs.27 per Sq.cm. How much will it cost to paint the plot?



SHOW ANSWER
Correct Ans:Rs. 16537.5
Explanation:
Given Diagonal distance covered by an Ant is 35cm
Area of the Square Plot= (Diagonal^2) / 2
=> (35^2)/2 =612.5sq.cm
Price = Area x Cost Per Sq.cm = 612.5 x 27 = 16537.5


9. Ben walks diagonally in a Square shaped park. Ben covers a distance of 30m. To plough the given Square Park, a merchant charges Rs.20 per Sq.m. How much money have to be paid to the merchant?



SHOW ANSWER
Correct Ans:Rs. 9000
Explanation:
Given Ben walks distance of 30m
Park is in the shape of Square, so area of park (in shape of Square) = (Diagonal^2) / 2
=> (30^2)/2 =450 sq.m
Price = Area x Cost Per Sq.m = 450 x 20 = 9000


10. Given a Square whose diagonal is 65 units. Painter charges Rs.70 per Sq.units. Find the cost to Paint the Square?



SHOW ANSWER
Correct Ans:Rs. 147875
Explanation:
Given diagonal is 65 units
Area of Square = (Diagonal^2) / 2 => (65^2)/2 =2112.5
Price = Area x Cost Per Sq.units = 2112.5 x 70 = 147875


11. A farmer decides to plough a square shaped field whose Diagonals measure 55m. To plough the field using tractor, the driver charges Rs.52 per Sq.m. Find the overall cost to the farmer?



SHOW ANSWER
Correct Ans:Rs. 78650
Explanation:
Given Diagonal of the Square shaped farm land is 55m.
Area of required farmland = area of square
Area of the farmland = (Diagonal^2) / 2
= (55^2)/2 =1512.5sq.m
Price = Area x Cost Per Sq.m = 1512.5 x 52 = 78650


12. A man ordered a square shaped table. He plans to cover the table top with a cloth. He finds out that the Diagonals measure 25dm. Per Sq.dm of cloth would cost Rs.28. Find the total cost to cover the top of the table?



SHOW ANSWER
Correct Ans:Rs. 8750
Explanation:
Diagonal of the table top is given as 25dm
Since the table is in the form of a square, the clothing area required will be the area of the Square
Area of the table = (Diagonal^2) / 2
= (25^2)/2 =312.5sq.dm
Price = Area x Cost Per Sq.dm = 312.5 x 28 = 8750


13. A Big Square shaped hall needs to be fitted with carpet. The Diagonals measure 45m. One Sq.m of carpet costs Rs.39. Find the total cost involved?



SHOW ANSWER
Correct Ans:Rs. 39487.5
Explanation:
Diagonal of the big Square shaped hall is given as 45m.
In order to find how many Sq.m of carpet is required to fill the hall, we need to find the area of the square shaped hall .
Area of the Square shaped hall = (Diagonal^2) / 2
= (45^2)/2 =1012.5sq.m
Price = Area x Cost Per Sq.m = 1012.5 x 39 = 39487.5


14. Tiles need to be paved on a Square shaped parking lot. Diagonals measure 25m. One Sq.m of tiles would cost Rs.16, how much would it cost to fill the parking lot with tiles ?



SHOW ANSWER
Correct Ans:Rs. 5000
Explanation:
Given that the parking lot is in the shape of Square and its Diagonal length is 25 m
In order to find cost involved we need to first estimate the area of the parking lot
Area of the Parking space= (Diagonal^2) / 2
= (25^2)/2 =312.5sq.m
Price = Area x Cost Per Sq.m = 312.5 x 16 = 5000


15. Shopping mall has a square shaped childrens play area. The distance between the ends of the diagonal measures 30m. Laying of tiles would cost Rs.60 Per Sq.m. Find the total cost ?



SHOW ANSWER
Correct Ans:Rs. 27000
Explanation:
Given Diagonal length of the children's play area measures 30m
Area of the Children play area (Square Shape) = (Diagonal^2) / 2
=> (30^2)/2 =450 sq.m
Price = Area x Cost Per Sq.m = 450 x 60 = 27000


16. A Field Observer finds out that distance between two ends of the diagonal (land in the shape of square) is 55 feet. Price per Sq.feet in that region is 650. How much does it cost to buy the land (Exclude registration and other misc. charges )?



SHOW ANSWER
Correct Ans:Rs. 983125
Explanation:
Diagonal distance of the observed field is 55 feet
Area of the observed field (in shape of Square)= (Diagonal^2) / 2
=> (55^2)/2 =1512.5sq.feet
Price = Area x Cost Per Sq.feet = 1512.5 x 650 = 983125


17. A Square shaped wooden plate has a diagonal length of 25cm. To Varnish the plate, painter charges Rs.22 Per Sq.cm. Find the cost to varnish top side of the plate?



SHOW ANSWER
Correct Ans:Rs. 6875
Explanation:
Given Diagonal length of Square shaped wooden plate 25cm
Area of the Wooden plate (in shape of Square)= (Diagonal^2) / 2
=> (25^2)/2 =312.5sq.cm
Price = Area x Cost Per Sq.cm = 312.5 x 22 = 6875


18. A baby crawls diagonally in a Square shaped room. Baby covers a distance of 35dm. To protect the child against fall, parents decide to lay play mat on the floor. Play mat costs Rs.38 per Sq.dm. How much do parents need to spend to make the floor child proof ?



SHOW ANSWER
Correct Ans:Rs. 23275
Explanation:
Diagonal distance crawled by Baby is 35dm
Area of the room (in shape of Square)= (Diagonal^2) / 2
=> (35^2)/2 =612.5sq.dm
Price = Area x Cost Per Sq.dm = 612.5 x 38 = 23275


19. An ant walks diagonally in a Square shaped plot. It covers a distance of 30cm. Painter charges Rs.24 per Sq.cm. How much will it cost to paint the plot?



SHOW ANSWER
Correct Ans:Rs. 10800
Explanation:
Given Diagonal distance covered by an Ant is 30cm
Area of the Square Plot= (Diagonal^2) / 2
=> (30^2)/2 =450sq.cm
Price = Area x Cost Per Sq.cm = 450 x 24 = 10800


20. Harvey walks diagonally in a Square shaped park. Harvey covers a distance of 25m. To plough the given Square Park, a merchant charges Rs.18 per Sq.m. How much money have to be paid to the merchant?



SHOW ANSWER
Correct Ans:Rs. 5625
Explanation:
Given Harvey walks distance of 25m
Park is in the shape of Square, so area of park (in shape of Square) = (Diagonal^2) / 2
=> (25^2)/2 =312.5sq.m
Price = Area x Cost Per Sq.m = 312.5 x 18 = 5625



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