# Mensuration Quiz 1

Question 1

Time: 00:00:00
Largest side of an isosceles triangle is 9 less than the breadth of a rectangle whose area is equal to the area of a square. The area of the square is 675 cm². Find the length of it’s side if it is the right angled triangle. Given that the length of the rectangle is 27 cm.

10.52 cm

10.52 cm

11.31 cm

11.31 cm

15.43 cm

15.43 cm

17.11 cm

17.11 cm

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Question 2

Time: 00:00:00
Captain Marvel from MCU wants to build a house for herself in the cuboidal in shape with a hemispherical design on its top. She wants the maximum height of the house to be 63 m in which height of the hemispherical portion should be half the height of the lower portion. The diameter of the top should be such that it perfectly inscribes the top of the cuboidal portion touching all its edges. Find the Volume of the cuboidal portion.

54263 m3

54263 m3

45110 m3

45110 m3

37951 m3

37951 m3

37044 m3

37044 m3

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Question 3

Time: 00:00:00
Avigyan Kaushik has a field which he uses for farming. The perimeter of hia square shaped field is equal to twice the perimeter of his rectangular garden of length 10 m and breadth 4 m. If he wants to fence another semicircular field whose diameter is equal to the side of the square shaped field, then what is the total length of the fence?

28 m

28 m

32 m

32 m

36 m

36 m

40 m

40 m

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Question 4

Time: 00:00:00
Vishal gave a rubix cube of dimension 5×5 cm3 to Arya and asked her to solve it in 2 minutes. All sides of the cube are painted with silver colour. Arya mistakenly dis-assembled the cube it spreaded in cubes of size 1 cm3. Find how many 1 cm3 cubic parts will have none of their sides painted?

54

54

27

27

36

36

72

72

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Question 5

Time: 00:00:00
Rudraksh Khurana have a large farm house in the shape of square. The area of his farmhouse is 24200 sq m. How long will a he take to cross the field diagonally at the rate of 6.6 km/hr?

2.4 min

2.4 min

1.6 min

1.6 min

2 min

2 min

2.6 min

2.6 min

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Question 6

Time: 00:00:00
Tony Stark helped in constructions of a skate stadium which is very unique in shape. The skate stadium has a hemispherical skating rink covered with conical stands. The cone and the hemisphere have equal bases. If there heights are also equal, then the ratio of their curved surfaces will be

√2 : 1

√2 : 1

1 : √2

1 : √2

2 : 1

2 : 1

1 : 2

1 : 2

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Question 7

Time: 00:00:00
Wakanda people have their agriculture lands in the form of a triangle. In one of the triangular land ABC, BC = 7 cm. AC = 14 cm and AB = 15 cm. Find the length of the altitude suspended on AC from point B

4 cm

4 cm

7 cm

7 cm

6.5 cm

6.5 cm

9 cm

9 cm

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Question 8

Time: 00:00:00
A carpenter needs to carve a right circular cone for making a dressing table. For this he is using a solid wooden right circular cylinder. The radius and height of the cone are same as the radius and height of the cylinder. Find out what is the ratio of the volume of the wasted wood to that of the utilised wood ?

1 : 2

1 : 2

1 : 3

1 : 3

2 : 3

2 : 3

2 : 1

2 : 1

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Question 9

Time: 00:00:00
Maharani Janki Stadium which is being constructed in Bihar for the Ranji Trophy has a sphere-like structure covering it. If the radius of that spherical portion is increased by 10% then the volume of the stadium will be increased by

29.5%

29.5%

33.1%

33.1%

29.4%

29.4%

45.9%

45.9%

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Question 10

Time: 00:00:00
Wanda Vision want to construct a swimming pool in the shape of a circular ring. The area of the pool is 16π sq m and their radii are in the ratio 5 : 3. What is the area of the outer circle ?

25π sq m

25π sq m

9π sq m

9π sq m

16π sq m

16π sq m

36π sq m

36π sq m

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