## Quant Quiz On Mensuration Day 26 Bag

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- The ratio between volumes of a hemisphere and a cone is 1:1. If the cone’s height is equal to its diameter, then find the ratio of diameter of hemisphere and cone ?

A) 2:1

B) 1:1

C) 3:2

D) 2:3 - If the height of a pyramid is 12cm and its base is a square which perimeter is 40cm, then find the volume of pyramid?

A) 300 cm³

B) 200 cm³

C) 400 cm³

D) 500 cm³ - If the perimeter of square, circle, rectangle, are equal. Then whose area is largest?

A) Circle

B) Square

C) Rectangle

D) All are equal - A rectangular plot of grass is 50m long and 40m broad. From the center of each side a path of 3m wide goes across the center of the opposite side. Find the area of path?

A) 270

B) 280

C) 251

D) 261

- The height of the cone is 24 cm and the curved surface area of cone is 550 cm
^{2}. Find its volume.

A) 1200 cm^{2}

B) 1232 cm^{2}

C) 1240 cm^{2}

D) 1260 cm^{2}

E) 1262 cm^{2} - The side of a square base of a pyramid increases by 20% and its slant height increases by 10%. Find the per cent change in Curved Surface Area.

A) 28%

B) 58.4%

C) 32%

D) 45.20%

E) 48% - If a copper wire is bend to make a square whose area is 324 cm
^{2}. If the same wire is bent to form a semicircle, then find the radius of semicircle.

A) 7 cm

B) 14 cm

C) 11 cm

D) 21 cm

E) 12 cm - A man wants to make small sphere of size 1 cm of radius from a large sphere of size of 6 cm of radius. Find out how many such sphere can be made?

A) 216

B) 125

C) 36

D) 200

E) 64 - A sphere of radius 9 cm is dip into a cylinder who is filled with water upto 20 cm. If the radius of cylinder is 6 cm find the percentage change in height.

A) 50%

B) 40%

C) 55%

D) 45%

E) 57% - The length of the perpendicular drawn from any point in the interior of an equilateral triangle to the respective sides are P1, P2 and P3. Find the length of each side of the triangle.

A) 2/√3 *(P1 + P2 + P3)

B) 1/3 * (P1 + P2 + P3)

C) 1/√3 *(P1 + P2 + P3)

D) 4/√3 *(P1 + P2 + P3)

E) 5/√3 *(P1 + P2 + P3) - A conical cup is filled with ice cream. The ice cream forms a hemispherical shape on its top. The height of the hemispherical part is 7 cm. The radius of the hemispherical part equals the height of cone then the volume of ice cream is?

A) 1078 cm^{3}

B) 1708 cm^{3}

C) 7108 cm^{3}

D) 7180 cm^{3}

E) 1808 cm^{3} - Assume that a drop of water is spherical and its diameter is one tenth of a cm. A conical glass has equal height to its diameter of rim. If 2048000 drops of water fill the glass completely then find the height of the glass.

A) 12 cm

B) 16 cm

C) 20 cm

D) 8 cm

E) 10 cm - If the radius of a sphere increase by 4 cm then the surface area increase by 704 cm
^{2}. The radius of the sphere initially was?

A) 5

B) 4

C) 6

D) 8

E) 10 - By melting two solid metallic spheres of radii 1 cm and 6 cm, a hollow sphere of thickness 1 cm is made. The external radius of the hollow sphere will be.

A) 8 cm

B) 9 cm

C) 6 cm

D) 7 cm

E) 10 cm

- A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edge of one of the faces of the cube and the vertex is on the opposite face of the cube. If the volumes of cube is 216 cm
^{3}, what is the volume of the cone (approximately)?

A) 56 cm^{3}

B) 60 cm^{3}

C) 46 cm^{3}

D) 50 cm^{3}

E) None of these - The diagram shows a section of a rocket firework. If this section can be completely filled with gunpowder what is the volume of gunpowder required?

A) 1882 cm^{3}

B) 1782 cm^{3}

C) 1982 cm^{3}

D) 1682 cm^{3}

E) None of these - If a square, circle and rectangle has same perimeter then which one of them has the maximum area?

A) Square

B) Circle

C) Rectangle

D) All have equal area

E) Cannot be determined - A cylinder has some water at height 20 cm. If a sphere of radius 6 cm is poured into it then find the rise in height of water if the radius of cylinder is 4 cm.

A) 3 cm

B) 9 cm

C) 18 cm

D) 15 cm

E) None of these - If the base of a pyramid is square and its side is 4√2 cm and slant height of pyramid is 5 cm, find the volume of pyramid.

A) 48 cm^{3 }B) 16 cm^{3 }C) 24 cm^{3 }D) 32 cm^{3 }E) None of these - A sphere of 5 cm radius is melted and small sphere of radius 1 cm is made from it. Find the number of sphere that can be made from it.

A) 25

B) 125

C) 50

D) 100

E) None of these - A person wants to make a cylindrical box which is open from the top. If the height of that box is 10 cm and radius is 7 cm find the area of sheet which is required to make it.

A) 880 cm^{2}

B) 1188 cm^{2}

C) 594 cm^{2}

D) 440 cm^{2}

E) None of these - A square park has a 2 m wide cross road in middle of it. If the side of park is 100 m then find the remaining area of the park.

A) 9650 m^{2}

B) 9596 m^{2}

C) 9600 m^{2}

D) 9604 m^{2}

E) None of these - In a right circular cone the radius of its base is 6 cm and its height is 14 cm. A cross section is made through the mid-point of the height parallel to the base. The volume of the lower portion is?

A) 528 cm^{3 }B) 366 cm^{3 }C) 498 cm^{3 }D) 462 cm^{3 }E) None of these - If radius of cone decrease by 50% and height increase by 20%. Then find the percentage change in the volume.A) 70% decrease

B) 70% increase

C) 40% decrease

D) 40% increase

E) 20% increase