Mensuration Questions NIACL, SBI PO, IBPS PO, NICl, LIC, Dena Bank PO PGDBF, BOI, Bank of Baroda and other competitive exams

- 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

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