Quantitative Aptitude

Mensuration

2,507 Questions

All Direct Formula Application 1067 Shape Transformations 343 Mensuration Ratio Equations 277 Combined & Hollow Solids 247 Successive Percentage Changes 178 Inscribed & Circumscribed Figures 165 Cost Estimation Problems 100 Liquid Pour & Submergence 67 Unit Conversions 35 Path & Border Calculations 17 Time & Work Integration 7 Scale & Model Proportions 2

Mensuration Questions

Multiple choice

Find the curved surface area and total surface area of a cone whose Base diameter $=28\;cm$, slant height $=50\;cm$ Base diameter $=70\;cm$, height $8.4\;cm$

$2200\;cm^2,\;2815\;cm^2\;;\;10010\;cm^2,\;13860\;cm^2$
$2200\;cm^2,\;2816\;cm^2\;;\;10110\;cm^2,\;13860\;cm^2$
$2200\;cm^2,\;2816\;cm^2\;;\;10010\;cm^2,\;13860\;cm^2$
$2200\;cm^2,\;2816\;cm^2\;;\;10010\;cm^2,\;13660\;cm^2$

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Multiple choice

How many balls, each of radius $1$ cm, can be made from a solid sphere of lead of radius $8$ cm?

$512$
$500$
$400$
$345$

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Multiple choice

A solid piece of iron of dimensions $66 cm \times 49 cm \times 12 cm$ is moulded into a sphere. The radius of the sphere i s

$7 cm$
$3 cm$
$21 cm$
$14 cm$

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Multiple choice

The curved surface area of a cylinder is $264 m^2$ and its volume is $924 m^3$ Tile ratio of its diameter to its height is

$7:6$
$6:7$
$3:7$
$7:3$

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Multiple choice

A sphere of radius $6 cm$ is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is $8 cm$. If the sphere is Submerged completely, then the surface of the water rises by

$4.5 cm$
$4 cm$
$3 cm$
$2 cm$

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Multiple choice

The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius $3$ cm and height $7$ cm is

$108\pi cm^3$
$36 \pi cm^3$
$12\pi cm^3$
$\frac {4}{3}\pi cm^3$

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Multiple choice

Savitri had to make a model of a cylindrical kaleidoscope for her science project. She wanted to use chart paper to make the curved surface of the kaleidoscope. What would be the area of chart paper required by her, if she wanted to make a kaleidoscope of length $25\space cm$ with a $3.5\space cm$ radius? You may take $\left (\pi = \dfrac{22}{7}\right )$

$540\space cm^2$
$520\space cm^2$
$550\space cm^2$
$560\space cm^2$

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Multiple choice

Find the difference between total surface area & curved surface area of a hemisphere of radius $21\space cm$.

$1376\space cm^2$
$1386\space cm^2$
$1396\space cm^2$
$1404\space cm^2$

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Multiple choice

The ratio of the height of a circular cylinder to the diameter of its base is $1:2$. Then the ratio of the areas of its curved surface to the sum of the areas of its two ends is:

$1:1$
$1:2$
$2:1$
$1:3$

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Multiple choice

A rectangle of sides 10 cm and 8 cm is folded to form a cylinder in two different ways. The volume of the bigger cylinder thus formed is

$\displaystyle \dfrac{175}{\pi }cm^{3} $
$\displaystyle \dfrac{150}{\pi }cm^{3} $
$\displaystyle \dfrac{200}{\pi }cm^{3} $
$\displaystyle \dfrac{160}{\pi }cm^{3} $

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Multiple choice

A right circular cone has base radius 5 cm. If the radius is increased by 20% without any change in height of the cone, then the percentage increase in volume is

44%
40%
25%
22%

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Multiple choice

A solid wax right cone is melted and a number of right cylinder are made with the material find then the number of cylinders of the radius of the base of each cylinder is $\displaystyle \frac{1}{3}$ rd the radius of the cone and the height of each cylinder is half the height of cone

6
18
9
4

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Multiple choice

If a solid sphere and a solid hemisphere have the same volume then the ratio of their total surface areas is

$2:1$
$\displaystyle \sqrt[3]{16}:3$
$8 : 3$
$\displaystyle \sqrt[3]{16}:2$

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Multiple choice

The radius of base of a right circular cylinder is halved and its height is increased by 50%. The ratio of volume of the new cylinder to that of the original cylinder will be

3 : 8
2 : 1
3 : 1
4 : 1

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Multiple choice

A cylinder whose height is 2/3 of its diameter has same volume as that of a sphere of radius 8 cm .The radius of base of the cylinder is

8 cm
4 cm
2 cm
None of these

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