How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 31

EASY

CAT

IMPORTANT

Earn 100

In a swimming pool measuring $90 m$ by $40 m$ , $150$ men take a dip. If the average displacement of water by a man is $8$ cubic meters, what will be the rise in the water level?

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Important Questions on Geometry and Mensuration

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 32

How many meters of cloth

5 m

wide will be required to make a conical tent, the radius of whose base is

7 m

and height is

24 m

?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 33

Two cones have their heights in the ratio

1 : 2

and the diameters of their bases are in the ratio

2 : 1

. What will be the ratio of their volumes?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 34

A conical tent is to accommodate

10

persons. Each person must have

6 m^{2}

space to sit and

30 m^{3}

of air to breathe. What will be the height of cone?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 35

A closed wodden box measures externally

10 c m

long,

8 c m

broad and

6 c m

high. Thickness of wood is

0.5 c m

. Find the volume of wood used.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 36

A cuboid of dimension

24 c m \times 9 c m \times 8 c m

is melted and smaller cubes of side

3 c m

are formed. Find how many such cubes can be formed.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 37

Three cubes of volume of

216 m^{3}

are joined end to end. Find the surface area of the resulting figure.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 38

A hollow spherical shell is made of a metal of density

4.9 g / c m^{3}

. If the internal and external radii are

10 c m

and

12 c m

respectively, find the weight of the shell. (Take

π = 3.1416

)

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 16 - Geometry and Mensuration>Level of Difficulty>Q 39

The largest cone is formed at the base of a cube of side measuring

7 c m

. Find the ratio of volume of cone to cube.