$20000 \mathrm{m}=$  $\mathrm{km}$.

Important Questions on Numbers All Around Us

MEDIUM

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

A rectangular lawn whose length is twice its breadth is extended by having four semi-circular portions on its sides. What is the total area (in ${\mathrm{m}}^2$) of the lawn if the smaller side of the rectangle is $12 \mathrm{m}$? (Take $\mathrm{\pi }=3.14$)

EASY

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

If the area of an equilateral triangle is $36\sqrt{3} {\mathrm{cm}}^2$, then the perimeter of the triangle is:

EASY

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

The ratio of the total surface area and volume of a sphere is $2 : 7$. Its radius is _____.

MEDIUM

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

$N$ solid metallic spherical balls are melted and recast into a cylindrical rod whose radius is $3$ times that of a spherical ball and height is $4$ times the radius of a spherical ball. The value of $N$ is:

EASY

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

A plano-convex lens of unknown material and unknown focal length is given. With the help of a spherometer we can measure the

EASY

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

The sides of a triangle are in the ratio $3 : 2 : 4$ and the perimeter is $72 \mathrm{cm}$, Find the length of each side (in $\mathrm{cm}$) of the triangle.

MEDIUM

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

The base of a triangle is equal to the perimeter of a square whose diagonal is $9\sqrt{2} \mathrm{cm}$, and its height is equal to the side of a square whose area is $144 {\mathrm{cm}}^2$. The area of the triangle (in ${\mathrm{cm}}^2$) is _____.

EASY

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

If a cuboid has$\mathrm{l}=24 \mathrm{cm}, \mathrm{b}=16 \mathrm{cm}, \mathrm{h}=7.5 \mathrm{cm}$, its lateral surface area is ______.

EASY

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

The radius of a circular garden is $42 \mathrm{m}$. The distance (in meter) covered by running $8$ rounds around it is: (Take $\mathrm{\pi }=\frac{22}{7}$) 

EASY

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

The area of the four walls of a room having length $6 \mathrm{cm}$ breadth $4 \mathrm{m}$ and height $4 \mathrm{m}$, is:

MEDIUM

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

A and B are standing on the same side of a wall and observe that the angles of elevation to the top of the wall are $45°$ and $60°$
respectively. If the height of the wall is $50 \mathrm{m}$. the distance between A and B is: (Use $\sqrt{3}=1.73$ and $\sqrt{2}=1.41$)

HARD

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

A sphere is divided in $2 : 3$. Big portion moulded into a cone of which base radius is equal to its height. While small portion moulded into a cylinder of which height is equal to base radius. Find the ratio of Base radius of cone and height of cylinder. 

HARD

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

Find the cost of carpeting a room which is $11 \mathrm{m}$ long and $6 \mathrm{m}$ broad by a carpet which is $60 \mathrm{cm}$ broad at the rate of $₹112.50$ per meter.

MEDIUM

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

The two parallel sides of a trapezium are $17 \mathrm{cm}$ and $15 \mathrm{cm}$, respectively. If the height of the trapezium is $6 \mathrm{cm}$, then its area (in ${\mathrm{m}}^2$) is:

MEDIUM

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

The radius of the base of a right circular cylinder is increased by $20\%$. By what per cent should its height be reduced so that its volume remains the same as before?

MEDIUM

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

A solid cylinder of a base radius $12 \mathrm{cm}$ and height $15 \mathrm{cm}$ is melted and recast into $n$ toys each in the shape of a right circular cone of height $9 \mathrm{cm}$ mounted on a hemisphere of radius $3 \mathrm{cm}$. The value of $n$ is:

MEDIUM

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

A cube of side $1 \mathrm{m}$ length is cut into small cubes of side $10 \mathrm{cm}$ each. How many such small cubes can be obtained?

EASY

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

What is the area of triangle whose sides are $3 \mathrm{cm}$, $5 \mathrm{cm}$ and $4 \mathrm{cm}$?

MEDIUM

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

The radius of a circular field is equal to the side of a square field. If the difference between the perimeter of the circular field and that of the square field is $32$ m, what is the perimeter of the square field?

EASY

Mathematics>Arithmetic>Numbers All Around Us>Large Numbers in Daily Life

The radius of a circular field is $31.5$ metres. What is the circumference?