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

When the circumference and area of a circle are numerically equal, find the numerical value of its diameter.

$\dfrac{\pi}{2}$
$8$
$2 \pi$
$4$

Reveal answer Fill a bubble to check yourself

Multiple choice

The length of a rectangle is $\left( \cfrac { 6 }{ 5 } \right) $th of its breadth. It its perimeter is $132m$, its area will be ______ .

$1080{m}^{2}$
$640{m}^{2}$
$1620{m}^{2}$
$2160{m}^{2}$

Reveal answer Fill a bubble to check yourself

Multiple choice

If the length of a rectangle is two times its breadth and area is $228{cm}^{2}$, then length and breadth are respectively ________ .

$20cm$, $10cm$
$12cm$, $24cm$
$24cm$, $12cm$
$16cm$, $18cm$

Reveal answer Fill a bubble to check yourself

Multiple choice

The length of a rectangle is $\displaystyle \left( \frac{3}{4} \right)^{th}$ of its breadth. If its perimeter is 126 m, then its area will be _______.

972 $m^2$
640 $m^2$
840 $m^2$
954 $m^2$

Reveal answer Fill a bubble to check yourself

Multiple choice

What is the radius of a circle of area $616\ { cm }^{ 2 }$?

$16 cm$
$12 cm$
$14 cm$
None of these

Reveal answer Fill a bubble to check yourself

Multiple choice

If the sum of the areas of two circles with radii $R_1$ and $R_2$ is equal to the area of a circle of radius R, then

$R_{1}+R_{2}=R$
$R_{1}^{2}+R_{2}^{2}=R^{2}$
$R_{1}+R_{2} < R$
$R_{1}^{2}+R_{2}^{2} < R^{2}$

Reveal answer Fill a bubble to check yourself

Multiple choice

The area of the minor segment of a circle of radius 14 cm, when the angle of the corresponding sector is $60^0$, is

$\frac{308}{3}-98\sqrt{3} cm^2$
$\frac{308}{3}+49\sqrt{3} cm^2$
$\frac{308}{3}+98\sqrt{3} cm^2$
$\frac{308}{3}-49\sqrt{3} cm^2$

Reveal answer Fill a bubble to check yourself

Multiple choice

On a square cardboard sheet of area $784$ $cm^2,$ four congruent circular plates of maximum size are placed such that each circular plate touches the other two plates and each side of the square sheet is tangent to two circular plates. Find the area of the square sheet not covered by the circular plates.

$154$ $cm^{2}$
$168$ $cm^{2}$
$616$ $cm^{2}$
$284$ $cm^{2}$

Reveal answer Fill a bubble to check yourself

Multiple choice

All the vertices of a rhombus lie on a circle., if area of the circle is 1256 $cm^2 .$ (Use $\pi =$ 3.14), then find out the area of the rhombus?

$1600 cm^2$
$800 cm^2$
$400 cm^2$
$200cm^2$

Reveal answer Fill a bubble to check yourself

Multiple choice

The diameter of a circle whose area is equal to the sum of the area of two circles of diameter $16 cm$ and $12 cm$ is:

$56 cm$
$42 cm$
$28 cm$
$20 cm$

Reveal answer Fill a bubble to check yourself

Multiple choice

If the area of a circle is $154 cm^2$, then its perimeter is: $\left[ \pi =\dfrac{22}{7} \right ]$

$22 cm$
$44cm$
$50cm$
$56cm$

Reveal answer Fill a bubble to check yourself

Multiple choice

The circumference of a circle is $44 cm$. Then the area of circle is:

$276cm^{2}$
$44cm^{2}$
$176cm^{2}$
$154cm^{2}$

Reveal answer Fill a bubble to check yourself

Multiple choice

If a wire of length 22 cm is bent in the shape of a circle, then area of the circle so formed is 40 $cm^2$.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
Assertion is correct but Reason is incorrect
Assertion is incorrect but Reason is correct

Reveal answer Fill a bubble to check yourself

Multiple choice

A circular area having a radius 20 cm is divided into two equal parts by a concentric circle of radius 'r'. The value of 'r' will be

5 cm
10 cm
5$\sqrt{2}$cm
10$\sqrt{2}$cm

Reveal answer Fill a bubble to check yourself

Multiple choice

A cord in the form of a square encloses the area 'S' $cm^2$. If the same cord is bent into the form of a circle, then the area of the circle is

$\frac{\pi s^2}{4}$
$4\pi s^2$
$\frac{s}{4\pi }$
$\frac{4s}{\pi }$

Reveal answer Fill a bubble to check yourself

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