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

A man builds a circular pool of radius $5\ m$ inside $12\ m$. In order to compensate the area lost by construction of pool, he extends the radius by $'r'$ while keeping the garden remains the same. The value of r (in m) is

$1$
$\displaystyle \sqrt{5}$
$\displaystyle \sqrt{7}$
$\displaystyle \frac{5}{\pi }$

Reveal answer Fill a bubble to check yourself

Multiple choice

If the circumference of a circle is $88$ cm, then the area of the circle (in sq.cm) is $\displaystyle \left ( \text{take} \ \pi = \frac{22}{7} \right )$

$\displaystyle 196\pi $
$\displaystyle 92\pi $
$\displaystyle 64\pi $
$\displaystyle 48\pi $

Reveal answer Fill a bubble to check yourself

Multiple choice

A metal pipe has an external radius of 4 cm and an internal radius of 3 cm. The volume of the metal of length 10 cm is

$120 cm^2$
$220 cm^2$
$440 cm^2$
$225 cm^2$

Reveal answer Fill a bubble to check yourself

Multiple choice

Find the area of a circle whose radius is 7 cm (in cm)

$\displaystyle 42\pi $
$\displaystyle 49\pi $
$\displaystyle 54\pi $
$\displaystyle 60\pi $

Reveal answer Fill a bubble to check yourself

Multiple choice

From a circle of radius 7 cm the largest possible square is cut and removed Find the area of the remaining portion (in cm$\displaystyle ^{2}$)

48
50
54
56

Reveal answer Fill a bubble to check yourself

Multiple choice

Length and breadth of a rectangle are 3.2 m and 150 cm Then the area is

$64 sq cm$
$5.6 sq cm$
$4.8 sqcm$
$48 sqcm$

Reveal answer Fill a bubble to check yourself

Multiple choice

If the circumference (in $cm$) and the area (in $\displaystyle cm^{2}$) of a circle are equal then find the radius of the circle

$1 cm$
$2 cm$
$3 cm$
$4 cm$

Reveal answer Fill a bubble to check yourself

Multiple choice

If P represents the area and W represents the circumference of the circle then P in terms of W is

$\displaystyle \frac{2\pi }{W}$
$\displaystyle \frac{4\pi^{2} }{W}$
$\displaystyle \frac{2\pi^{2} }{W}$
$\displaystyle \frac{W^{2} }{4\pi }$

Reveal answer Fill a bubble to check yourself

Multiple choice

If the area of a circle is $\displaystyle 81\pi $ then its circumference is

$\displaystyle 61\pi $
$\displaystyle 20\pi $
$\displaystyle 18\pi $
$\displaystyle 16\pi $

Reveal answer Fill a bubble to check yourself

Multiple choice

If C is the circumference of a circular disk in centimeters and A is the area of the same circular disk in square centimeter Then $\displaystyle \frac{C}{A}=\frac{A}{C}$ iff r =

$1$
$2$
$3$
$4$

Reveal answer Fill a bubble to check yourself

Multiple choice

The areas of two circular fields are in the ratio $16 : 49$. If the radius of the later is $14$ m, then what is the radius of the former?

$10$ m
$8$ m
$12$ m
$16$ m

Reveal answer Fill a bubble to check yourself

Multiple choice

Find the area of the sector of a circle with radius 4 cm and angle $90^o$.

$1\pi\space\ cm^2$
$2\pi\space\ cm^2$
$3\pi\space\ cm^2$
$4\pi\space\ cm^2$

Reveal answer Fill a bubble to check yourself

Multiple choice

The area of the sector is $12$ $ft^2$. Find the radius of the sector.

$5$ ft
$5.53$ ft
$3.32$ ft
$4$ ft

Reveal answer Fill a bubble to check yourself

Multiple choice

The circumference of circle of area $\displaystyle 64\pi $ square units is

$\displaystyle 8\pi $
$\displaystyle 16\pi $
$\displaystyle 32\pi $
$\displaystyle 64\pi $

Reveal answer Fill a bubble to check yourself

Multiple choice

The area of a circle is $81\pi$. What is the circumference of the circle?

$6\pi$
$12\pi$
$18\pi$
$24\pi$
$36\pi$

Reveal answer Fill a bubble to check yourself

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