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

From a rectangular sheet of cardboard of size $5\ cm \times 2\ cm$, the greatest possible circle is cut off. What is the area of the remaining part?

$(25 - \pi)cm^{2}$
$(10 - \pi)cm^{2}$
$(4 - \pi)cm^{2}$
$(10 - 2\pi)cm^{2}$

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Multiple choice

A chord $AB$ of a circle of radius $20\ cm$ makes a right angle at the centre of the circle. What is the area of the minor segment in $cm^{2}$?

$31.4$
$57$
$62.8$
$114$

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Multiple choice

There are two circles of radii $6cm$ and $15cm$ respectively. What percent is the area of the greater circle of the area of smaller circle?

$525$%
$625$%
$6.25$%
$5.25$%

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Multiple choice

Find the perimeter of a circular plot which occupies an area of $154$ square metres.

$33m$
$22m$
$38m$
$44m$

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Multiple choice

If the area of a semicircle is 84 cm$^2$, then the area of the circle is .......................

144 cm$^2$
42 cm$^2$
168 cm$^2$
288 cm$^2$

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Multiple choice

If the radius of a circle is 7 m, then the area of the semicircle is .......................

77 m$^2$
44 m$^2$
88 m$^2$
154 m$^2$

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Multiple choice

If the area of a circle is $144$ cm$^2$, then the area of its quadrant is _____

$144$ cm$^2$
$12$ cm$^2$
$72$ cm$^2$
$36$ cm$^2$

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Multiple choice

If the radius of a circle is increased by $10$%, then the corresponding area of the new circle will be ................. . ($\pi =3.14$)

$121\pi { r }^{ 2 }$
$12.1\pi { r }^{ 2 }$
$1.21{\pi}^{ 2 }$
None of the given three.

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Multiple choice

The area of a sector with radius 4 cm and central angle $60$ degrees is

$\dfrac{2\pi}{3}cm^2$
$\dfrac{4\pi}{3}cm^2$
$\dfrac{8\pi}{3}cm^2$
$\dfrac{16\pi}{3}cm^2$

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Multiple choice

The area of a square and a circle are same. If area of the square is $3696$ sq. cm, the distance covered when $8$ rounds are taken round the circle(approximately), is ________.

$1724$cm
$1700$cm
$1800$cm
$2000$cm

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Multiple choice

An umbrella has 8 ribs which are equally spaced. Assuming umbrella to be a flat circle of radius 45 cm. Find the area between the two consecutive ribs of the umbrella.

$765.53cm^2$
$895.63cm^2$
$795.53cm^2$
$700.03cm^2$

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Multiple choice

A chord of a circle of radius $12$ cm subtends an angle of $120^o$ at the centre. Find the area of the corresponding segment of the circle. (Use $\pi =3.14$ and $\sqrt{3}=1.73$)

$88.44$
$94.88$
$43.88$
$54.88$

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Multiple choice

In measuring the circumference $100$cm of a circle, there is an error of $0.05$cm then percentage error in its area is?

$\dfrac{1}{10}$
$\dfrac{1}{5}$
$\dfrac{1}{100}$
$1$

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Multiple choice

The diameter of a circle found by measurement $5.2$ cms with a maximum error $0.05$ cms. The maximum error in its area is?

$4.1$ sq.cms
$0.041$ sq.cms
$0.41$ sq.cms
$0.5$ sq.cms

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Multiple choice

A circular plate expands when heated from a radius of $5 \ cms$ to $5.06 \ cm$ then the approximate percentage increase in its area is?

$0.6$
$1.2$
$2.4$
$0.12$

Reveal answer Fill a bubble to check yourself

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