MEDIUM

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A person has a rectangular sheet having shorter side of $8 c m$ . He folded it from the midpoint of the longest side and get a new rectangle having ratio of longer to shorter side equal to the ratio of longer to shorter side in the original rectangle sheet. Then find the diagonal of the new rectangle formed.

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Important Questions on Geometry

EASY

Quantitative Aptitude>Geometry>Geometry>Rectangle

Read the given question and decide which of the following information is sufficient to answer the question.

What is the value of 0?

Information :

Question Image

(II) 0 < q < 90°

MEDIUM

Quantitative Aptitude>Geometry>Geometry>Rectangle

The exterior angle of a regular polygon is

72 °

. What would be the sum of all its interior angles?

MEDIUM

Quantitative Aptitude>Geometry>Geometry>Rectangle

∆ A B D

C

is the midpoint of

B D

. If

A B

= 10

cm, AD

= 12

cm and

A C

= 9

cm, then

B D = ?

EASY

Quantitative Aptitude>Geometry>Geometry>Rectangle

The distance between the centres of two circles having radii

5 c m

and

6 c m

\sqrt{10} c m

. Find the length (in

c m

) of direct common tangent.

MEDIUM

Quantitative Aptitude>Geometry>Geometry>Rectangle

If a point

P (x, y)

moves along the ellipse

\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1

and if

C

is the centre of the ellipse, then the sum of maximum and minimum values of

C P

EASY

Quantitative Aptitude>Geometry>Geometry>Rectangle

If the distance between the foci of an ellipse is

6

and the distance between its directrix is

12,

then the length of its latus rectum is

MEDIUM

Quantitative Aptitude>Geometry>Geometry>Rectangle

$5 : 18$ is the ratio of the length and perimeter of a rectangle. What would be the ratio of its length and breadth?

EASY

Quantitative Aptitude>Geometry>Geometry>Rectangle

An arc length of

16 π

units subtends an angle of

240

degrees. Find the radius (in unit) of the circle.

EASY

Quantitative Aptitude>Geometry>Geometry>Rectangle

A hall is

15 m

long and

12 m

broad. The sum of the areas of the floor and the ceiling is?(in square meters).

EASY

Quantitative Aptitude>Geometry>Geometry>Rectangle

If the interior angle of a regularpolygon is $108 °$ , then it is a-

1. Octagon

2. Hexagon

3. Pentagon

4. Tetragon

EASY

Quantitative Aptitude>Geometry>Geometry>Rectangle

How many tangents can be drawn to two circles, whose radii are equal to

4 c m

and

5 c m

respectively and the distance between the two centres is

5 c m

MEDIUM

Quantitative Aptitude>Geometry>Geometry>Rectangle

The equation of the circle passing through the foci of the ellipse

\frac{x^{2}}{16} + \frac{y^{2}}{9} = 1

, and having centre at

(0, 3)

EASY

Quantitative Aptitude>Geometry>Geometry>Rectangle

The length of one side and the diagonal of a rectangle are

10 cm

and

26 cm

respectively. Find the length of the other side (in

cm

EASY

Quantitative Aptitude>Geometry>Geometry>Rectangle

In the given diagram, point R and Q are on PS. ÐPQT = x°, ÐRQT = (x – 50)° and ÐTUR = (x + 25°). find the value of ÐURS.

Question Image

EASY

Quantitative Aptitude>Geometry>Geometry>Rectangle

Find the perimeter (in

c m

) of a semicircle of radius

7 c m

EASY

Quantitative Aptitude>Geometry>Geometry>Rectangle

△ A B C,

the measure of angle

∠ A B C

90 °

. If

tan A = \frac{12}{5},

and

A B = 1 c m

, then what is the length (in

c m

) of side

B C ?

EASY

Quantitative Aptitude>Geometry>Geometry>Rectangle

The area of an equilateral triangle is

18 \sqrt{3}

sq. units. Find the value of the side (in units) of the triangle.

MEDIUM

Quantitative Aptitude>Geometry>Geometry>Rectangle

If the length of a rectangle is decreased by

5

metres and breadth increased by

3

metres, its area decreases by

9 m^{2}

. If its length is increased by

3 m

and breadth by

2 m

, its area increases by

67

m^{2}

. What is the length of the rectangle ?

HARD

Quantitative Aptitude>Geometry>Geometry>Rectangle

If the distance between the foci of an ellipse is half the length of its latus rectum, then the eccentricity of the ellipse is:

HARD

Quantitative Aptitude>Geometry>Geometry>Rectangle

A rectangular garden of length $12 m$ is surrounded by a $2 m$ wide path. If the area of the garden is $84 m^{2}$ and the cost of gravelling is $₹ 8$ per $m^{2}$ , then what is the total cost of gravelling the path?

Important Questions on Geometry

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