Practice Questions for Geometry - Quadrilaterals & Polygons

1. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

Sum of all the interior angles of a polygon is 3060°. Find the number of sides of the polygon?

Backspace

7 8 9 4 5 6 1 2 3 0 . -

Clear All Submit

2. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

The perimeter of a square, a regular octagon and a hexagon are equal. If their areas are denoted by S, O and H respectively, then which of the following is true.

(a)
S > O > H
(b)
O > S > H
(c)
H > S > O
(d)
O > H > S

3. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

How many regular polygons with number of sides 'n' exist such that all the angles (in degrees) of the polygon are integers?

Backspace

7 8 9 4 5 6 1 2 3 0 . -

Clear All Submit

4. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

What is the fourth angle of a cyclic quadrilateral in which three angles are 50°, 130° and 120°?

(a)
120°
(b)
60°
(c)
30°
(d)
20°

5. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

The diagonals of which of the following quadrilaterals do not intersect each other at right angles: Kite, Rhombus, Rectangle and Square?

(a)
Square
(b)
Rectangle
(c)
Rhombus
(d)
Kite

6. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

What is the area of a square (in cm²) in which the sides are double that of a square with area 30 cm²?

(a)
60
(b)
120
(c)
90
(d)
None of these

7. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

What is the perimeter (in cm) and area (in cm²) of the parallelogram shown in the figure? (All the values are given in cm)

(a)
18, 20
(b)
20, 32
(c)
26, 32
(d)
26, 16

8. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

What is the length of the diagonal of a rectangle with an area 48 cm² and one of its sides as 6 cm?

(a)
10 cm
(b)
9 cm
(c)
12 cm
(d)
8 cm

9. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

Two diagonals of a quadrilateral meet at an angle of 30°. If the area of the quadrilateral is 50 cm² and length of one of the diagonals is 5 cm, what is the length of its other diagonal?

(a)
20 cm
(b)
40 cm
(c)
60 cm
(d)
30 cm
(e)
None of these

10. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

What is the area (in cm²) of a cyclic quadrilateral with sides 62 cm, 51 cm, 38 cm, and 23 cm?

Backspace

7 8 9 4 5 6 1 2 3 0 . -

Clear All Submit

11. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

Which of the following has the maximum area for the same perimeter?

(a)
Rectangle
(b)
Parallelogram
(c)
Square
(d)
Rhombus

12. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

Which of the following has the maximum perimeter for the same area?

(a)
Circle
(b)
Hexagon
(c)
Triangle
(d)
Rhombus

13. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

Which of the following has the maximum area for the same perimeter?

(a)
Quadrilateral
(b)
Pentagon
(c)
Hexagon
(d)
Circle

14. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

Which of the following has the maximum perimeter for the same area?

(a)
Quadrilateral
(b)
Pentagon
(c)
Hexagon
(d)
Circle

15. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

Area of the given figure is 60 cm². Length of the diagonal BD is equal to

(a)
16 cm
(b)
12 cm
(c)
8 cm
(d)
10 cm
(e)
None of these

16. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

Find the area (in cm²) of an octagon (which is not a regular polygon) whose perimeter is 40 cm and which circumscribes a circle of radius 6 cm.

Backspace

7 8 9 4 5 6 1 2 3 0 . -

Clear All Submit

17. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

A square of side 's' units is cut down into a regular octagon. What is the side of the regular octagon?

(a)
$\frac{s}{\sqrt{2}}$
(b)
$\frac{s}{\sqrt{2} + 1}$
(c)
$\frac{s}{\sqrt{2} + 2}$
(d)
None of these

18. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

What is the area of a regular octagon of side 16 cm?

(a)
256(1 + √2)
(b)
128(4 + 2√2)
(c)
128(3 + 2√2)
(d)
64(10 + √2)

19. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

What is the area (in cm²) of an isosceles trapezium in which the two parallel sides are 12 cm and 6 cm and the two non-parallel sides are 5 cm each?

Backspace

7 8 9 4 5 6 1 2 3 0 . -

Clear All Submit

20. CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

The area of a parallelogram (in cm²) with base and height equal to 12 cm and 6 cm respectively is?

Backspace

7 8 9 4 5 6 1 2 3 0 . -

Clear All Submit

CRE 1 - Basics | Geometry - Quadrilaterals & Polygons

Feedback