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Class 8 Exam  >  Class 8 Tests  >  Olympiad Test: Embedded Figure - 1 - Class 8 MCQ

Olympiad Test: Embedded Figure - 1 - Class 8 MCQ


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10 Questions MCQ Test - Olympiad Test: Embedded Figure - 1

Olympiad Test: Embedded Figure - 1 for Class 8 2024 is part of Class 8 preparation. The Olympiad Test: Embedded Figure - 1 questions and answers have been prepared according to the Class 8 exam syllabus.The Olympiad Test: Embedded Figure - 1 MCQs are made for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Embedded Figure - 1 below.
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Olympiad Test: Embedded Figure - 1 - Question 1
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In each of the following questions, fig. (X) is embedded in any one of the four alterative figures (a), (b), (c) or (d).
Find the alternative which contains fig. (X) as its part.

Olympiad Test: Embedded Figure - 1 - Question 2
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In each of the following questions, fig. (X) is embedded in any one of the four alterative figures (a), (b), (c) or (d).
Find the alternative which contains fig. (X) as its part.

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Olympiad Test: Embedded Figure - 1 - Question 3
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In each of the following questions, fig. (X) is embedded in any one of the four alterative figures (a), (b), (c) or (d).
Find the alternative which contains fig. (X) as its part.

Olympiad Test: Embedded Figure - 1 - Question 4
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In each of the following questions, fig. (X) is embedded in any one of the four alterative figures (a), (b), (c) or (d).
Find the alternative which contains fig. (X) as its part.
Olympiad Test: Embedded Figure - 1 - Question 5
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In each of the following questions, fig. (X) is embedded in any one of the four alterative figures (a), (b), (c) or (d).
Find the alternative which contains fig. (X) as its part.
Olympiad Test: Embedded Figure - 1 - Question 6
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Find the area of the shaded portion
Detailed Solution for Olympiad Test: Embedded Figure - 1 - Question 6

To find the area of shaded portion of given composite figure, first let us draw a line

Area of given figure  =  Area of ABGE + Area of GCFD
Area of ABGE :
Area of rectangle  =  Length ⋅ Width 
length BE  =  6 m, width GE  =  2 m
Area of ABGE  =  6(2)  =  12 m2
Area of GCFD :
Area of rectangle  =  Length ⋅ Width 
length CD  =  6 m, width FD  =  2 m
Area of GCFD  =  6(2)  =  12 m2
Area of shaded portion  =  12 + 12  =  24 m2

Olympiad Test: Embedded Figure - 1 - Question 7
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Find the area of the shaded portion
Detailed Solution for Olympiad Test: Embedded Figure - 1 - Question 7

To find the area of shaded portion, we have to subtract area of GEHF from area of rectangle ABCD.

Area of shaded portion
=  Area of rectangle ABCD - Area of square GEHF
Area of ABCD :
Area of rectangle  =  Length ⋅ Width 
Length AB  =  20 cm
Width AC  =  16 cm
Area of ABCD  =  20 (16)  =  320 cm2
Area of GEHF :
Area of square (GEHF)  =  side ⋅ side
Length GE  =  6 cm
Area of square GEHF  =  6 ⋅ 6
Area of square (GEHF)  =  36 cm2
Area of shaded region  =  320 - 36  =  284 cm2

Olympiad Test: Embedded Figure - 1 - Question 8
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Find the area of the shaded portion
Detailed Solution for Olympiad Test: Embedded Figure - 1 - Question 8

To find the area of shaded region, we have to subtract area of semicircle with diameter CB from area of semicircle with diameter AB and add the area of semicircle of diameter AC.

Area of shaded portion  
=  Area of AEB - Area of semicircle with diameter BC + area of semicircle with diameter AC
Area of semicircle AEB  =  (1/2) Πr2
=  (1/2) ⋅ (22/7) ⋅ (14)2
=  (1/2) ⋅ (22/7) ⋅ 14 ⋅ 14
=  22 ⋅ 14
=  308 cm2

Olympiad Test: Embedded Figure - 1 - Question 9
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Find the area of the shaded region
Detailed Solution for Olympiad Test: Embedded Figure - 1 - Question 9

To find the area of shaded portion, we have to subtract area of semicircles of diameter AB and CD from the area of square ABCD.

Area of shaded portion
=  Area of square ABCD - (Area of semicircle AEB + Area of semicircle DEC)
=  a2 - [ (1/2) Πr2) + ((1/2) Πr2) ]
=  72 - Πr2
=  49 -  (22/7) ⋅ (7/2)2
=  49 -  (22/7) ⋅ (7/2) ⋅ (7/2)
=  49  -  38.5
=  10.5 cm2

Olympiad Test: Embedded Figure - 1 - Question 10
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In each of the following questions, fig. (X) is embedded in any one of the four alterative figures (a), (b), (c) or (d).
Find the alternative which contains fig. (X) as its part.
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