Counting Of Figures Reasoning Questions And Answers For SSC, Railway, Banking

Q11. Count the number of triangles in the figure?

triangle counting reasoning questions and answers

A) 27
B) 23
C) 16
D) 23

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Answer: (A)
Solution:
Total number of triangles
= (N x 2) - 5
= (16 X 2) - 5
= 32-5
=27
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Rectangle Counting Reasoning Questions And Answers

Q12. How many rectangles are there in the figure given below?

counting of figures reasoning questions

A) 6
B) 7
C) 8
D) 9

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Answer: (D)
Solution:
The figure in the question has been labeled as under:
counting of figures reasoning questions
Clearly,  there is 8 rectangle in the figure As given above.
Namely AEFM, EGHF, AGHM, AGND, GBLK, KLCN, GBCN, MHND, ABCD.
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Q13. How many bricks are there in the following figure?

counting of figures reasoning questions

A) 2
B) 4
C) 6
D) 8

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Answer: (B)
Solution:
Clearly there are 4 breaks in the given figure 
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Q14. How many parallelograms are there in the following figure?

rectangle  counting reasoning questions and answers

A) 20
B) 24
C) 28
D) 30

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Answer: (D)
Solution: 
First Label the image To understand
rectangle  counting reasoning questions and answers
Addition of column number
1+2+3+4 = 10
Addition of row number
1+2= 3
So, 10 x 3 = 30 
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Q15. What is the number of rectangles in the following figure?

counting of figures reasoning questions

A) 6
B) 7
C) 9
D) 11

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Answer: (C)
Solution:
The figure may be labeled as shown below
counting of figures reasoning questions
The Simplest rectangle is AEHG, EFIH, FBKJ, JKCL, and GILD i.e. 5 in number.
The rectangle is composed of two components each being AFIG and FBCL That is 2  is in number.
Only one rectangle namely AFLD is composed of three components and only one rectangle namely ABCD is composed of five components.
Thus, there are 5 + 2+ 1+ 1 = 9 Rectangles in the given figure
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