Analytical Reasoning
Category : 9th Class
The chapter Analytical Reasoning is based upon the counting of various geometrical figures in a given complex figure.
EXAMPLE
1. Count the number of triangles in the following figure.
(a) 16 (b) 22 (c) 28 (d) 32
Explanation (c):
Let us label the components of given triangle as given below:
Number of triangles made up of one component (triangle) each =12.
There names are : 1,1, 3,...., 12.
Number of triangles made up of two components each = 8.
Similarly, number of triangles made up of 3 components each = 4.
And number of triangles made up of 6 components each = 4.
Hence, number of all the triangles
= 12 + 8 + 4 + 4 = 28.
2. In the following question, find the number of straight lines in the given figure.
(a) 18 (b) 20 (c) 24 (d) None of these
Explanation (d)
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