Counting of Straight Lines


 
 
Concept Explanation
 

Counting of Straight Lines

Counting of Straight Lines :

The chapter on Analytical Reasoning involves the problems relating to the counting of geometrical figures in a given complex figure. The systematic method for determining the number of any particular type of figure by the analysis of the complex figure would be clear from the examples that follow.

Example: In the following question, find the minimum number of straight lines required to make the given figure.

A.  16

B.  17

C.  18

D.  19

Answer : B

Explanation:  The figure may be labelled as shown.

The borizontal lines are IK, AB, HG, and DC i.e. 4 in number . The vertical lines are AD, EH, JM, FG and BC i.e. 5 in number. The slanting lines are IE, JE , JF, KF, DE, DH, FC and GC i.e . 8 in number. Thus , there are 4+5+8 = 17 straight lines in the figure .

Example: In the following question, find the minimum number of straight lines required to make the given figure.

A.  11

B.  14

C.  16

D. 17

Answer : B

Explanation : The figure may be labelled as shown .

The horizontal lines are AK, BJ, CI , DH, and EG i.e. 5 in number. The vertical lines are AE, LF, and KG i.e. 3 in number. The slanting lines are LC, CF, FI, LI, Ek and Ag i.e. 6 in number . Thus , there are 5+3+6 = 14 straight lines in the figure

Sample Questions
(More Questions for each concept available in Login)
Question : 1

In each of the following questions find the number of straight lines used information of the given figure.


Right Option : C
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Explanation
Question : 2

In each of the following questions find the number of straight lines used information of the given figure.

Right Option : D
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Explanation
Question : 3

How many straight lines are there in the figure given below ?

Right Option : B
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Explanation
 
 
 


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