Non Verbal Reasoning - Analytical Reasoning - Discussion

Discussion Forum : Analytical Reasoning - Section 2 (Q.No. 7)
7.

What is the minimum number of different colours required to paint he given figure such that no two adjacent regions have the same colour?

3
4
5
6
Answer: Option
Explanation:

The figure may be labelled as shown.

The regions A, C, E and G can have the same colour say colour 1.

The regions B, D, F and H can have the same colour (but different from colour 1) say colour 2.

The region 1 lies adjacent to each one of the regions A, B, C, D, E, F, G and H and therefore it should have a different colour say colour 3.

The regions J, L and N can have the same colour (different from colour 3) say colour 1.

The regions K, M and O can have the same colour (different fromthe colours 1 and 3). Thus, these regions will have colour 2.

The region P cannot have any of the colours 1 and 2 as it lies adjacent to each one of the regions J, K, L, M, N and O and so it will have colour 3.

The region Q can have any of the colours 1 or 2.

Minimum number of colours required is 3.

Discussion:
2 comments Page 1 of 1.

Raghunath said:   5 years ago
@Siva:

Up to Q is 17=>17/2=8.

Why you divided by 2?

Siva said:   9 years ago
Fill region upto A To Q.

A is 1, B is 2,C is 3. Upto Q is 17 =>17/2=8 and remainder 1.
Add divisor + remainder.
So minimum Colorol is 3.

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