# Difficult Bar Charts Solved QuestionData Interpretation Discussion

Common Information

There are eight companies $C1, C2, C3, C4, C5, C6, C7$ and $C8$ in the market that manufacture furniture.

The furniture manufactured by these companies is sold in one or more than one of the five regions namely $R1, R2, R3, R4$ and $R5.$

Two companies are said to be ‘Competitors’ if there is at least one region where both the companies sell their furniture.

The following bar- graph provides information about the number of competitors seven of these eight companies have.

Assume that these are the only eight companies that sell furniture in the mentioned regions.

 Q. Common Information Question: 1/4 How many competitors does $C6$ have?
 ✖ A. 2 ✖ B. 3 ✔ C. 4 ✖ D. 5

Solution:
Option(C) is correct

From the bar - graph we get to know that the number of competitors of $C1, C2, C3, C4, C5, C7$ and $C8$ is $1, 3, 6, 4, 7, 3$ and $6$ respectively.

Since $C5$ is the competitor of each of the other companies, therefore the only competitor of $C1$ is $C5$.

Let’s consider $C3$: Number of competitors is $6$.

We know for sure that $C1$ is not the competitor of $C3$; therefore the six competitors of $C3$ are $C2, C4, C5, C6, C7$ and $C8.$

Similarly $C8$: Number of competitors is $6$ and the competitors of $C8$ are $C2, C3, C4, C5, C6$ and $C7$.

Therefore competitors of $C7$ are $C5, C3$ and $C8$ and competitors of $C2$ are $C5, C3$ and $C8$.

Since the competitors of $C1, C2, C3, C5, C7$ and $C8$ are known and fixed by us, the third competitor has to be $C6$.

Therefore the competitors of $C6$ are $C5, C3, C8$ and $C4$.

Now consider $C4$: Out of the four competitors it has, three are $C5, C3$ and $C8$.

So number of competitors of $C6$ is $4$