Question

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): The production of organisation can be shown below by bar chart.

This bar chart can be also represented in pie chart.
Reason (R): Bar graph can be converted in pie chart form.
In the light of the above statements, choose the most appropriate answer from the options given below:

• A. Both (A) and (R) are correct and (R) is the correct explanation of (A)
• B. Both (A) and (R) are correct but (R) is not the correct explanation of (A)
• C. (A) is correct but (R) is not correct
• D. (A) is not correct but (R) is correct

Hint:

To check if the Reason is the correct explanation, read them together using "because":
"The production can be shown by a bar chart... BECAUSE a bar graph can be converted into a pie chart."
This does not make logical sense, confirming that (R) is not the explanation of (A).

Answer 1

The Correct Option is B

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Step 1: Understanding the Question: This is an Assertion-Reasoning type question based on statistical representation of data.
We need to verify if the statement in Assertion (A) is correct, if the statement in Reason (R) is correct, and if (R) logically explains why (A) is correct.

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Step 2: Key Formula or Approach:
- Evaluate Assertion (A): Check if the data represented in the bar chart (production over different years) can also be represented using a pie chart.
- Evaluate Reason (R): Check if it is a general mathematical fact that bar graph data can be converted into a pie chart.
- Assess the relationship: Does the capability of conversion explain why the data was originally shown or can be shown by a bar chart?

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Step 3: Detailed Explanation:
- Evaluating Assertion (A):
The given bar chart represents the production (in tons) of an organization across different years: 2010 (2 tons), 2011 (6 tons), 2012 (7 tons), 2013 (4 tons), and 2014 (3 tons).
Since these values represent parts of a finite total production, they can easily be expressed as percentages or degrees of a whole.
Therefore, this data can indeed be represented in the form of a pie chart. Thus, Assertion (A) is correct.
- Evaluating Reason (R):
A bar chart representing discrete categories with absolute positive values can always be converted into a pie chart by calculating the relative contribution of each category to the total.
Hence, the statement "Bar graph can be converted in pie chart form" is a true general statement. Thus, Reason (R) is correct.
- Evaluating the Connection:
While both statements are true, the reason (R) does not explain the physical presentation of the bar chart in the assertion.
The bar chart is chosen to represent data across continuous time blocks (years) where discrete annual comparison is the primary focus.
Thus, R is not the correct explanation of A.

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Step 4: Final Answer: Both (A) and (R) are correct but (R) is not the correct explanation of (A), which matches option (B).