Assertion-Reason Questions
Q1: Assertion (A): The class size of the class interval 40-50 is 10.
Reason (R): The difference between the upper and lower limit of a class interval is called the class-size.
Step 1: Identify the class interval:
Class interval = 40 – 50
Step 2: Find the class size using the formula:
Class size = Upper limit − Lower limit
Class size = 50 − 40
Class size = 10
Step 3: Verify the assertion:
The class size is 10, which matches the assertion.
Therefore, Assertion (A) is TRUE.
Step 4: Understand the reason:
Reason states that the difference between upper and lower limits of a class interval is called class size.
This is the correct definition of class size.
Therefore, Reason (R) is TRUE.
Step 5: Since Reason (R) correctly explains Assertion (A), the correct option is:
Answer: a. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
Q2: Assertion (A) : The class mark of the class interval 100-200 is 200.
Reason (R) : \(\text{Class mark} = \frac{\text{Upper limit} + \text{Lower limit}}{2}\).
Step 1: Identify the class interval:
Class interval = 100 – 200
Step 2: Calculate the class mark using the formula:
\[
\text{Class mark} = \frac{\text{Upper limit} + \text{Lower limit}}{2} = \frac{200 + 100}{2} = \frac{300}{2} = 150
\]Step 3: Compare with Assertion:
The calculated class mark is 150, but Assertion says it is 200.
Hence, Assertion (A) is FALSE.
Step 4: The Reason gives the correct formula for class mark.
Hence, Reason (R) is TRUE.
Step 5: Since Assertion (A) is false but Reason (R) is true, the correct option is:
Answer: d. Assertion (A) is false but Reason (R) is true.
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