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Directions : In each of the following qu...

Directions : In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as
Assertion : After placing comma in the number 56943821 according to International System of Numeration, the number is written as 56,943,821.
Reason : To write a numeral in the Indian System, commas are first put after three digits from the right and then after every two digits.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If assertion is false but reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we will analyze both the Assertion and the Reason statements step by step. ### Step-by-Step Solution: 1. **Understanding the Assertion:** - The assertion states that after placing a comma in the number 56943821 according to the International System of Numeration, it is written as 56,943,821. - In the International System, numbers are grouped in sets of three digits starting from the right. The first group is the ones, then thousands, millions, and so on. 2. **Breaking Down the Number:** - The number 56943821 can be broken down as follows: - 56 million (56,000,000) - 943 thousand (943,000) - 821 (821) - When combined, this gives us 56,943,821. 3. **Understanding the Reason:** - The reason states that to write a numeral in the Indian System, commas are first put after three digits from the right and then after every two digits. - In the Indian System, the first comma is placed after three digits (ones, tens, hundreds), and subsequent commas are placed after every two digits (thousands, lakhs, crores). 4. **Comparing Assertion and Reason:** - The assertion is correct as per the International System of Numeration. - The reason is also correct, but it describes the Indian System of Numeration, which is not relevant to the assertion. 5. **Conclusion:** - Both statements are true, but the reason does not correctly explain the assertion because it refers to a different system of numeration. ### Final Answer: - The correct answer is: **Both the Assertion and Reason are true, but the Reason is not the correct explanation of the Assertion.**
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