Concept-wise Practice

recurring-block MCQ Questions for Class 10

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Practice Questions

2 questions tagged with recurring-block.

Question 1/2 Easy Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 21

\(0.464646\ldots\) में कौन सा अंक समूह बार-बार आ रहा है?

Which block of digits repeats in \(0.464646\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (46)

Step 1

Concept

Look carefully at the decimal: (46), then (46), then (46) appears.

Step 2

Why this answer is correct

So the recurring block is (46).

Step 3

Exam Tip

Exam tip: Identifying the recurring block is the first step in converting it to a fraction. चरण 1: दशमलव को ध्यान से देखें: (46), फिर (46), फिर (46) आता है। चरण 2: इसलिए आवर्ती समूह (46) है। चरण 3: परीक्षा सुझाव: आवर्ती समूह पहचानना भिन्न में बदलने की पहली सीढ़ी है।

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Question 2/2 Easy Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 21

कौन सा दशमलव असमाप्त आवर्ती परिमेय संख्या का उदाहरण है?

Which decimal is an example of a non-terminating recurring rational number?

Explanation opens after your attempt
Correct Answer

B. \(0.727272\ldots\)

Step 1

Concept

In \(0.727272\ldots\), the block (72) repeats.

Step 2

Why this answer is correct

A repeating decimal is rational.

Step 3

Exam Tip

Exam tip: Do not only see that a decimal is long; check whether a fixed pattern repeats. चरण 1: \(0.727272\ldots\) में (72) का समूह बार-बार आ रहा है। चरण 2: बार-बार आने वाला दशमलव परिमेय होता है। चरण 3: परीक्षा सुझाव: केवल लंबा दशमलव नहीं, दोहराव का नियम पहचानें।

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