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rational decimal MCQ Questions for Class 10

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Practice Questions

1 questions tagged with rational decimal.

Question 1/1 Hard Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 14

किस विकल्प में दिया गया दशमलव परिमेय है, यद्यपि वह समाप्त नहीं होता?

Which option gives a rational decimal even though it does not terminate?

Explanation opens after your attempt
Correct Answer

B. \(0.37373737\ldots\)

Step 1

Concept

A non-terminating decimal can still be rational if it is recurring.

Step 2

Why this answer is correct

In \(0.37373737\ldots\), the block (37) repeats, so it is rational.

Step 3

Exam Tip

Do not call a decimal irrational just because it is non-terminating; check for a repeating block. चरण 1: असांत दशमलव परिमेय भी हो सकता है, यदि उसमें आवर्तन हो। चरण 2: \(0.37373737\ldots\) में (37) बार-बार आ रहा है, इसलिए यह परिमेय है। चरण 3: असांत देखकर तुरंत अपरिमेय न मानें; आवर्ती भाग को ध्यान से पहचानें।

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