Hard Mathematics Chapter 1: Real Numbers Class 10 Level 15

कौन-सा विकल्प \(0.15155155515555\ldots\) की प्रकृति सही बताता है?

Which option correctly describes the nature of \(0.15155155515555\ldots\)?

Explanation opens after your attempt
Correct Answer

C. असांत अनावर्ती अपरिमेयNon-terminating non-recurring irrational

Step 1

Concept

This decimal does not terminate.

Step 2

Why this answer is correct

The number of (5)'s keeps increasing, so no fixed repeating block is formed.

Step 3

Exam Tip

A non-terminating non-recurring decimal is irrational. चरण 1: यह दशमलव समाप्त नहीं हो रहा है। चरण 2: इसमें (5) की संख्या बढ़ती जाती है, इसलिए कोई स्थिर आवर्तन नहीं बनता। चरण 3: असांत अनावर्ती दशमलव अपरिमेय होता है।

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The correct answer is C. असांत अनावर्ती अपरिमेय / Non-terminating non-recurring irrational.

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