Class 9 Mathematics - Number Systems - Irrational numbers Hard Quiz

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(0.5834), \( \frac{7}{12} \), \(0.58\overline{3}\) में सबसे बड़ी संख्या कौन-सी है?

Among (0.5834), \( \frac{7}{12} \), and \(0.58\overline{3}\), which is the greatest number?

Explanation opens after your attempt
Correct Answer

C. (0.5834)

Step 1

Concept

\( \frac{7}{12}=0.58333\ldots \), which is slightly less than (0.5834). Think of all numbers in decimal form for comparison.

Step 2

Why this answer is correct

The correct answer is C. (0.5834). \( \frac{7}{12}=0.58333\ldots \), which is slightly less than (0.5834). Think of all numbers in decimal form for comparison.

Step 3

Exam Tip

\( \frac{7}{12}=0.58333\ldots \), जो (0.5834) से थोड़ा छोटा है। तुलना के लिए सभी को दशमलव रूप में सोचें।

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दशमलव \(8.03003000300003\ldots\) किस संख्या-प्रकार को दर्शा सकता है?

The decimal \(8.03003000300003\ldots\) can represent which type of number?

Explanation opens after your attempt
Correct Answer

C. अपरिमेयIrrational

Step 1

Concept

It is non-terminating and has no fixed repetition. Such a decimal can be the form of an irrational number.

Step 2

Why this answer is correct

The correct answer is C. अपरिमेय / Irrational. It is non-terminating and has no fixed repetition. Such a decimal can be the form of an irrational number.

Step 3

Exam Tip

यह असांत है और इसमें निश्चित दोहराव नहीं है। ऐसा दशमलव अपरिमेय संख्या का रूप हो सकता है।

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(0.1875), \( \frac{3}{16} \), \(0.18\overline{7}\) में सही संबंध कौन-सा है?

Which relation is correct among (0.1875), \( \frac{3}{16} \), and \(0.18\overline{7}\)?

Explanation opens after your attempt
Correct Answer

A. \(0.1875=\frac{3}{16}<0.18\overline{7}\)

Step 1

Concept

\( \frac{3}{16}=0.1875 \) and \(0.18\overline{7}=0.18777\ldots\). Therefore, the recurring number is greater.

Step 2

Why this answer is correct

The correct answer is A. \(0.1875=\frac{3}{16}<0.18\overline{7}\). \( \frac{3}{16}=0.1875 \) and \(0.18\overline{7}=0.18777\ldots\). Therefore, the recurring number is greater.

Step 3

Exam Tip

\( \frac{3}{16}=0.1875 \) और \(0.18\overline{7}=0.18777\ldots\) है। इसलिए आवर्ती संख्या बड़ी है।

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FAQs

Class 9 Mathematics Quiz FAQs

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