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non-terminating MCQ Questions for Class 10

non-terminating se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

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2 questions tagged with non-terminating.

Question 1/2 Easy Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 26

कौन सा विकल्प सांत दशमलव नहीं है लेकिन परिमेय है?

Which option is not terminating but rational?

Explanation opens after your attempt
Correct Answer

A. (0.121212...)

Step 1

Concept

(0.121212...) is a non terminating recurring decimal. A non terminating recurring decimal is rational.

Step 2

Why this answer is correct

The correct answer is A. (0.121212...). (0.121212...) is a non terminating recurring decimal. A non terminating recurring decimal is rational.

Step 3

Exam Tip

(0.121212...) अनंत आवर्ती दशमलव है। अनंत आवर्ती दशमलव परिमेय होता है।

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Question 2/2 Hard Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 19

किस विकल्प में दी गई संख्या का दशमलव प्रसार सांत नहीं होगा?

Which option gives a number whose decimal expansion will not terminate?

Explanation opens after your attempt
Correct Answer

D. \(\frac{25}{2^2\cdot 3\cdot 5}\)

Step 1

Concept

For a terminating decimal, the reduced denominator must contain only (2) and (5).

Step 2

Why this answer is correct

In option (D), the denominator contains (3), and after reducing \(\frac{25}{2^2\cdot 3\cdot 5}\), the factor (3) remains. So it will not terminate.

Step 3

Exam Tip

Always consider possible cancellation before deciding. चरण 1: सांत दशमलव के लिए सरलतम रूप में हर में केवल (2) और (5) होने चाहिए। चरण 2: विकल्प (D) में हर में (3) है और \(\frac{25}{2^2\cdot 3\cdot 5}\) को सरल करने पर भी (3) बचता है। इसलिए यह सांत नहीं होगा। चरण 3: विकल्प देखने से पहले संभावित कटौती भी सोचें।

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