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denominator-test MCQ Questions for Class 10

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33 questions tagged with denominator-test.

Question 31/33 Easy Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 21

\(\frac{11}{30}\) के दशमलव प्रसार के बारे में सही विकल्प चुनिए।

Choose the correct option about the decimal expansion of \(\frac{11}{30}\).

Explanation opens after your attempt
Correct Answer

B. असमाप्त आवर्तीNon-terminating recurring

Step 1

Concept

\(\frac{11}{30}\) is in lowest form.

Step 2

Why this answer is correct

\(30=2\times3\times5\), and the denominator contains (3).

Step 3

Exam Tip

Exam tip: Even if (2) and (5) are present, an extra factor (3) prevents termination. चरण 1: \(\frac{11}{30}\) सबसे सरल रूप में है। चरण 2: \(30=2\times3\times5\), और हर में (3) है। चरण 3: परीक्षा सुझाव: (2) और (5) के साथ (3) भी हो तो दशमलव समाप्त नहीं होगा।

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Question 32/33 Easy Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 21

किस हर वाली सरल भिन्न का दशमलव प्रसार निश्चित रूप से समाप्त होगा?

A fraction in lowest form with which denominator will surely have a terminating decimal expansion?

Explanation opens after your attempt
Correct Answer

C. (100)

Step 1

Concept

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

Step 2

Why this answer is correct

\(100=2^2\times5^2\), so it is suitable.

Step 3

Exam Tip

Exam tip: Denominators like (10), (100), and (1000) give terminating decimals. चरण 1: समाप्त दशमलव के लिए हर में केवल (2) और (5) होने चाहिए। चरण 2: \(100=2^2\times5^2\), इसलिए यह हर उपयुक्त है। चरण 3: परीक्षा सुझाव: (10), (100), (1000) जैसे हर समाप्त दशमलव देते हैं।

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Question 33/33 Easy Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 21

\(\frac{5}{12}\) का दशमलव प्रसार असमाप्त आवर्ती क्यों है?

Why is the decimal expansion of \(\frac{5}{12}\) non-terminating recurring?

Explanation opens after your attempt
Correct Answer

A. क्योंकि (12) में (3) गुणनखंड हैBecause (12) has factor (3)

Step 1

Concept

\(\frac{5}{12}\) is already in lowest form.

Step 2

Why this answer is correct

\(12=2^2\times3\), and the factor (3) prevents termination.

Step 3

Exam Tip

Exam tip: A factor other than (2) or (5) gives a recurring decimal. चरण 1: \(\frac{5}{12}\) सबसे सरल रूप में है। चरण 2: \(12=2^2\times3\), और हर में (3) होने से दशमलव समाप्त नहीं होगा। चरण 3: परीक्षा सुझाव: (2) और (5) के अलावा कोई गुणनखंड हो तो आवर्ती दशमलव मिलता है।

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