Concept-wise Practice

divisors MCQ Questions for Class 10

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

Practice Questions

4 questions tagged with divisors.

यदि \(\frac{p}{q}\) सरलतम रूप में है और (q), \(10^{10}\) का भाजक है लेकिन \(10^8\) का भाजक नहीं है तो दशमलव स्थानों के बारे में क्या निश्चित है?

If \(\frac{p}{q}\) is in lowest form and (q) divides \(10^{10}\) but does not divide \(10^8\), what is certain about its decimal places?

Explanation opens after your attempt
Correct Answer

B. ठीक (9) या (10) स्थानExactly (9) or (10) places

Step 1

Concept

Since (q) has only (2) and (5), the decimal terminates. Not dividing \(10^8\) means the larger exponent is (9) or (10).

Step 2

Why this answer is correct

The correct answer is B. ठीक (9) या (10) स्थान / Exactly (9) or (10) places. Since (q) has only (2) and (5), the decimal terminates. Not dividing \(10^8\) means the larger exponent is (9) or (10).

Step 3

Exam Tip

(q) में केवल (2) और (5) होंगे इसलिए दशमलव सांत है। \(10^8\) का भाजक न होने से बड़ी घात (9) या (10) होगी।

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यदि \(\frac{p}{q}\) सरलतम रूप में है, (q), \(10^6\) का भाजक है लेकिन \(10^5\) का भाजक नहीं है, तो दशमलव प्रसार के बारे में क्या निश्चित है?

If \(\frac{p}{q}\) is in lowest form, (q) divides \(10^6\) but does not divide \(10^5\), what is certain about the decimal expansion?

Explanation opens after your attempt
Correct Answer

B. ठीक (6) स्थानों पर समाप्तTerminates exactly after (6) places

Step 1

Concept

Since (q) divides \(10^6\), it has only (2) and (5), but not dividing \(10^5\) means the larger exponent is (6). Therefore the decimal terminates exactly after (6) places.

Step 2

Why this answer is correct

The correct answer is B. ठीक (6) स्थानों पर समाप्त / Terminates exactly after (6) places. Since (q) divides \(10^6\), it has only (2) and (5), but not dividing \(10^5\) means the larger exponent is (6). Therefore the decimal terminates exactly after (6) places.

Step 3

Exam Tip

(q) \(10^6\) का भाजक है इसलिए उसमें केवल (2) और (5) हैं, पर \(10^5\) का भाजक न होने से बड़ी घात (6) है। इसलिए दशमलव ठीक (6) स्थानों पर समाप्त होगा।

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यदि \(\frac{p}{q}\) सरलतम रूप में है और (q), \(10^9\) का भाजक है लेकिन \(10^7\) का भाजक नहीं है तो दशमलव स्थानों के बारे में क्या निश्चित है?

If \(\frac{p}{q}\) is in lowest form and (q) divides \(10^9\) but does not divide \(10^7\), what is certain about its decimal places?

Explanation opens after your attempt
Correct Answer

B. ठीक (8) या (9) स्थानExactly (8) or (9) places

Step 1

Concept

Since (q) has only (2) and (5), the decimal terminates. Not dividing \(10^7\) means the larger exponent is (8) or (9).

Step 2

Why this answer is correct

The correct answer is B. ठीक (8) या (9) स्थान / Exactly (8) or (9) places. Since (q) has only (2) and (5), the decimal terminates. Not dividing \(10^7\) means the larger exponent is (8) or (9).

Step 3

Exam Tip

(q) में केवल (2) और (5) होंगे इसलिए दशमलव सांत है। \(10^7\) का भाजक न होने से बड़ी घात (8) या (9) होगी।

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यदि \(\frac{p}{q}\) सरलतम रूप में है और (q), \(10^8\) का भाजक है लेकिन \(10^6\) का भाजक नहीं है, तो दशमलव स्थानों के बारे में निश्चित क्या कहा जा सकता है?

If \(\frac{p}{q}\) is in lowest form and (q) divides \(10^8\) but does not divide \(10^6\), what is certain about its decimal places?

Explanation opens after your attempt
Correct Answer

B. ठीक (7) या (8) स्थानExactly (7) or (8) places

Step 1

Concept

Since (q) has only (2) and (5), the decimal terminates. Not dividing \(10^6\) means the larger exponent is (7) or (8).

Step 2

Why this answer is correct

The correct answer is B. ठीक (7) या (8) स्थान / Exactly (7) or (8) places. Since (q) has only (2) and (5), the decimal terminates. Not dividing \(10^6\) means the larger exponent is (7) or (8).

Step 3

Exam Tip

(q) में केवल (2) और (5) हैं, इसलिए दशमलव सांत है। \(10^6\) का भाजक न होने से बड़ी घात (7) या (8) होगी।

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