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denominator-analysis MCQ Questions for Class 10

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4 questions tagged with denominator-analysis.

Question 1/4 Expert Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 21

\(\frac{1}{2^3\cdot 5^4\cdot 19^2}\) के दशमलव में आवर्ती भाग से पहले कितने अनावर्ती अंक आएँगे?

In the decimal expansion of \(\frac{1}{2^3\cdot 5^4\cdot 19^2}\), how many non-repeating digits appear before the recurring part?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

Since \(19^2\) remains, the decimal is non-terminating recurring, and the larger exponent among (2) and (5) is (4). In such questions, separate recurrence from the initial delay.

Step 2

Why this answer is correct

The correct answer is B. (4). Since \(19^2\) remains, the decimal is non-terminating recurring, and the larger exponent among (2) and (5) is (4). In such questions, separate recurrence from the initial delay.

Step 3

Exam Tip

\(19^2\) बचने से दशमलव असांत आवर्ती होगा और (2), (5) की बड़ी घात (4) आरंभिक अनावर्ती भाग देगी। ऐसे प्रश्न में आवर्तीपन और आरंभिक देरी अलग-अलग देखें।

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Question 2/4 Expert Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 21

\(\frac{1}{2^7\cdot 5^3\cdot 41}\) के दशमलव में आवर्ती भाग से पहले कितने अनावर्ती अंक होंगे?

In the decimal expansion of \(\frac{1}{2^7\cdot 5^3\cdot 41}\), how many non-repeating digits appear before the recurring part?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

The factor (41) makes the decimal recurring, and the larger exponent of (2) and (5) is (7), giving the non-repeating start. In mixed denominators, the larger exponent gives the delay.

Step 2

Why this answer is correct

The correct answer is C. (7). The factor (41) makes the decimal recurring, and the larger exponent of (2) and (5) is (7), giving the non-repeating start. In mixed denominators, the larger exponent gives the delay.

Step 3

Exam Tip

(41) के कारण दशमलव आवर्ती होगा और (2), (5) की बड़ी घात (7) अनावर्ती आरंभ देगी। मिश्रित हर में बड़ी घात से देरी मिलती है।

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Question 3/4 Expert Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 20

\(\frac{1}{2^6\cdot 5^2\cdot 31}\) के दशमलव में आवर्ती भाग से पहले कितने अनावर्ती अंक होंगे?

In the decimal expansion of \(\frac{1}{2^6\cdot 5^2\cdot 31}\), how many non-repeating digits appear before the recurring part?

Explanation opens after your attempt
Correct Answer

C. (6)

Step 1

Concept

The factor (31) makes the decimal recurring, and the larger exponent of (2) and (5) is (6), giving the non-repeating start. In mixed denominators, the larger exponent gives the delay.

Step 2

Why this answer is correct

The correct answer is C. (6). The factor (31) makes the decimal recurring, and the larger exponent of (2) and (5) is (6), giving the non-repeating start. In mixed denominators, the larger exponent gives the delay.

Step 3

Exam Tip

(31) के कारण दशमलव आवर्ती होगा और (2), (5) की बड़ी घात (6) अनावर्ती आरंभ देगी। मिश्रित हर में बड़ी घात से देरी मिलती है।

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Question 4/4 Expert Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 19

\(\frac{1}{2^4\cdot 5^3\cdot 37}\) के दशमलव में आवर्ती भाग से पहले कितने अनावर्ती अंक होंगे?

In the decimal expansion of \(\frac{1}{2^4\cdot 5^3\cdot 37}\), how many non-repeating digits appear before the recurring part?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

The factor (37) makes the decimal recurring, and the larger exponent of (2) and (5) is (4), giving the non-repeating start. In mixed denominators, the larger exponent gives the delay.

Step 2

Why this answer is correct

The correct answer is B. (4). The factor (37) makes the decimal recurring, and the larger exponent of (2) and (5) is (4), giving the non-repeating start. In mixed denominators, the larger exponent gives the delay.

Step 3

Exam Tip

(37) के कारण दशमलव आवर्ती होगा और (2), (5) की बड़ी घात (4) अनावर्ती आरंभ देगी। ऐसे मिश्रित हर में बड़ी घात से देरी मिलती है।

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