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variable-numerator MCQ Questions for Class 10

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2 questions tagged with variable-numerator.

Question 1/2 Medium Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 19

यदि \(\frac{n}{36}\) सबसे सरल रूप में है और (n) का (36) से कोई सामान्य गुणनखंड नहीं है, तो दशमलव प्रसार कैसा होगा?

If \(\frac{n}{36}\) is in lowest form and (n) has no common factor with (36), what type of decimal expansion will it have?

Explanation opens after your attempt
Correct Answer

B. असमाप्त आवर्तीNon-terminating recurring

Step 1

Concept

\(36=2^2\times3^2\).

Step 2

Why this answer is correct

Since the fraction is in lowest form, \(3^2\) remains in the denominator.

Step 3

Exam Tip

Exam tip: If factor (3) remains in the reduced denominator, the decimal does not terminate. चरण 1: \(36=2^2\times3^2\) है। चरण 2: भिन्न सबसे सरल रूप में है, इसलिए हर में \(3^2\) बचा रहेगा। चरण 3: परीक्षा सुझाव: सरल रूप में (3) बचने पर दशमलव समाप्त नहीं होता।

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

यदि \(\frac{a}{40}\) सबसे सरल रूप में है, तो दशमलव प्रसार अधिकतम कितने स्थानों पर समाप्त हो सकता है?

If \(\frac{a}{40}\) is in lowest form, after at most how many decimal places can its decimal expansion terminate?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

\(40=2^3\times5\).

Step 2

Why this answer is correct

The larger exponent is (3), so there can be at most (3) decimal places.

Step 3

Exam Tip

Exam tip: Whatever (a) is, the denominator in lowest form decides the decimal places. चरण 1: \(40=2^3\times5\) है। चरण 2: हर में (2) की बड़ी घात (3) है, इसलिए अधिकतम (3) स्थान होंगे। चरण 3: परीक्षा सुझाव: अंश (a) चाहे जो हो, न्यूनतम रूप में हर ही दशमलव स्थान तय करता है।

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