Concept-wise Practice

fraction form MCQ Questions for Class 10

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

Practice Questions

2 questions tagged with fraction form.

Question 1/2 Hard Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 18

यदि \(\sqrt{2}\) परिमेय होती, तो किस कारण से उसका रूप \(\frac{p}{q}\) अंत में अस्वीकार हो जाता?

If \(\sqrt{2}\) were rational, why would its form \(\frac{p}{q}\) finally be rejected?

Explanation opens after your attempt
Correct Answer

A. क्योंकि (p) और (q) दोनों में (2) साझा गुणनखंड आ जाता हैBecause (p) and (q) get (2) as a common factor

Step 1

Concept

\(\frac{p}{q}\) was taken in lowest form.

Step 2

Why this answer is correct

The proof shows that both (p) and (q) are divisible by (2).

Step 3

Exam Tip

So the form is no longer lowest, and the assumption fails. चरण 1: \(\frac{p}{q}\) को सरलतम रूप में लिया गया था। चरण 2: प्रमाण में (p) और (q) दोनों (2) से विभाज्य निकलते हैं। चरण 3: इसलिए वह रूप सरलतम नहीं रहता और मान्यता टूट जाती है।

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Question 2/2 Hard Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 16

यदि \(\sqrt{3}\) की सिद्धि में (p) और (q) दोनों (3) से विभाज्य मिलते हैं, तो \(\frac{p}{q}\) के बारे में कौन सा कथन सही है?

If in the proof of \(\sqrt{3}\), both (p) and (q) are found divisible by (3), which statement about \(\frac{p}{q}\) is correct?

Explanation opens after your attempt
Correct Answer

A. यह सरलतम रूप में नहीं हो सकतीIt cannot be in lowest form

Step 1

Concept

If both are divisible by (3), numerator and denominator have common factor (3).

Step 2

Why this answer is correct

Such a fraction can be reduced further by (3).

Step 3

Exam Tip

Hence it cannot be in lowest form. चरण 1: दोनों (3) से विभाज्य हैं तो अंश और हर में (3) साझा गुणनखंड है। चरण 2: ऐसी भिन्न को (3) से और सरल किया जा सकता है। चरण 3: इसलिए यह सरलतम रूप में नहीं हो सकती।

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