Concept-wise Practice

coprime condition MCQ Questions for Class 10

coprime condition 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 coprime condition.

Question 1/2 Hard Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 17

\(\sqrt{5}\) की सिद्धि में (p=5k) और (q=5r) मिलने पर कौन सी आरंभिक शर्त टूटती है?

In the proof of \(\sqrt{5}\), if (p=5k) and (q=5r) are obtained, which initial condition breaks?

Explanation opens after your attempt
Correct Answer

A. (p) और (q) सहअभाज्य हैं(p) and (q) are coprime

Step 1

Concept

(p=5k) and (q=5r) show factor (5) in both (p) and (q).

Step 2

Why this answer is correct

So they cannot be coprime.

Step 3

Exam Tip

This breaks the initial lowest-form condition. चरण 1: (p=5k) और (q=5r) से (p) और (q) दोनों में (5) गुणनखंड है। चरण 2: इसलिए वे सहअभाज्य नहीं हो सकते। चरण 3: यह आरंभिक सरलतम रूप की शर्त को तोड़ता है।

Open Question Page
Ask Friends
Question 2/2 Easy Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 18

कौन सा विकल्प \(\sqrt{2}\) के प्रमाण में सहअभाज्य शर्त टूटने को सही दिखाता है?

Which option correctly shows the breaking of the coprime condition in the proof of \(\sqrt{2}\)?

Explanation opens after your attempt
Correct Answer

A. (p=2m) और (q=2n) मिलनाGetting (p=2m) and (q=2n)

Step 1

Concept

(p=2m) and (q=2n) mean both are divisible by (2).

Step 2

Why this answer is correct

Then (2) becomes their common factor.

Step 3

Exam Tip

A lowest-form fraction should not have such a common factor. चरण 1: (p=2m) और (q=2n) का अर्थ है कि दोनों (2) से विभाज्य हैं। चरण 2: तब (2) उनका साझा गुणनखंड बन जाता है। चरण 3: सरलतम भिन्न में ऐसा साझा गुणनखंड नहीं होना चाहिए।

Open Question Page
Ask Friends
Student Class Required

Select your class first

Quiz questions, daily challenge and practice pages will open according to your selected class. Class 11/12 ke liye stream bhi select karein.