Concept-wise Practice

middle step MCQ Questions for Class 10

middle step 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 middle step.

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

कौन सा कथन \(\sqrt{5}\) की अपरिमेयता के प्रमाण में सही मध्य चरण है?

Which statement is a correct middle step in the proof of irrationality of \(\sqrt{5}\)?

Explanation opens after your attempt
Correct Answer

A. \(p^2=5q^2\) से (p) (5) से विभाज्य हैFrom \(p^2=5q^2\), (p) is divisible by (5)

Step 1

Concept

From \(p^2=5q^2\), \(p^2\) is divisible by (5).

Step 2

Why this answer is correct

Since (5) is prime, (p) is also divisible by (5).

Step 3

Exam Tip

This is the basis for writing (p=5k). चरण 1: \(p^2=5q^2\) से \(p^2\) (5) से विभाज्य है। चरण 2: (5) अभाज्य है, इसलिए (p) भी (5) से विभाज्य है। चरण 3: यही आगे (p=5k) लिखने का आधार है।

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

कौन सा विकल्प \(\sqrt{5}\) के प्रमाण में सही मध्य चरण है?

Which option is a correct middle step in the proof of \(\sqrt{5}\)?

Explanation opens after your attempt
Correct Answer

A. \(a^2=5b^2\) से (a) (5) से विभाज्य हैFrom \(a^2=5b^2\), (a) is divisible by (5)

Step 1

Concept

From \(a^2=5b^2\), \(a^2\) is divisible by (5).

Step 2

Why this answer is correct

Since (5) is prime, (a) is also divisible by (5).

Step 3

Exam Tip

This is the correct middle step, not directly (a=5b). चरण 1: \(a^2=5b^2\) से \(a^2\) (5) से विभाज्य है। चरण 2: (5) अभाज्य है, इसलिए (a) भी (5) से विभाज्य है। चरण 3: यही सही मध्य चरण है, सीधे (a=5b) नहीं।

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