Concept-wise Practice

rational-irrational-difference MCQ Questions for Class 10

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Practice Questions

2 questions tagged with rational-irrational-difference.

यदि (p) परिमेय है और (q) अपरिमेय है, तो (q-p) कैसी संख्या होगी?

If (p) is rational and (q) is irrational, what type of number is (q-p)?

Explanation opens after your attempt
Correct Answer

B. हमेशा अपरिमेयAlways irrational

Step 1

Concept

Subtracting a rational number from an irrational number leaves an irrational part.

Step 2

Why this answer is correct

If the result were rational, then (q=(q-p)+p) would be rational, which is impossible.

Step 3

Exam Tip

Remember the rules for addition and subtraction of rational and irrational numbers. चरण 1: अपरिमेय संख्या में से परिमेय संख्या घटाने पर अपरिमेय भाग बचता है। चरण 2: यदि परिणाम परिमेय हो, तो (q=(q-p)+p) परिमेय हो जाएगा, जो गलत है। चरण 3: परिमेय और अपरिमेय के जोड़-घटाव के नियम याद रखें।

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यदि (p) परिमेय है और (q) अपरिमेय है, तो (p-q) कैसी संख्या होगी?

If (p) is rational and (q) is irrational, what type of number is (p-q)?

Explanation opens after your attempt
Correct Answer

B. हमेशा अपरिमेयAlways irrational

Step 1

Concept

Subtracting an irrational number from a rational number leaves an irrational part.

Step 2

Why this answer is correct

If the result were rational, then (q=p-(p-q)) would be rational, which is impossible.

Step 3

Exam Tip

Remember the rules for addition and subtraction of rational and irrational numbers. चरण 1: परिमेय संख्या में से अपरिमेय संख्या घटाने पर अपरिमेय भाग बचता है। चरण 2: यदि परिणाम परिमेय हो, तो (q=p-(p-q)) परिमेय हो जाएगा, जो गलत है। चरण 3: परिमेय और अपरिमेय के जोड़-घटाव के नियम याद रखें।

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