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closure MCQ Questions for Class 10

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

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4 questions tagged with closure.

Question 1/4 Easy Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 26

यदि (m) और (n) परिमेय संख्याएँ हैं तो \(m\times n\) किस प्रकार की संख्या होगी?

If (m) and (n) are rational numbers then what type of number will \(m\times n\) be?

Explanation opens after your attempt
Correct Answer

A. परिमेय संख्याRational number

Step 1

Concept

The product of two rational numbers is rational. But the result is not always an integer.

Step 2

Why this answer is correct

The correct answer is A. परिमेय संख्या / Rational number. The product of two rational numbers is rational. But the result is not always an integer.

Step 3

Exam Tip

दो परिमेय संख्याओं का गुणनफल परिमेय होता है। लेकिन परिणाम हमेशा पूर्णांक नहीं होता।

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Question 2/4 Easy Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 26

यदि (m) और (n) परिमेय संख्याएँ हैं तो (m+n) किस प्रकार की संख्या होगी?

If (m) and (n) are rational numbers then what type of number will (m+n) be?

Explanation opens after your attempt
Correct Answer

A. परिमेय संख्याRational number

Step 1

Concept

The sum of two rational numbers is rational. This is called closure of rational numbers.

Step 2

Why this answer is correct

The correct answer is A. परिमेय संख्या / Rational number. The sum of two rational numbers is rational. This is called closure of rational numbers.

Step 3

Exam Tip

दो परिमेय संख्याओं का योग परिमेय होता है। इसे परिमेय संख्याओं की बंदता कहा जाता है।

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Question 3/4 Expert Mathematics Real Numbers Irrational numbers Class 10 Level 14

किस विकल्प में दिया गया कथन सही है?

Which given statement is correct?

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Correct Answer

C. अशून्य परिमेय संख्या से अपरिमेय संख्या को गुणा करने पर परिणाम अपरिमेय होता हैMultiplying an irrational number by a non-zero rational number gives an irrational number

Step 1

Concept

A non-zero rational multiplier does not remove irrationality.

Step 2

Why this answer is correct

If the product were rational, the irrational number would become rational, a contradiction.

Step 3

Exam Tip

Be careful with universal statements about two irrational numbers. चरण 1: अशून्य परिमेय गुणक अपरिमेयता को समाप्त नहीं करता। चरण 2: यदि परिणाम परिमेय मानें, तो अपरिमेय संख्या परिमेय बन जाएगी, जो विरोध है। चरण 3: दो अपरिमेय संख्याओं वाले हमेशा वाले कथनों से सावधान रहें।

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Question 4/4 Hard Mathematics Real Numbers Irrational numbers Class 10 Level 14

यदि (r) परिमेय और (s) अपरिमेय है, तो (r-s) कब अपरिमेय होगा?

If (r) is rational and (s) is irrational, when will (r-s) be irrational?

Explanation opens after your attempt
Correct Answer

A. हमेशाAlways

Step 1

Concept

A rational number minus an irrational number is irrational.

Step 2

Why this answer is correct

If (r-s) were rational, then (s=r-(r-s)) would be rational, which is impossible.

Step 3

Exam Tip

Use the same reasoning for subtraction as for addition. चरण 1: परिमेय संख्या में से अपरिमेय संख्या घटाने पर परिणाम अपरिमेय रहता है। चरण 2: यदि (r-s) परिमेय हो, तो (s=r-(r-s)) परिमेय हो जाएगा, जो असंभव है। चरण 3: घटाव में भी वही सोच रखें जो योग में रखते हैं।

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