Concept-wise Practice

inconsistent equations MCQ Questions for Class 10

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

Practice Questions

11 questions tagged with inconsistent equations.

समीकरणों (4x+7y=31) और (8x+14y=65) के बारे में सही कथन क्या है?

Which statement is correct about (4x+7y=31) and (8x+14y=65)?

Explanation opens after your attempt
Correct Answer

A. कोई हल नहीं हैThere is no solution

Step 1

Concept

Twice the first equation is (8x+14y=62), but the second is (8x+14y=65). Therefore there is no solution.

Step 2

Why this answer is correct

The correct answer is A. कोई हल नहीं है / There is no solution. Twice the first equation is (8x+14y=62), but the second is (8x+14y=65). Therefore there is no solution.

Step 3

Exam Tip

पहले समीकरण का (2) गुना (8x+14y=62) है, लेकिन दूसरा (8x+14y=65) है। इसलिए कोई हल नहीं।

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समीकरणों (3x+5y=20) और (6x+10y=43) के बारे में सही कथन क्या है?

Which statement is correct about (3x+5y=20) and (6x+10y=43)?

Explanation opens after your attempt
Correct Answer

C. कोई हल नहीं हैThere is no solution

Step 1

Concept

Twice the first equation is (6x+10y=40), but the second is (6x+10y=43). Therefore there is no solution.

Step 2

Why this answer is correct

The correct answer is C. कोई हल नहीं है / There is no solution. Twice the first equation is (6x+10y=40), but the second is (6x+10y=43). Therefore there is no solution.

Step 3

Exam Tip

पहले समीकरण का (2) गुना (6x+10y=40) है, लेकिन दूसरा (6x+10y=43) है। इसलिए कोई हल नहीं है।

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समीकरणों (2x+3y=11) और (4x+6y=21) के बारे में सही कथन क्या है?

Which statement is correct about (2x+3y=11) and (4x+6y=21)?

Explanation opens after your attempt
Correct Answer

C. कोई हल नहीं हैThere is no solution

Step 1

Concept

Twice the first equation is (4x+6y=22), but the second is (4x+6y=21). Therefore there is no solution.

Step 2

Why this answer is correct

The correct answer is C. कोई हल नहीं है / There is no solution. Twice the first equation is (4x+6y=22), but the second is (4x+6y=21). Therefore there is no solution.

Step 3

Exam Tip

पहले समीकरण का (2) गुना (4x+6y=22) है, लेकिन दूसरा (4x+6y=21) है। इसलिए कोई हल नहीं है।

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समीकरणों (3x+4y=10) और (6x+8y=21) के बारे में सही कथन क्या है?

Which statement is correct about (3x+4y=10) and (6x+8y=21)?

Explanation opens after your attempt
Correct Answer

A. कोई हल नहीं हैThere is no solution

Step 1

Concept

Twice the first equation is (6x+8y=20), but the second is (6x+8y=21). Therefore there is no solution.

Step 2

Why this answer is correct

The correct answer is A. कोई हल नहीं है / There is no solution. Twice the first equation is (6x+8y=20), but the second is (6x+8y=21). Therefore there is no solution.

Step 3

Exam Tip

पहले समीकरण का (2) गुना (6x+8y=20) है, लेकिन दूसरा (6x+8y=21) है। इसलिए कोई हल नहीं है।

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यदि (6x-9y=12) और (2x-3y=5), तो सही कथन कौन-सा है?

If (6x-9y=12) and (2x-3y=5), which statement is correct?

Explanation opens after your attempt
Correct Answer

B. कोई हल नहीं हैThere is no solution

Step 1

Concept

The first equation becomes (2x-3y=4), but the second is (2x-3y=5). Therefore there is no solution.

Step 2

Why this answer is correct

The correct answer is B. कोई हल नहीं है / There is no solution. The first equation becomes (2x-3y=4), but the second is (2x-3y=5). Therefore there is no solution.

Step 3

Exam Tip

पहला समीकरण (2x-3y=4) बनता है, लेकिन दूसरा (2x-3y=5) है। इसलिए कोई हल नहीं है।

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समीकरणों (2x+3y=12) और (4x+6y=25) के बारे में सही कथन क्या है?

Which statement is correct about (2x+3y=12) and (4x+6y=25)?

Explanation opens after your attempt
Correct Answer

A. कोई हल नहीं हैThere is no solution

Step 1

Concept

Twice the first equation is (4x+6y=24), but the second is (4x+6y=25). Therefore there is no solution.

Step 2

Why this answer is correct

The correct answer is A. कोई हल नहीं है / There is no solution. Twice the first equation is (4x+6y=24), but the second is (4x+6y=25). Therefore there is no solution.

Step 3

Exam Tip

पहले समीकरण का (2) गुना (4x+6y=24) है, लेकिन दूसरा (4x+6y=25) है। इसलिए कोई हल नहीं है।

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समीकरणों (4x+8y=20) और (x+2y=7) के लिए सही कथन कौन-सा है?

Which statement is correct for (4x+8y=20) and (x+2y=7)?

Explanation opens after your attempt
Correct Answer

B. कोई हल नहीं हैThere is no solution

Step 1

Concept

The first equation becomes (x+2y=5), while the second is (x+2y=7). Same left side with different right side gives no solution.

Step 2

Why this answer is correct

The correct answer is B. कोई हल नहीं है / There is no solution. The first equation becomes (x+2y=5), while the second is (x+2y=7). Same left side with different right side gives no solution.

Step 3

Exam Tip

पहला समीकरण (x+2y=5) बनता है, जबकि दूसरा (x+2y=7) है। समान बायां पक्ष और अलग दायां पक्ष होने से कोई हल नहीं है।

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यदि (6x+4y=40) और (3x+2y=22), तो हलों के बारे में क्या सही है?

If (6x+4y=40) and (3x+2y=22), what is true about the solutions?

Explanation opens after your attempt
Correct Answer

B. कोई हल नहीं हैNo solution

Step 1

Concept

The first equation becomes (3x+2y=20), but the second is (3x+2y=22). Therefore there is no solution.

Step 2

Why this answer is correct

The correct answer is B. कोई हल नहीं है / No solution. The first equation becomes (3x+2y=20), but the second is (3x+2y=22). Therefore there is no solution.

Step 3

Exam Tip

पहला समीकरण (3x+2y=20) बनता है, लेकिन दूसरा (3x+2y=22) है। इसलिए कोई हल नहीं है।

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समीकरणों (2x+3y=12) और (4x+6y=30) के लिए सही कथन कौन-सा है?

Which statement is correct for (2x+3y=12) and (4x+6y=30)?

Explanation opens after your attempt
Correct Answer

B. कोई हल नहीं हैThere is no solution

Step 1

Concept

Twice the first equation is (4x+6y=24), but the second is (4x+6y=30). Same left side with different constants means no solution.

Step 2

Why this answer is correct

The correct answer is B. कोई हल नहीं है / There is no solution. Twice the first equation is (4x+6y=24), but the second is (4x+6y=30). Same left side with different constants means no solution.

Step 3

Exam Tip

पहले समीकरण का (2) गुना (4x+6y=24) है, लेकिन दूसरा (4x+6y=30) है। समान बायां पक्ष और अलग स्थिरांक होने से कोई हल नहीं है।

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यदि (3x+6y=18) और (x+2y=8), तो हल के बारे में सही कथन क्या है?

If (3x+6y=18) and (x+2y=8), which statement about the solution is correct?

Explanation opens after your attempt
Correct Answer

B. कोई हल नहीं हैThere is no solution

Step 1

Concept

The first equation becomes (x+2y=6), while the second is (x+2y=8). Same left side with different right side gives no solution.

Step 2

Why this answer is correct

The correct answer is B. कोई हल नहीं है / There is no solution. The first equation becomes (x+2y=6), while the second is (x+2y=8). Same left side with different right side gives no solution.

Step 3

Exam Tip

पहला समीकरण (x+2y=6) बनता है, जबकि दूसरा (x+2y=8) है। समान बायां पक्ष और अलग दायां पक्ष होने से कोई हल नहीं है।

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समीकरण (3x-2y=8) और (6x-4y=20) के लिए कौन-सा कथन सही है?

Which statement is correct for (3x-2y=8) and (6x-4y=20)?

Explanation opens after your attempt
Correct Answer

C. कोई हल नहीं हैIt has no solution

Step 1

Concept

Multiplying the first equation by (2) gives the same left side but constant (16). Since it conflicts with (20), there is no solution.

Step 2

Why this answer is correct

The correct answer is C. कोई हल नहीं है / It has no solution. Multiplying the first equation by (2) gives the same left side but constant (16). Since it conflicts with (20), there is no solution.

Step 3

Exam Tip

पहले समीकरण को (2) से गुणा करने पर बायाँ पक्ष समान बनता है लेकिन स्थिर पद (16) होता है। (20) से विरोधाभास होने के कारण कोई हल नहीं है।

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