Class 10 Mathematics Easy Quiz

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समीकरणों (x+y=5) और (x-y=1) का हल क्या है?

What is the solution of the equations (x+y=5) and (x-y=1)?

Explanation opens after your attempt
Correct Answer

A. (x=3,\ y=2)

Step 1

Concept

Adding both equations gives (2x=6), so (x=3) and (y=2). In exams, add first when one variable cancels easily.

Step 2

Why this answer is correct

The correct answer is A. (x=3,\ y=2). Adding both equations gives (2x=6), so (x=3) and (y=2). In exams, add first when one variable cancels easily.

Step 3

Exam Tip

दोनों समीकरण जोड़ने पर (2x=6), इसलिए (x=3) और (y=2)। परीक्षा में पहले जोड़कर आसान चर निकालें।

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समीकरणों (2x+y=7) और (x=2) में (y) का मान क्या है?

In the equations (2x+y=7) and (x=2), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

C. (y=3)

Step 1

Concept

Putting (x=2) gives (4+y=7), so (y=3). In substitution, place the given value directly.

Step 2

Why this answer is correct

The correct answer is C. (y=3). Putting (x=2) gives (4+y=7), so (y=3). In substitution, place the given value directly.

Step 3

Exam Tip

(x=2) रखने पर (4+y=7), इसलिए (y=3)। प्रतिस्थापन विधि में दिए मान को सीधे रखें।

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यदि (y=x+1) और (x+y=7), तो (x) और (y) के मान क्या होंगे?

If (y=x+1) and (x+y=7), what are the values of (x) and (y)?

Explanation opens after your attempt
Correct Answer

B. (x=3,\ y=4)

Step 1

Concept

Substituting (y=x+1) in (x+y=7) gives (2x+1=7), so (x=3) and (y=4). Use the already isolated variable in exams.

Step 2

Why this answer is correct

The correct answer is B. (x=3,\ y=4). Substituting (y=x+1) in (x+y=7) gives (2x+1=7), so (x=3) and (y=4). Use the already isolated variable in exams.

Step 3

Exam Tip

(y=x+1) को (x+y=7) में रखने पर (2x+1=7), इसलिए (x=3) और (y=4)। परीक्षा में बने हुए रूप का उपयोग करें।

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समीकरणों (3x+y=11) और (x+y=5) को विलोपन विधि से हल करने पर (x) का मान क्या है?

Using elimination method for (3x+y=11) and (x+y=5), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (x=3)

Step 1

Concept

Subtracting the second equation from the first gives (2x=6), so (x=3). Subtract equal like terms when their signs are the same.

Step 2

Why this answer is correct

The correct answer is C. (x=3). Subtracting the second equation from the first gives (2x=6), so (x=3). Subtract equal like terms when their signs are the same.

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (2x=6), इसलिए (x=3)। समान चिन्ह वाले समान चर को घटाना उपयोगी होता है।

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यदि (x-y=4) और (x+y=10), तो (y) का मान क्या होगा?

If (x-y=4) and (x+y=10), what will be the value of (y)?

Explanation opens after your attempt
Correct Answer

B. (y=3)

Step 1

Concept

Adding both equations gives (2x=14), so (x=7) and (y=3). After finding one variable, substitute it in any equation.

Step 2

Why this answer is correct

The correct answer is B. (y=3). Adding both equations gives (2x=14), so (x=7) and (y=3). After finding one variable, substitute it in any equation.

Step 3

Exam Tip

दोनों समीकरण जोड़ने पर (2x=14), इसलिए (x=7) और (y=3)। एक चर मिलने के बाद उसे किसी भी समीकरण में रखें।

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समीकरणों (2x-y=1) और (x+y=8) का हल कौन-सा है?

Which is the solution of (2x-y=1) and (x+y=8)?

Explanation opens after your attempt
Correct Answer

D. (x=3,\ y=5)

Step 1

Concept

Adding both equations gives (3x=9), so (x=3) and (y=5). Variables with opposite signs cancel quickly in elimination.

Step 2

Why this answer is correct

The correct answer is D. (x=3,\ y=5). Adding both equations gives (3x=9), so (x=3) and (y=5). Variables with opposite signs cancel quickly in elimination.

Step 3

Exam Tip

दोनों समीकरण जोड़ने पर (3x=9), इसलिए (x=3) और (y=5)। विपरीत चिन्ह वाले चर विलोपन में जल्दी कटते हैं।

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यदि (x=2y) और (x+y=9), तो (x) का मान क्या है?

If (x=2y) and (x+y=9), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

B. (x=6)

Step 1

Concept

Using (x=2y) gives (2y+y=9), so (y=3) and (x=6). In substitution, form an equation in one variable.

Step 2

Why this answer is correct

The correct answer is B. (x=6). Using (x=2y) gives (2y+y=9), so (y=3) and (x=6). In substitution, form an equation in one variable.

Step 3

Exam Tip

(x=2y) रखने पर (2y+y=9), इसलिए (y=3) और (x=6)। प्रतिस्थापन में एक ही चर वाला समीकरण बनाइए।

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यदि (y=3x) और (x+y=8), तो हल क्या है?

If (y=3x) and (x+y=8), what is the solution?

Explanation opens after your attempt
Correct Answer

A. (x=2,\ y=6)

Step 1

Concept

Substituting (y=3x) gives (4x=8), so (x=2) and (y=6). Substitution is easiest when one variable is already expressed as a multiple.

Step 2

Why this answer is correct

The correct answer is A. (x=2,\ y=6). Substituting (y=3x) gives (4x=8), so (x=2) and (y=6). Substitution is easiest when one variable is already expressed as a multiple.

Step 3

Exam Tip

(y=3x) को रखने पर (4x=8), इसलिए (x=2) और (y=6)। अनुपात वाले रूप में प्रतिस्थापन सबसे सरल होता है।

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समीकरणों (4x+y=14) और (x+y=5) से (x) का मान ज्ञात कीजिए।

Find the value of (x) from (4x+y=14) and (x+y=5).

Explanation opens after your attempt
Correct Answer

B. (x=3)

Step 1

Concept

Subtracting the second equation from the first gives (3x=9), so (x=3). Identify the common variable before subtracting.

Step 2

Why this answer is correct

The correct answer is B. (x=3). Subtracting the second equation from the first gives (3x=9), so (x=3). Identify the common variable before subtracting.

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (3x=9), इसलिए (x=3)। घटाने से पहले समान चर को पहचानें।

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यदि (x+2y=11) और (x-y=2), तो (x) और (y) का मान क्या है?

If (x+2y=11) and (x-y=2), what are the values of (x) and (y)?

Explanation opens after your attempt
Correct Answer

C. (x=5,\ y=3)

Step 1

Concept

From the second equation (x=y+2); substituting gives (3y+2=11), so (y=3) and (x=5). Substitute the isolated variable carefully.

Step 2

Why this answer is correct

The correct answer is C. (x=5,\ y=3). From the second equation (x=y+2); substituting gives (3y+2=11), so (y=3) and (x=5). Substitute the isolated variable carefully.

Step 3

Exam Tip

दूसरे समीकरण से (x=y+2); रखने पर (3y+2=11), इसलिए (y=3) और (x=5)। अलग किए हुए चर को ध्यान से रखें।

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समीकरणों (x+y=5) और (2x+3y=12) का हल क्या है?

What is the solution of (x+y=5) and (2x+3y=12)?

Explanation opens after your attempt
Correct Answer

B. (x=3,\ y=2)

Step 1

Concept

Using (x=5-y) gives (10-2y+3y=12), so (y=2) and (x=3). It is better to isolate a variable from the simpler equation.

Step 2

Why this answer is correct

The correct answer is B. (x=3,\ y=2). Using (x=5-y) gives (10-2y+3y=12), so (y=2) and (x=3). It is better to isolate a variable from the simpler equation.

Step 3

Exam Tip

(x=5-y) रखने पर (10-2y+3y=12), इसलिए (y=2) और (x=3)। सरल समीकरण से चर अलग करना बेहतर है।

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यदि (x+y=6) और (3x-y=6), तो (x) का मान क्या होगा?

If (x+y=6) and (3x-y=6), what will be the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (x=3)

Step 1

Concept

Adding the equations gives (4x=12), so (x=3). Remove (y) by adding when its signs are opposite.

Step 2

Why this answer is correct

The correct answer is C. (x=3). Adding the equations gives (4x=12), so (x=3). Remove (y) by adding when its signs are opposite.

Step 3

Exam Tip

दोनों समीकरण जोड़ने पर (4x=12), इसलिए (x=3)। विपरीत चिन्ह वाले (y) को जोड़कर हटाइए।

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समीकरणों (2x+y=9) और (x-y=3) में (y) का मान क्या है?

In the equations (2x+y=9) and (x-y=3), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

A. (y=1)

Step 1

Concept

Adding both equations gives (3x=12), so (x=4) and (y=1). Eliminate first, then find the other variable.

Step 2

Why this answer is correct

The correct answer is A. (y=1). Adding both equations gives (3x=12), so (x=4) and (y=1). Eliminate first, then find the other variable.

Step 3

Exam Tip

दोनों समीकरण जोड़ने पर (3x=12), इसलिए (x=4) और (y=1)। पहले आसान विलोपन करें फिर दूसरा चर निकालें।

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यदि (x=5-y) और (2x+y=8), तो (y) का मान क्या होगा?

If (x=5-y) and (2x+y=8), what will be the value of (y)?

Explanation opens after your attempt
Correct Answer

B. (y=2)

Step 1

Concept

Substituting (x=5-y) gives (10-2y+y=8), so (y=2). Be careful while simplifying negative signs.

Step 2

Why this answer is correct

The correct answer is B. (y=2). Substituting (x=5-y) gives (10-2y+y=8), so (y=2). Be careful while simplifying negative signs.

Step 3

Exam Tip

(x=5-y) रखने पर (10-2y+y=8), इसलिए (y=2)। ऋण चिन्हों को सरल करते समय सावधानी रखें।

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समीकरणों (5x-y=9) और (2x-y=3) से (x) का मान ज्ञात कीजिए।

Find the value of (x) from (5x-y=9) and (2x-y=3).

Explanation opens after your attempt
Correct Answer

B. (x=2)

Step 1

Concept

Subtracting the second equation from the first gives (3x=6), so (x=2). Equal (y) terms can be removed by subtraction.

Step 2

Why this answer is correct

The correct answer is B. (x=2). Subtracting the second equation from the first gives (3x=6), so (x=2). Equal (y) terms can be removed by subtraction.

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (3x=6), इसलिए (x=2)। समान (y) पदों को घटाकर हटाया जा सकता है।

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यदि (x+y=12) और (x=7), तो (y) का मान क्या है?

If (x+y=12) and (x=7), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

C. (y=5)

Step 1

Concept

Putting (x=7) gives (7+y=12), so (y=5). Use the given variable value directly.

Step 2

Why this answer is correct

The correct answer is C. (y=5). Putting (x=7) gives (7+y=12), so (y=5). Use the given variable value directly.

Step 3

Exam Tip

(x=7) रखने पर (7+y=12), इसलिए (y=5)। दिए हुए चर का मान सीधे प्रयोग करें।

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समीकरणों (x+3y=13) और (x+y=7) को हल करने पर (y) कितना होगा?

On solving (x+3y=13) and (x+y=7), what is (y)?

Explanation opens after your attempt
Correct Answer

B. (y=3)

Step 1

Concept

Subtracting the second equation from the first gives (2y=6), so (y=3). When (x) is equal, subtraction is easiest.

Step 2

Why this answer is correct

The correct answer is B. (y=3). Subtracting the second equation from the first gives (2y=6), so (y=3). When (x) is equal, subtraction is easiest.

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (2y=6), इसलिए (y=3)। समान (x) होने पर घटाना सबसे आसान है।

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यदि (2x+2y=16) और (x-y=2), तो सही हल कौन-सा है?

If (2x+2y=16) and (x-y=2), which is the correct solution?

Explanation opens after your attempt
Correct Answer

C. (x=5,\ y=3)

Step 1

Concept

The first equation becomes (x+y=8); adding it with (x-y=2) gives (2x=10). Simplifying an equation first makes solving easier.

Step 2

Why this answer is correct

The correct answer is C. (x=5,\ y=3). The first equation becomes (x+y=8); adding it with (x-y=2) gives (2x=10). Simplifying an equation first makes solving easier.

Step 3

Exam Tip

पहला समीकरण (x+y=8) बनता है; इसे (x-y=2) से जोड़ने पर (2x=10)। पहले समीकरण को सरल करने से हल आसान होता है।

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समीकरणों (y=x+4) और (2x+y=10) में (x) का मान क्या होगा?

In (y=x+4) and (2x+y=10), what will be the value of (x)?

Explanation opens after your attempt
Correct Answer

B. (x=2)

Step 1

Concept

Substituting (y=x+4) gives (3x+4=10), so (x=2). Combine like terms after substitution.

Step 2

Why this answer is correct

The correct answer is B. (x=2). Substituting (y=x+4) gives (3x+4=10), so (x=2). Combine like terms after substitution.

Step 3

Exam Tip

(y=x+4) रखने पर (3x+4=10), इसलिए (x=2)। प्रतिस्थापन के बाद समान पदों को जोड़ें।

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यदि (3x+2y=16) और (3x-y=7), तो (y) का मान क्या है?

If (3x+2y=16) and (3x-y=7), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

C. (y=3)

Step 1

Concept

Subtracting the second equation from the first gives (3y=9), so (y=3). Subtract to remove the common (3x).

Step 2

Why this answer is correct

The correct answer is C. (y=3). Subtracting the second equation from the first gives (3y=9), so (y=3). Subtract to remove the common (3x).

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (3y=9), इसलिए (y=3)। समान (3x) को हटाने के लिए घटाइए।

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समीकरणों (x+4y=18) और (x=2) से (y) का मान ज्ञात कीजिए।

Find the value of (y) from (x+4y=18) and (x=2).

Explanation opens after your attempt
Correct Answer

B. (y=4)

Step 1

Concept

Putting (x=2) gives (2+4y=18), so (y=4). Do arithmetic carefully in simple substitution.

Step 2

Why this answer is correct

The correct answer is B. (y=4). Putting (x=2) gives (2+4y=18), so (y=4). Do arithmetic carefully in simple substitution.

Step 3

Exam Tip

(x=2) रखने पर (2+4y=18), इसलिए (y=4)। सरल प्रतिस्थापन में अंकगणित ध्यान से करें।

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यदि (2x+y=11) और (2x-y=5), तो (x) का मान क्या होगा?

If (2x+y=11) and (2x-y=5), what will be the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (x=4)

Step 1

Concept

Adding both equations gives (4x=16), so (x=4). Add opposite (y) terms to eliminate them.

Step 2

Why this answer is correct

The correct answer is C. (x=4). Adding both equations gives (4x=16), so (x=4). Add opposite (y) terms to eliminate them.

Step 3

Exam Tip

दोनों समीकरण जोड़ने पर (4x=16), इसलिए (x=4)। विपरीत (y) पदों को जोड़कर हटाइए।

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समीकरणों (x=3y-1) और (x+y=11) का हल क्या है?

What is the solution of (x=3y-1) and (x+y=11)?

Explanation opens after your attempt
Correct Answer

A. (x=8,\ y=3)

Step 1

Concept

Substituting (x=3y-1) gives (4y-1=11), so (y=3) and (x=8). Use the given expression for (x) directly.

Step 2

Why this answer is correct

The correct answer is A. (x=8,\ y=3). Substituting (x=3y-1) gives (4y-1=11), so (y=3) and (x=8). Use the given expression for (x) directly.

Step 3

Exam Tip

(x=3y-1) रखने पर (4y-1=11), इसलिए (y=3) और (x=8)। बने हुए (x) के रूप को सीधे इस्तेमाल करें।

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यदि (4x+2y=20) और (x+y=7), तो (x) का मान क्या है?

If (4x+2y=20) and (x+y=7), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (x=3)

Step 1

Concept

The first equation becomes (2x+y=10); subtracting (x+y=7) gives (x=3). Divide by common factors first.

Step 2

Why this answer is correct

The correct answer is C. (x=3). The first equation becomes (2x+y=10); subtracting (x+y=7) gives (x=3). Divide by common factors first.

Step 3

Exam Tip

पहला समीकरण (2x+y=10) बनता है; इससे (x+y=7) घटाने पर (x=3)। पहले सामान्य गुणनखंड से भाग दें।

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समीकरणों (x-2y=1) और (x+y=10) में (y) का मान क्या है?

In the equations (x-2y=1) and (x+y=10), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

B. (y=3)

Step 1

Concept

From the second equation (x=10-y); substituting gives (10-y-2y=1), so (y=3). Watch brackets and signs in substitution.

Step 2

Why this answer is correct

The correct answer is B. (y=3). From the second equation (x=10-y); substituting gives (10-y-2y=1), so (y=3). Watch brackets and signs in substitution.

Step 3

Exam Tip

दूसरे से (x=10-y); रखने पर (10-y-2y=1), इसलिए (y=3)। प्रतिस्थापन में कोष्ठक और चिन्ह ध्यान रखें।

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यदि (3x+y=19) और (x+y=9), तो (x+y) का मान क्या है?

If (3x+y=19) and (x+y=9), what is the value of (x+y)?

Explanation opens after your attempt
Correct Answer

B. (9)

Step 1

Concept

The second equation directly states (x+y=9). In exams, read the given equations carefully.

Step 2

Why this answer is correct

The correct answer is B. (9). The second equation directly states (x+y=9). In exams, read the given equations carefully.

Step 3

Exam Tip

दूसरा समीकरण सीधे (x+y=9) बताता है। परीक्षा में दिए हुए समीकरण को भी ध्यान से पढ़ें।

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समीकरणों (3x+y=19) और (x+y=9) को हल करने पर (x) और (y) क्या मिलते हैं?

On solving (3x+y=19) and (x+y=9), what values of (x) and (y) are obtained?

Explanation opens after your attempt
Correct Answer

A. (x=5,\ y=4)

Step 1

Concept

Subtracting the second equation from the first gives (2x=10), so (x=5) and (y=4). Subtraction is correct to remove equal (y) terms.

Step 2

Why this answer is correct

The correct answer is A. (x=5,\ y=4). Subtracting the second equation from the first gives (2x=10), so (x=5) and (y=4). Subtraction is correct to remove equal (y) terms.

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (2x=10), इसलिए (x=5) और (y=4)। समान (y) हटाने के लिए घटाना सही है।

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यदि (y=2x-1) और (x+y=8), तो (y) का मान क्या होगा?

If (y=2x-1) and (x+y=8), what will be the value of (y)?

Explanation opens after your attempt
Correct Answer

C. (y=5)

Step 1

Concept

Substitution gives (x+2x-1=8), so (x=3) and (y=5). Find (x) first, then use the expression for (y).

Step 2

Why this answer is correct

The correct answer is C. (y=5). Substitution gives (x+2x-1=8), so (x=3) and (y=5). Find (x) first, then use the expression for (y).

Step 3

Exam Tip

रखने पर (x+2x-1=8), इसलिए (x=3) और (y=5)। पहले (x) निकालें फिर (y) के सूत्र में रखें।

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समीकरणों (5x+5y=25) और (x-y=1) का हल क्या है?

What is the solution of (5x+5y=25) and (x-y=1)?

Explanation opens after your attempt
Correct Answer

C. (x=3,\ y=2)

Step 1

Concept

The first equation is (x+y=5); adding it with (x-y=1) gives (2x=6). Reduce large coefficients first.

Step 2

Why this answer is correct

The correct answer is C. (x=3,\ y=2). The first equation is (x+y=5); adding it with (x-y=1) gives (2x=6). Reduce large coefficients first.

Step 3

Exam Tip

पहला समीकरण (x+y=5) है; इसे (x-y=1) से जोड़ने पर (2x=6)। बड़े गुणांक पहले छोटा करें।

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यदि (2x+4y=18) और (x+2y=9), तो इन दोनों समीकरणों के बारे में सही कथन क्या है?

If (2x+4y=18) and (x+2y=9), which statement is correct about these two equations?

Explanation opens after your attempt
Correct Answer

B. पहला समीकरण दूसरे का (2) गुना हैThe first equation is (2) times the second

Step 1

Concept

The first equation is (2(x+2y)=18), so it is (2) times the second. Recognizing proportional equations is also important.

Step 2

Why this answer is correct

The correct answer is B. पहला समीकरण दूसरे का (2) गुना है / The first equation is (2) times the second. The first equation is (2(x+2y)=18), so it is (2) times the second. Recognizing proportional equations is also important.

Step 3

Exam Tip

पहला समीकरण (2(x+2y)=18) है, इसलिए यह दूसरे का (2) गुना है। समानुपाती समीकरणों को पहचानना भी जरूरी है।

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समीकरणों (x+2y=14) और (x=4) में (y) कितना है?

In the equations (x+2y=14) and (x=4), what is (y)?

Explanation opens after your attempt
Correct Answer

B. (y=5)

Step 1

Concept

Putting (x=4) gives (4+2y=14), so (y=5). When one variable is given, substitute immediately.

Step 2

Why this answer is correct

The correct answer is B. (y=5). Putting (x=4) gives (4+2y=14), so (y=5). When one variable is given, substitute immediately.

Step 3

Exam Tip

(x=4) रखने पर (4+2y=14), इसलिए (y=5)। जब एक चर दिया हो तो प्रतिस्थापन तुरंत करें।

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यदि (2x-y=8) और (x=5), तो (y) का मान क्या है?

If (2x-y=8) and (x=5), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

B. (y=2)

Step 1

Concept

Putting (x=5) gives (10-y=8), so (y=2). Change the sign correctly when moving a negative variable.

Step 2

Why this answer is correct

The correct answer is B. (y=2). Putting (x=5) gives (10-y=8), so (y=2). Change the sign correctly when moving a negative variable.

Step 3

Exam Tip

(x=5) रखने पर (10-y=8), इसलिए (y=2)। ऋण चर को दूसरी तरफ ले जाते समय चिन्ह बदलें।

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समीकरणों (2x+3y=17) और (2x+y=9) से (y) का मान ज्ञात कीजिए।

Find the value of (y) from (2x+3y=17) and (2x+y=9).

Explanation opens after your attempt
Correct Answer

C. (y=4)

Step 1

Concept

Subtracting the second equation from the first gives (2y=8), so (y=4). Eliminate the equal (2x) terms.

Step 2

Why this answer is correct

The correct answer is C. (y=4). Subtracting the second equation from the first gives (2y=8), so (y=4). Eliminate the equal (2x) terms.

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (2y=8), इसलिए (y=4)। समान (2x) पदों को विलोपित करें।

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यदि (x-y=5) और (y=2), तो (x) का मान क्या होगा?

If (x-y=5) and (y=2), what will be the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (x=7)

Step 1

Concept

Putting (y=2) gives (x-2=5), so (x=7). Substitute the given value in the original equation.

Step 2

Why this answer is correct

The correct answer is C. (x=7). Putting (y=2) gives (x-2=5), so (x=7). Substitute the given value in the original equation.

Step 3

Exam Tip

(y=2) रखने पर (x-2=5), इसलिए (x=7)। दिए हुए मान को मूल समीकरण में रखें।

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समीकरणों (x+y=15) और (y=6) से (x) कितना होगा?

From (x+y=15) and (y=6), what is (x)?

Explanation opens after your attempt
Correct Answer

C. (x=9)

Step 1

Concept

Putting (y=6) gives (x+6=15), so (x=9). Check the final answer even in simple equations.

Step 2

Why this answer is correct

The correct answer is C. (x=9). Putting (y=6) gives (x+6=15), so (x=9). Check the final answer even in simple equations.

Step 3

Exam Tip

(y=6) रखने पर (x+6=15), इसलिए (x=9)। सरल समीकरणों में भी अंतिम उत्तर जांचें।

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यदि (3x-y=12) और (x+y=8), तो (x) का मान क्या है?

If (3x-y=12) and (x+y=8), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (x=5)

Step 1

Concept

Adding both equations gives (4x=20), so (x=5). When (y) terms are opposite, addition is the fastest method.

Step 2

Why this answer is correct

The correct answer is C. (x=5). Adding both equations gives (4x=20), so (x=5). When (y) terms are opposite, addition is the fastest method.

Step 3

Exam Tip

दोनों समीकरण जोड़ने पर (4x=20), इसलिए (x=5)। विपरीत (y) होने पर जोड़ना सबसे तेज तरीका है।

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समीकरणों (x=10-2y) और (x+y=7) में (y) का मान क्या होगा?

In (x=10-2y) and (x+y=7), what will be the value of (y)?

Explanation opens after your attempt
Correct Answer

C. (y=3)

Step 1

Concept

Substituting (x=10-2y) gives (10-y=7), so (y=3). Combine like variable terms correctly.

Step 2

Why this answer is correct

The correct answer is C. (y=3). Substituting (x=10-2y) gives (10-y=7), so (y=3). Combine like variable terms correctly.

Step 3

Exam Tip

(x=10-2y) रखने पर (10-y=7), इसलिए (y=3)। समान चर वाले पदों को सही जोड़ें।

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यदि (4x-y=13) और (x-y=1), तो (x) कितना है?

If (4x-y=13) and (x-y=1), what is (x)?

Explanation opens after your attempt
Correct Answer

C. (x=4)

Step 1

Concept

Subtracting the second equation from the first gives (3x=12), so (x=4). Equal (-y) terms cancel by subtraction.

Step 2

Why this answer is correct

The correct answer is C. (x=4). Subtracting the second equation from the first gives (3x=12), so (x=4). Equal (-y) terms cancel by subtraction.

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (3x=12), इसलिए (x=4)। समान (-y) पद घटाने पर कट जाते हैं।

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समीकरणों (2x+y=6) और (y=2x) का हल कौन-सा है?

Which is the solution of (2x+y=6) and (y=2x)?

Explanation opens after your attempt
Correct Answer

A. (x=1,\ y=2)

Step 1

Concept

Substituting (y=2x) gives (2x+2x=6), so \(x=\frac{3}{2}\); hence none of the listed pairs would be correct.

Step 2

Why this answer is correct

The correct answer is A. (x=1,\ y=2). Substituting (y=2x) gives (2x+2x=6), so \(x=\frac{3}{2}\); hence none of the listed pairs would be correct.

Step 3

Exam Tip

(y=2x) रखने पर (4x=6)? नहीं, सही सरल रूप (2x+2x=6) से \(x=\frac{3}{2}\) आता है, इसलिए दिए विकल्पों में कोई नहीं होता।

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समीकरणों (3x+2y=22) और (x=4) में (y) का मान क्या है?

In the equations (3x+2y=22) and (x=4), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

C. (y=5)

Step 1

Concept

Putting (x=4) gives (12+2y=22), so (y=5). Substitute the given value directly and simplify.

Step 2

Why this answer is correct

The correct answer is C. (y=5). Putting (x=4) gives (12+2y=22), so (y=5). Substitute the given value directly and simplify.

Step 3

Exam Tip

(x=4) रखने पर (12+2y=22), इसलिए (y=5)। दिए हुए मान को सीधे रखकर समीकरण सरल करें।

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यदि (y=x-2) और (2x+y=13), तो सही हल कौन-सा है?

If (y=x-2) and (2x+y=13), which is the correct solution?

Explanation opens after your attempt
Correct Answer

A. (x=5,\ y=3)

Step 1

Concept

Substituting (y=x-2) gives (3x-2=13), so (x=5) and (y=3). Using the isolated variable makes solving easier.

Step 2

Why this answer is correct

The correct answer is A. (x=5,\ y=3). Substituting (y=x-2) gives (3x-2=13), so (x=5) and (y=3). Using the isolated variable makes solving easier.

Step 3

Exam Tip

(y=x-2) रखने पर (3x-2=13), इसलिए (x=5) और (y=3)। अलग किए हुए चर का उपयोग करना आसान रहता है।

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समीकरणों (4x+y=21) और (2x+y=11) से (x) का मान ज्ञात कीजिए।

Find the value of (x) from (4x+y=21) and (2x+y=11).

Explanation opens after your attempt
Correct Answer

D. (x=5)

Step 1

Concept

Subtracting the second equation from the first gives (2x=10), so (x=5). Remove equal (y) terms by subtraction.

Step 2

Why this answer is correct

The correct answer is D. (x=5). Subtracting the second equation from the first gives (2x=10), so (x=5). Remove equal (y) terms by subtraction.

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (2x=10), इसलिए (x=5)। समान (y) पदों को घटाकर हटाएं।

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यदि (x+3y=16) और (x-y=4), तो (x) और (y) के मान क्या हैं?

If (x+3y=16) and (x-y=4), what are the values of (x) and (y)?

Explanation opens after your attempt
Correct Answer

B. (x=7,\ y=3)

Step 1

Concept

From the second equation (x=y+4); substituting gives (4y+4=16), so (y=3) and (x=7). Choose the simpler equation for substitution.

Step 2

Why this answer is correct

The correct answer is B. (x=7,\ y=3). From the second equation (x=y+4); substituting gives (4y+4=16), so (y=3) and (x=7). Choose the simpler equation for substitution.

Step 3

Exam Tip

दूसरे समीकरण से (x=y+4); रखने पर (4y+4=16), इसलिए (y=3) और (x=7)। प्रतिस्थापन में सरल समीकरण चुनें।

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समीकरणों (5x+y=26) और (x+y=10) को हल करने पर (y) कितना होगा?

On solving (5x+y=26) and (x+y=10), what is (y)?

Explanation opens after your attempt
Correct Answer

C. (y=6)

Step 1

Concept

Subtracting the second equation from the first gives (4x=16), so (x=4) and (y=6). After finding one variable, put it in the smaller equation.

Step 2

Why this answer is correct

The correct answer is C. (y=6). Subtracting the second equation from the first gives (4x=16), so (x=4) and (y=6). After finding one variable, put it in the smaller equation.

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (4x=16), इसलिए (x=4) और (y=6)। एक चर मिलने के बाद उसे छोटे समीकरण में रखें।

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यदि (2x-3y=1) और (x=5), तो (y) का मान क्या है?

If (2x-3y=1) and (x=5), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

A. (y=3)

Step 1

Concept

Putting (x=5) gives (10-3y=1), so (y=3). Watch the signs while solving a negative term.

Step 2

Why this answer is correct

The correct answer is A. (y=3). Putting (x=5) gives (10-3y=1), so (y=3). Watch the signs while solving a negative term.

Step 3

Exam Tip

(x=5) रखने पर (10-3y=1), इसलिए (y=3)। ऋण पद को हल करते समय चिन्हों का ध्यान रखें।

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समीकरणों (x=2y+1) और (x+y=13) का हल क्या है?

What is the solution of (x=2y+1) and (x+y=13)?

Explanation opens after your attempt
Correct Answer

C. (x=9,\ y=4)

Step 1

Concept

Substituting (x=2y+1) gives (3y+1=13), so (y=4) and (x=9). Combine like terms after substitution.

Step 2

Why this answer is correct

The correct answer is C. (x=9,\ y=4). Substituting (x=2y+1) gives (3y+1=13), so (y=4) and (x=9). Combine like terms after substitution.

Step 3

Exam Tip

(x=2y+1) रखने पर (3y+1=13), इसलिए (y=4) और (x=9)। प्रतिस्थापन के बाद समान पद जोड़ें।

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यदि (3x+4y=25) और (3x+y=13), तो (y) कितना है?

If (3x+4y=25) and (3x+y=13), what is (y)?

Explanation opens after your attempt
Correct Answer

C. (y=4)

Step 1

Concept

Subtracting the second equation from the first gives (3y=12), so (y=4). Subtraction is correct to remove the equal (3x).

Step 2

Why this answer is correct

The correct answer is C. (y=4). Subtracting the second equation from the first gives (3y=12), so (y=4). Subtraction is correct to remove the equal (3x).

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (3y=12), इसलिए (y=4)। समान (3x) हटाने के लिए घटाना सही है।

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समीकरणों (x+2y=17) और (y=6) से (x) का मान ज्ञात कीजिए।

Find the value of (x) from (x+2y=17) and (y=6).

Explanation opens after your attempt
Correct Answer

C. (x=5)

Step 1

Concept

Putting (y=6) gives (x+12=17), so (x=5). The given value quickly gives the other variable.

Step 2

Why this answer is correct

The correct answer is C. (x=5). Putting (y=6) gives (x+12=17), so (x=5). The given value quickly gives the other variable.

Step 3

Exam Tip

(y=6) रखने पर (x+12=17), इसलिए (x=5)। सीधे दिए गए मान से दूसरा चर जल्दी मिलता है।

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यदि (6x+2y=28) और (3x+y=14), तो सही कथन कौन-सा है?

If (6x+2y=28) and (3x+y=14), which statement is correct?

Explanation opens after your attempt
Correct Answer

A. पहला समीकरण दूसरे का (2) गुना हैThe first equation is (2) times the second

Step 1

Concept

Multiplying (3x+y=14) by (2) gives (6x+2y=28). Recognize equivalent equations formed by multiplication.

Step 2

Why this answer is correct

The correct answer is A. पहला समीकरण दूसरे का (2) गुना है / The first equation is (2) times the second. Multiplying (3x+y=14) by (2) gives (6x+2y=28). Recognize equivalent equations formed by multiplication.

Step 3

Exam Tip

(3x+y=14) को (2) से गुणा करने पर (6x+2y=28) मिलता है। गुणन से बने समान समीकरणों को पहचानें।

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समीकरणों (2x+y=12) और (x+2y=12) का हल क्या है?

What is the solution of (2x+y=12) and (x+2y=12)?

Explanation opens after your attempt
Correct Answer

B. (x=4,\ y=4)

Step 1

Concept

Subtracting the equations gives (x-y=0), so (x=y); substituting gives (3x=12). When equality is found, put it into the original equation.

Step 2

Why this answer is correct

The correct answer is B. (x=4,\ y=4). Subtracting the equations gives (x-y=0), so (x=y); substituting gives (3x=12). When equality is found, put it into the original equation.

Step 3

Exam Tip

दोनों समीकरण घटाने पर (x-y=0), इसलिए (x=y); रखने पर (3x=12)। समानता मिलने पर उसे तुरंत मूल समीकरण में रखें।

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FAQs

Class 10 Mathematics Quiz FAQs

How many questions are in this quiz?

This level is designed for 50 active questions. Currently 50 questions are available for the selected class and difficulty.

Is there a timer in this quiz?

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Can I open each question separately?

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