Concept-wise Practice

substitution MCQ Questions for Class 10

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

Practice Questions

419 questions tagged with substitution.

यदि (y=3x-2) और (x+y=18), तो (y) का मान क्या होगा?

If (y=3x-2) and (x+y=18), what will be the value of (y)?

Explanation opens after your attempt
Correct Answer

C. (y=13)

Step 1

Concept

Substituting (y=3x-2) gives (4x-2=18), so (x=5) and (y=13). Find (x) first, then use the expression for (y).

Step 2

Why this answer is correct

The correct answer is C. (y=13). Substituting (y=3x-2) gives (4x-2=18), so (x=5) and (y=13). Find (x) first, then use the expression for (y).

Step 3

Exam Tip

(y=3x-2) रखने पर (4x-2=18), इसलिए (x=5) और (y=13)। पहले (x) निकालें फिर (y) के रूप में रखें।

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यदि (x-2y=3) और (x+y=12), तो (y) का मान क्या है?

If (x-2y=3) and (x+y=12), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

B. (y=3)

Step 1

Concept

Substituting (x=12-y) gives (12-y-2y=3), so (y=3). Simplify negative signs carefully in substitution.

Step 2

Why this answer is correct

The correct answer is B. (y=3). Substituting (x=12-y) gives (12-y-2y=3), so (y=3). Simplify negative signs carefully in substitution.

Step 3

Exam Tip

(x=12-y) रखने पर (12-y-2y=3), इसलिए (y=3)। प्रतिस्थापन में ऋण चिन्हों को ध्यान से सरल करें।

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यदि (x=2y-4) और (x+y=14), तो सही हल कौन-सा है?

If (x=2y-4) and (x+y=14), which is the correct solution?

Explanation opens after your attempt
Correct Answer

A. (x=8,\ y=6)

Step 1

Concept

Substituting (x=2y-4) gives (3y-4=14), so (y=6) 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=6). Substituting (x=2y-4) gives (3y-4=14), so (y=6) and (x=8). Use the given expression for (x) directly.

Step 3

Exam Tip

(x=2y-4) रखने पर (3y-4=14), इसलिए (y=6) और (x=8)। बने हुए (x) के रूप को सीधे रखें।

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यदि (x+5y=32) और (x=7), तो (y) का मान क्या होगा?

If (x+5y=32) and (x=7), what will be the value of (y)?

Explanation opens after your attempt
Correct Answer

B. (y=5)

Step 1

Concept

Putting (x=7) gives (7+5y=32), so (y=5). After substituting the given value, divide carefully.

Step 2

Why this answer is correct

The correct answer is B. (y=5). Putting (x=7) gives (7+5y=32), so (y=5). After substituting the given value, divide carefully.

Step 3

Exam Tip

(x=7) रखने पर (7+5y=32), इसलिए (y=5)। दिए हुए मान को रखने के बाद भाग दें।

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यदि (y=x-3) और (2x+y=15), तो (x) का मान क्या है?

If (y=x-3) and (2x+y=15), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (x=6)

Step 1

Concept

Substituting (y=x-3) gives (3x-3=15), so (x=6). After substitution, solve the equation in one variable.

Step 2

Why this answer is correct

The correct answer is C. (x=6). Substituting (y=x-3) gives (3x-3=15), so (x=6). After substitution, solve the equation in one variable.

Step 3

Exam Tip

(y=x-3) रखने पर (3x-3=15), इसलिए (x=6)। प्रतिस्थापन के बाद समीकरण को एक चर में हल करें।

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दो संख्याओं (x) और (y) का योग (18) है और (y=7), तो (x) का मान क्या है?

The sum of two numbers (x) and (y) is (18), and (y=7). What is the value of (x)?

Explanation opens after your attempt
Correct Answer

D. (x=11)

Step 1

Concept

Putting (y=7) in (x+y=18) gives (x=11). In word problems, form the equation first.

Step 2

Why this answer is correct

The correct answer is D. (x=11). Putting (y=7) in (x+y=18) gives (x=11). In word problems, form the equation first.

Step 3

Exam Tip

समीकरण (x+y=18) में (y=7) रखने पर (x=11)। शब्द प्रश्न में पहले समीकरण बनाएं।

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

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

Explanation opens after your attempt
Correct Answer

A. (y=4)

Step 1

Concept

Substituting (x=9-y) gives (27-3y+y=19), so (y=4). Be careful while simplifying negative terms.

Step 2

Why this answer is correct

The correct answer is A. (y=4). Substituting (x=9-y) gives (27-3y+y=19), so (y=4). Be careful while simplifying negative terms.

Step 3

Exam Tip

(x=9-y) रखने पर (27-3y+y=19), इसलिए (y=4)। ऋण पदों को सरल करते समय सावधानी रखें।

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समीकरणों (2x+3y=21) और (x+y=8) में (y) का मान क्या होगा?

In (2x+3y=21) and (x+y=8), what will be the value of (y)?

Explanation opens after your attempt
Correct Answer

C. (y=5)

Step 1

Concept

Using (x=8-y) gives (16-2y+3y=21), so (y=5). It is useful to isolate (x) from the smaller equation.

Step 2

Why this answer is correct

The correct answer is C. (y=5). Using (x=8-y) gives (16-2y+3y=21), so (y=5). It is useful to isolate (x) from the smaller equation.

Step 3

Exam Tip

(x=8-y) रखने पर (16-2y+3y=21), इसलिए (y=5)। छोटे समीकरण से (x) अलग करना उपयोगी है।

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यदि (x+2y=20) और (x-y=2), तो (x) और (y) के मान क्या हैं?

If (x+2y=20) and (x-y=2), what are the values of (x) and (y)?

Explanation opens after your attempt
Correct Answer

A. (x=8,\ y=6)

Step 1

Concept

From the second equation (x=y+2); substituting gives (3y+2=20), so (y=6) and (x=8). Isolate a variable from the simpler equation.

Step 2

Why this answer is correct

The correct answer is A. (x=8,\ y=6). From the second equation (x=y+2); substituting gives (3y+2=20), so (y=6) and (x=8). Isolate a variable from the simpler equation.

Step 3

Exam Tip

दूसरे समीकरण से (x=y+2); रखने पर (3y+2=20), इसलिए (y=6) और (x=8)। सरल समीकरण से चर अलग करें।

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यदि (y=2x+3) और (x+y=15), तो सही हल कौन-सा है?

If (y=2x+3) and (x+y=15), which is the correct solution?

Explanation opens after your attempt
Correct Answer

D. (x=4,\ y=11)

Step 1

Concept

Substituting (y=2x+3) gives (3x+3=15), so (x=4) and (y=11). Combine like terms after substitution.

Step 2

Why this answer is correct

The correct answer is D. (x=4,\ y=11). Substituting (y=2x+3) gives (3x+3=15), so (x=4) and (y=11). Combine like terms after substitution.

Step 3

Exam Tip

(y=2x+3) रखने पर (3x+3=15), इसलिए (x=4) और (y=11)। प्रतिस्थापन के बाद समान पद जोड़ें।

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

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

Explanation opens after your attempt
Correct Answer

C. (x=12,\ y=4)

Step 1

Concept

Substituting (x=3y) gives (4y=16), so (y=4) and (x=12). Substitution is fast when one variable is a multiple of another.

Step 2

Why this answer is correct

The correct answer is C. (x=12,\ y=4). Substituting (x=3y) gives (4y=16), so (y=4) and (x=12). Substitution is fast when one variable is a multiple of another.

Step 3

Exam Tip

(x=3y) रखने पर (4y=16), इसलिए (y=4) और (x=12)। गुणज वाले रूप में प्रतिस्थापन तेज होता है।

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यदि (y=x+5) और (x+y=17), तो सही हल कौन-सा है?

If (y=x+5) and (x+y=17), which is the correct solution?

Explanation opens after your attempt
Correct Answer

B. (x=6,\ y=11)

Step 1

Concept

Substituting (y=x+5) gives (2x+5=17), so (x=6) and (y=11). Using the isolated variable is easier.

Step 2

Why this answer is correct

The correct answer is B. (x=6,\ y=11). Substituting (y=x+5) gives (2x+5=17), so (x=6) and (y=11). Using the isolated variable is easier.

Step 3

Exam Tip

(y=x+5) रखने पर (2x+5=17), इसलिए (x=6) और (y=11)। अलग किए हुए चर का उपयोग करना आसान रहता है।

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यदि (x+y=14) और (x=6), तो (y) का मान क्या है?

If (x+y=14) and (x=6), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

C. (y=8)

Step 1

Concept

Putting (x=6) gives (6+y=14), so (y=8). In substitution, place the given value directly.

Step 2

Why this answer is correct

The correct answer is C. (y=8). Putting (x=6) gives (6+y=14), so (y=8). In substitution, place the given value directly.

Step 3

Exam Tip

(x=6) रखने पर (6+y=14), इसलिए (y=8)। प्रतिस्थापन में दिया हुआ मान सीधे रखें।

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समीकरणों (2x+y=11) और (x-y=1) का हल क्या है?

What is the solution of the equations (2x+y=11) and (x-y=1)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

Adding both equations gives (3x=12), so (x=4) and (y=3). In exams, eliminate the variable with opposite signs first.

Step 2

Why this answer is correct

The correct answer is A. (x=4,\ y=3). Adding both equations gives (3x=12), so (x=4) and (y=3). In exams, eliminate the variable with opposite signs first.

Step 3

Exam Tip

दोनों समीकरण जोड़ने पर (3x=12), इसलिए (x=4) और (y=3)। परीक्षा में विपरीत चिन्ह वाले चर को पहले हटाएं।

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प्रतिस्थापन विधि से (x+y=17) और (y=x+3) का हल ज्ञात करें।

Find the solution of (x+y=17) and (y=x+3) by substitution.

Explanation opens after your attempt
Correct Answer

C. ( (7,10) )

Step 1

Concept

Putting (y=x+3) gives (2x+3=17), so (x=7) and (y=10). Solve the one-variable equation formed after substitution.

Step 2

Why this answer is correct

The correct answer is C. ( (7,10) ). Putting (y=x+3) gives (2x+3=17), so (x=7) and (y=10). Solve the one-variable equation formed after substitution.

Step 3

Exam Tip

(y=x+3) रखने पर (2x+3=17), इसलिए (x=7) और (y=10)। प्रतिस्थापन के बाद बने एक चर के समीकरण को हल करें।

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समीकरण (y=12-2x) में (x=5) रखने पर (y) क्या होगा?

In (y=12-2x), if (x=5), what is (y)?

Explanation opens after your attempt
Correct Answer

B. (y=2)

Step 1

Concept

(y=12-10=2). Multiply first and then subtract.

Step 2

Why this answer is correct

The correct answer is B. (y=2). (y=12-10=2). Multiply first and then subtract.

Step 3

Exam Tip

(y=12-10=2)। पहले गुणा करें और फिर घटाव करें।

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

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

Explanation opens after your attempt
Correct Answer

D. (x=7)

Step 1

Concept

(x-6=1), so (x=7). After substitution, move the constant term to the other side.

Step 2

Why this answer is correct

The correct answer is D. (x=7). (x-6=1), so (x=7). After substitution, move the constant term to the other side.

Step 3

Exam Tip

(x-6=1), इसलिए (x=7)। प्रतिस्थापन के बाद स्थिर पद को दूसरी तरफ ले जाएँ।

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समीकरण (x+y=15) और (x=2y) का हल क्या है?

What is the solution of (x+y=15) and (x=2y)?

Explanation opens after your attempt
Correct Answer

B. ( (10,5) )

Step 1

Concept

Putting (x=2y) gives (3y=15), so (y=5) and (x=10). Substitution is easiest when a ratio relation is given.

Step 2

Why this answer is correct

The correct answer is B. ( (10,5) ). Putting (x=2y) gives (3y=15), so (y=5) and (x=10). Substitution is easiest when a ratio relation is given.

Step 3

Exam Tip

(x=2y) रखने पर (3y=15), इसलिए (y=5) और (x=10)। अनुपात वाले संबंध में प्रतिस्थापन सबसे आसान रहता है।

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समीकरण (3x-y=7) में (x=3) रखने पर (y) क्या होगा?

In (3x-y=7), if (x=3), what is (y)?

Explanation opens after your attempt
Correct Answer

A. (y=2)

Step 1

Concept

(9-y=7), so (y=2). Be careful while solving a term with a negative sign.

Step 2

Why this answer is correct

The correct answer is A. (y=2). (9-y=7), so (y=2). Be careful while solving a term with a negative sign.

Step 3

Exam Tip

(9-y=7), इसलिए (y=2)। ऋण चिह्न वाले पद को हल करते समय सावधानी रखें।

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

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

Explanation opens after your attempt
Correct Answer

D. (y=6)

Step 1

Concept

(y=10-4=6). In substitution, place the given value in the correct position.

Step 2

Why this answer is correct

The correct answer is D. (y=6). (y=10-4=6). In substitution, place the given value in the correct position.

Step 3

Exam Tip

(y=10-4=6)। प्रतिस्थापन में दिए गए मान को सही स्थान पर रखें।

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प्रतिस्थापन विधि से (2x+y=16) और (x-y=2) को हल करें।

Solve (2x+y=16) and (x-y=2) by substitution.

Explanation opens after your attempt
Correct Answer

B. ( (6,4) )

Step 1

Concept

From (x-y=2), (y=x-2), so (2x+x-2=16) and (x=6). Then (y=4).

Step 2

Why this answer is correct

The correct answer is B. ( (6,4) ). From (x-y=2), (y=x-2), so (2x+x-2=16) and (x=6). Then (y=4).

Step 3

Exam Tip

(x-y=2) से (y=x-2), इसलिए (2x+x-2=16) और (x=6)। फिर (y=4) मिलेगा।

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समीकरण (y=x+4) और (x+y=18) का हल क्या है?

What is the solution of (y=x+4) and (x+y=18)?

Explanation opens after your attempt
Correct Answer

C. ( (7,11) )

Step 1

Concept

Putting (y=x+4) gives (2x+4=18), so (x=7) and (y=11). In exams, put the expression directly into the other equation.

Step 2

Why this answer is correct

The correct answer is C. ( (7,11) ). Putting (y=x+4) gives (2x+4=18), so (x=7) and (y=11). In exams, put the expression directly into the other equation.

Step 3

Exam Tip

(y=x+4) रखने पर (2x+4=18), इसलिए (x=7) और (y=11)। परीक्षा में अभिव्यक्ति को सीधे दूसरे समीकरण में रखें।

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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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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 (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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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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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 (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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समीकरण (x+3y=15) और (y=3) से (x) क्या होगा?

From (x+3y=15) and (y=3), what is (x)?

Explanation opens after your attempt
Correct Answer

B. (x=6)

Step 1

Concept

(x+9=15), so (x=6). After substitution, solve the remaining one-variable equation.

Step 2

Why this answer is correct

The correct answer is B. (x=6). (x+9=15), so (x=6). After substitution, solve the remaining one-variable equation.

Step 3

Exam Tip

(x+9=15), इसलिए (x=6)। प्रतिस्थापन के बाद शेष एक चर का समीकरण हल करें।

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

If (2x-y=1) and (x=5), what is (y)?

Explanation opens after your attempt
Correct Answer

A. (y=9)

Step 1

Concept

(10-y=1), so (y=9). In this type of question, solve (-y) correctly.

Step 2

Why this answer is correct

The correct answer is A. (y=9). (10-y=1), so (y=9). In this type of question, solve (-y) correctly.

Step 3

Exam Tip

(10-y=1), इसलिए (y=9)। इस प्रकार के प्रश्न में (-y) को सही तरह हल करें।

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