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100 results found for "easy value" in Class 10.

यदि (x+y=13) और (x=9), तो (y) का सही मान चुनें।

If (x+y=13) and (x=9), choose the correct value of (y).

Explanation opens after your attempt
Correct Answer

C. (y=4)

Step 1

Concept

(9+y=13), so (y=4). After placing the given value, do simple subtraction.

Step 2

Why this answer is correct

The correct answer is C. (y=4). (9+y=13), so (y=4). After placing the given value, do simple subtraction.

Step 3

Exam Tip

(9+y=13), इसलिए (y=4)। दिए गए मान को रखने के बाद सरल घटाव करें।

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मान के अध्ययन में मध्यम मान की भूमिका क्या है?

What is the role of middle value in value study?

Explanation opens after your attempt
Correct Answer

A. प्रकाश और छाया के बीच संक्रमण बनानाCreating transition between light and shadow

Step 1

Concept

Middle value connects light and dark parts. Exam tip: connect mid value with transition.

Step 2

Why this answer is correct

The correct answer is A. प्रकाश और छाया के बीच संक्रमण बनाना / Creating transition between light and shadow. Middle value connects light and dark parts. Exam tip: connect mid value with transition.

Step 3

Exam Tip

मध्यम मान उजले और गहरे भागों को जोड़ता है। परीक्षा में mid value को transition से जोड़ें।

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यदि (x+2y=21) और (y=8), तो (x) का मान क्या होगा?

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

Explanation opens after your attempt
Correct Answer

C. (x=5)

Step 1

Concept

Putting (y=8) gives (x+16=21), so (x=5). Multiply first and then subtract.

Step 2

Why this answer is correct

The correct answer is C. (x=5). Putting (y=8) gives (x+16=21), so (x=5). Multiply first and then subtract.

Step 3

Exam Tip

(y=8) रखने पर (x+16=21), इसलिए (x=5)। पहले गुणा करें फिर घटाएं।

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समीकरणों (2x+5y=31) और (2x+y=15) से (y) का मान ज्ञात कीजिए।

Find the value of (y) from (2x+5y=31) and (2x+y=15).

Explanation opens after your attempt
Correct Answer

B. (y=4)

Step 1

Concept

Subtracting the second equation from the first gives (4y=16), so (y=4). Subtract to remove equal (2x).

Step 2

Why this answer is correct

The correct answer is B. (y=4). Subtracting the second equation from the first gives (4y=16), so (y=4). Subtract to remove equal (2x).

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (4y=16), इसलिए (y=4)। समान (2x) को हटाने के लिए घटाएं।

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समीकरणों (5x+y=31) और (3x+y=19) से (x) का मान क्या है?

What is the value of (x) from (5x+y=31) and (3x+y=19)?

Explanation opens after your attempt
Correct Answer

A. (x=6)

Step 1

Concept

Subtracting the second equation from the first gives (2x=12), so (x=6). Use elimination immediately on equal (y) terms.

Step 2

Why this answer is correct

The correct answer is A. (x=6). Subtracting the second equation from the first gives (2x=12), so (x=6). Use elimination immediately on equal (y) terms.

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (2x=12), इसलिए (x=6)। समान (y) पदों पर विलोपन तुरंत करें।

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समीकरणों (4x-y=22) और (x-y=4) से (x) का मान ज्ञात कीजिए।

Find the value of (x) from (4x-y=22) and (x-y=4).

Explanation opens after your attempt
Correct Answer

A. (x=6)

Step 1

Concept

Subtracting the second equation from the first gives (3x=18), so (x=6). Subtract to remove equal (-y) terms.

Step 2

Why this answer is correct

The correct answer is A. (x=6). Subtracting the second equation from the first gives (3x=18), so (x=6). Subtract to remove equal (-y) terms.

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (3x=18), इसलिए (x=6)। समान (-y) हटाने के लिए घटाएं।

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यदि (x=14-3y) और (x+y=8), तो (y) का मान क्या है?

If (x=14-3y) and (x+y=8), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

D. (y=3)

Step 1

Concept

Substituting (x=14-3y) gives (14-2y=8), so (y=3). After substitution, keep variable terms on one side.

Step 2

Why this answer is correct

The correct answer is D. (y=3). Substituting (x=14-3y) gives (14-2y=8), so (y=3). After substitution, keep variable terms on one side.

Step 3

Exam Tip

(x=14-3y) रखने पर (14-2y=8), इसलिए (y=3)। प्रतिस्थापन के बाद चर वाले पद एक तरफ रखें।

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

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

Explanation opens after your attempt
Correct Answer

A. (x=13)

Step 1

Concept

Putting (y=5) gives (x-5=8), so (x=13). Substitute the given value in the original equation.

Step 2

Why this answer is correct

The correct answer is A. (x=13). Putting (y=5) gives (x-5=8), so (x=13). Substitute the given value in the original equation.

Step 3

Exam Tip

(y=5) रखने पर (x-5=8), इसलिए (x=13)। दिए हुए मान को मूल समीकरण में रखें।

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समीकरणों (2x+3y=22) और (2x+y=12) से (y) का मान ज्ञात कीजिए।

Find the value of (y) from (2x+3y=22) and (2x+y=12).

Explanation opens after your attempt
Correct Answer

D. (y=5)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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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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समीकरणों (2x+y=17) और (2x-y=7) से (x) का मान ज्ञात कीजिए।

Find the value of (x) from (2x+y=17) and (2x-y=7).

Explanation opens after your attempt
Correct Answer

C. (x=6)

Step 1

Concept

Adding both equations gives (4x=24), so (x=6). Add opposite (y) terms to eliminate them.

Step 2

Why this answer is correct

The correct answer is C. (x=6). Adding both equations gives (4x=24), so (x=6). Add opposite (y) terms to eliminate them.

Step 3

Exam Tip

दोनों समीकरण जोड़ने पर (4x=24), इसलिए (x=6)। विपरीत (y) पदों को जोड़कर हटाएं।

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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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समीकरणों (4x+2y=30) और (4x-y=12) से (y) का मान क्या है?

What is the value of (y) from (4x+2y=30) and (4x-y=12)?

Explanation opens after your attempt
Correct Answer

D. (y=6)

Step 1

Concept

Subtracting the second equation from the first gives (3y=18), so (y=6). Subtraction is correct to remove equal (4x).

Step 2

Why this answer is correct

The correct answer is D. (y=6). Subtracting the second equation from the first gives (3y=18), so (y=6). Subtraction is correct to remove equal (4x).

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (3y=18), इसलिए (y=6)। समान (4x) को हटाने के लिए घटाना सही है।

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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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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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यदि (3x-y=10) और (x+y=10), तो (x) का मान क्या है?

If (3x-y=10) and (x+y=10), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

B. (x=5)

Step 1

Concept

Adding both equations gives (4x=20), so (x=5). Add opposite (y) terms to eliminate them.

Step 2

Why this answer is correct

The correct answer is B. (x=5). Adding both equations gives (4x=20), so (x=5). Add opposite (y) terms to eliminate them.

Step 3

Exam Tip

दोनों समीकरण जोड़ने पर (4x=20), इसलिए (x=5)। विपरीत (y) पदों को जोड़कर हटाएं।

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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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समीकरणों (5x+y=29) और (2x+y=14) से (x) का मान क्या है?

What is the value of (x) from (5x+y=29) and (2x+y=14)?

Explanation opens after your attempt
Correct Answer

B. (x=5)

Step 1

Concept

Subtracting the second equation from the first gives (3x=15), so (x=5). If (y) terms are equal, subtraction is the correct method.

Step 2

Why this answer is correct

The correct answer is B. (x=5). Subtracting the second equation from the first gives (3x=15), so (x=5). If (y) terms are equal, subtraction is the correct method.

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (3x=15), इसलिए (x=5)। समान (y) हो तो घटाना सही तरीका है।

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यदि (x-y=7) और (x+y=15), तो (y) का मान क्या होगा?

If (x-y=7) and (x+y=15), what will be the value of (y)?

Explanation opens after your attempt
Correct Answer

B. (y=4)

Step 1

Concept

Adding both equations gives (2x=22), so (x=11) and (y=4). After finding one variable, substitute it in a simple equation.

Step 2

Why this answer is correct

The correct answer is B. (y=4). Adding both equations gives (2x=22), so (x=11) and (y=4). After finding one variable, substitute it in a simple equation.

Step 3

Exam Tip

दोनों समीकरण जोड़ने पर (2x=22), इसलिए (x=11) और (y=4)। एक चर मिलने के बाद उसे सरल समीकरण में रखें।

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समीकरणों (3x+y=18) और (x+y=10) से (x) का मान ज्ञात कीजिए।

Find the value of (x) from (3x+y=18) and (x+y=10).

Explanation opens after your attempt
Correct Answer

D. (x=4)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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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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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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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 (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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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+y=10) और (y=6) से (x) का मान क्या होगा?

From (x+y=10) and (y=6), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (x=4)

Step 1

Concept

(x+6=10), so (x=4). In simple substitution, place the value directly.

Step 2

Why this answer is correct

The correct answer is C. (x=4). (x+6=10), so (x=4). In simple substitution, place the value directly.

Step 3

Exam Tip

(x+6=10), इसलिए (x=4)। सरल प्रतिस्थापन में मान सीधे रखें।

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

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

Explanation opens after your attempt
Correct Answer

B. (y=4)

Step 1

Concept

Putting (x=2) gives (4+y=8), so (y=4). In exams, substitute the given value directly.

Step 2

Why this answer is correct

The correct answer is B. (y=4). Putting (x=2) gives (4+y=8), so (y=4). In exams, substitute the given value directly.

Step 3

Exam Tip

(x=2) रखने पर (4+y=8), इसलिए (y=4)। परीक्षा में दिए गए मान को सीधे समीकरण में रखें।

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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 (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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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 (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 (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 (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 (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+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 (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 (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 (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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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 (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+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 (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) 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 (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 (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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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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(p(x)=2x-2-8) के लिए (p(2)) का मान क्या है?

For (p(x)=2x-2-8), what is the value of (p(2))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(p(2)=2\cdot22-8=8-8=0). Square first, then multiply.

Step 2

Why this answer is correct

The correct answer is A. (0). (p(2)=2\cdot22-8=8-8=0). Square first, then multiply.

Step 3

Exam Tip

(p(2)=2\cdot22-8=8-8=0) है। पहले वर्ग करें फिर गुणा करें।

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बहुपद \(x^3-1\) में (x=1) रखने पर मान क्या है?

What is the value of \(x^3-1\) when (x=1)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

\(1^3-1=0\). So (1) is also a zero of this polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). \(1^3-1=0\). So (1) is also a zero of this polynomial.

Step 3

Exam Tip

\(1^3-1=0\) है। इसलिए (1) इस बहुपद का शून्यक भी है।

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\(x^2+1\) में (x=1) रखने पर क्या मान मिलेगा?

What value is obtained by putting (x=1) in \(x^2+1\)?

Explanation opens after your attempt
Correct Answer

C. (2)

Step 1

Concept

\(1^2+1=2\). Even for small values, calculate in the correct order.

Step 2

Why this answer is correct

The correct answer is C. (2). \(1^2+1=2\). Even for small values, calculate in the correct order.

Step 3

Exam Tip

\(1^2+1=2\) होता है। छोटे मानों पर भी सही क्रम से गणना करें।

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(p(x)=2x+3) में (p(2)) का मान क्या है?

If (p(x)=2x+3), what is the value of (p(2))?

Explanation opens after your attempt
Correct Answer

B. (7)

Step 1

Concept

(p(2)=2\cdot2+3=7). Substitute the given number in place of (x).

Step 2

Why this answer is correct

The correct answer is B. (7). (p(2)=2\cdot2+3=7). Substitute the given number in place of (x).

Step 3

Exam Tip

(p(2)=2\cdot2+3=7) होता है। मान निकालते समय (x) की जगह दी गई संख्या रखें।

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यदि ग्राफ (x)-अक्ष को ((7,0)) पर काटता है, तो (p(7)) का मान क्या होगा?

If the graph cuts the (x)-axis at ((7,0)), what will be the value of (p(7))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

On the (x)-axis, (y=0). Therefore at ((7,0)), (p(7)=0).

Step 2

Why this answer is correct

The correct answer is A. (0). On the (x)-axis, (y=0). Therefore at ((7,0)), (p(7)=0).

Step 3

Exam Tip

(x)-अक्ष पर (y=0) होता है। इसलिए ((7,0)) पर (p(7)=0) होगा।

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यदि (p(x)=2x+6), तो ग्राफ का (x)-अक्ष से कटाव किस (x)-मान पर होगा?

If (p(x)=2x+6), at which (x)-value will the graph cut the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. (-3)

Step 1

Concept

On the (x)-axis, (p(x)=0), so (2x+6=0) gives (x=-3). This is the graphical zero.

Step 2

Why this answer is correct

The correct answer is A. (-3). On the (x)-axis, (p(x)=0), so (2x+6=0) gives (x=-3). This is the graphical zero.

Step 3

Exam Tip

(x)-अक्ष पर (p(x)=0), इसलिए (2x+6=0) से (x=-3)। यही ग्राफीय शून्यक है।

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यदि (p(-3)=0), तो बहुपद का कौन-सा शून्यक है?

If (p(-3)=0), which value is a zero of the polynomial?

Explanation opens after your attempt
Correct Answer

A. (-3)

Step 1

Concept

The (x)-value for which (p(x)=0) is a zero. Hence (-3) is a zero of the polynomial.

Step 2

Why this answer is correct

The correct answer is A. (-3). The (x)-value for which (p(x)=0) is a zero. Hence (-3) is a zero of the polynomial.

Step 3

Exam Tip

जिस (x)-मान पर (p(x)=0) हो वही शून्यक होता है। इसलिए (-3) बहुपद का शून्यक है।

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यदि ग्राफ (x)-अक्ष को ((8,0)) पर काटता है, तो (p(8)) का मान क्या होगा?

If the graph cuts the (x)-axis at ((8,0)), what is the value of (p(8))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

On the (x)-axis, (y=0). Therefore at ((8,0)), (p(8)=0).

Step 2

Why this answer is correct

The correct answer is A. (0). On the (x)-axis, (y=0). Therefore at ((8,0)), (p(8)=0).

Step 3

Exam Tip

(x)-अक्ष पर (y=0) होता है। इसलिए ((8,0)) पर (p(8)=0) होगा।

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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 मान पट्टी में मध्य मान नहीं है तो छायांकन पर क्या असर होगा?

If a value scale has no middle values what effect will it have on shading?

Explanation opens after your attempt
Correct Answer

A. प्रकाश से छाया का संक्रमण कठोर लगेगाTransition from light to shadow will look harsh

Step 1

Concept

Middle values create smooth transition. Exam tip: keep full range in value scale.

Step 2

Why this answer is correct

The correct answer is A. प्रकाश से छाया का संक्रमण कठोर लगेगा / Transition from light to shadow will look harsh. Middle values create smooth transition. Exam tip: keep full range in value scale.

Step 3

Exam Tip

मध्य मान smooth transition बनाते हैं। परीक्षा में value scale में full range रखें।

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छाया को अधिक गहरा दिखाने के लिए किस मान का उपयोग होगा?

Which value will be used to make shadow look darker?

Explanation opens after your attempt
Correct Answer

B. गहरा मानDark value

Step 1

Concept

Dark value increases the effect of shadow. Exam tip: connect shadow with dark value.

Step 2

Why this answer is correct

The correct answer is B. गहरा मान / Dark value. Dark value increases the effect of shadow. Exam tip: connect shadow with dark value.

Step 3

Exam Tip

गहरा मान छाया का प्रभाव बढ़ाता है। परीक्षा में shadow को dark value से जोड़ें।

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प्रकाश पड़ने वाले भाग को दिखाने के लिए कौन सा मान चाहिए?

Which value is needed to show the lighted part?

Explanation opens after your attempt
Correct Answer

C. हल्का मानLight value

Step 1

Concept

Light value shows the lit part. Exam tip: connect highlight with light value.

Step 2

Why this answer is correct

The correct answer is C. हल्का मान / Light value. Light value shows the lit part. Exam tip: connect highlight with light value.

Step 3

Exam Tip

हल्का मान प्रकाश वाले भाग को दिखाता है। परीक्षा में प्रकाशित भाग को हल्का मान से जोड़ें।

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यदि (a=12), (d=5) और (n=6) हो तो \(a_n\) का मान क्या होगा?

If (a=12), (d=5), and (n=6), what is the value of \(a_n\)?

Explanation opens after your attempt
Correct Answer

C. (37)

Step 1

Concept

(a_n=12+(6-1)\times5=37). Substituting values directly reduces mistakes.

Step 2

Why this answer is correct

The correct answer is C. (37). (a_n=12+(6-1)\times5=37). Substituting values directly reduces mistakes.

Step 3

Exam Tip

(a_n=12+(6-1)\times5=37)। सूत्र में सीधे मान रखने से गलती कम होती है।

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अनुक्रम \(11,14,17,20,\ldots\) में (a) का मान क्या है?

What is the value of (a) in the sequence \(11,14,17,20,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (11)

Step 1

Concept

The first term is (11), so (a=11). For (a), look at the first term of the list.

Step 2

Why this answer is correct

The correct answer is B. (11). The first term is (11), so (a=11). For (a), look at the first term of the list.

Step 3

Exam Tip

पहला पद (11) है इसलिए (a=11) है। (a) के लिए सूची का पहला पद देखें।

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यदि (3x-2y=4) और (x=4), तो (y) का मान क्या है?

If (3x-2y=4) and (x=4), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

D. (y=4)

Step 1

Concept

Putting (x=4) gives (12-2y=4), so (y=4). Check signs while solving a term with a negative coefficient.

Step 2

Why this answer is correct

The correct answer is D. (y=4). Putting (x=4) gives (12-2y=4), so (y=4). Check signs while solving a term with a negative coefficient.

Step 3

Exam Tip

(x=4) रखने पर (12-2y=4), इसलिए (y=4)। ऋण गुणांक वाले पद को हल करते समय चिन्ह जांचें।

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दो संख्याओं (x) और (y) का योग (20) है और (y=8), तो (x) का मान क्या होगा?

The sum of two numbers (x) and (y) is (20), and (y=8). What will be the value of (x)?

Explanation opens after your attempt
Correct Answer

B. (x=12)

Step 1

Concept

Putting (y=8) in (x+y=20) gives (x=12). First write the equation clearly from the words.

Step 2

Why this answer is correct

The correct answer is B. (x=12). Putting (y=8) in (x+y=20) gives (x=12). First write the equation clearly from the words.

Step 3

Exam Tip

समीकरण (x+y=20) में (y=8) रखने पर (x=12)। शब्दों से बने समीकरण को पहले साफ लिखें।

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यदि (3x-y=18) और (x=7), तो (y) का मान क्या होगा?

If (3x-y=18) and (x=7), what will be the value of (y)?

Explanation opens after your attempt
Correct Answer

C. (y=3)

Step 1

Concept

Putting (x=7) gives (21-y=18), so (y=3). Watch the signs while solving a negative variable.

Step 2

Why this answer is correct

The correct answer is C. (y=3). Putting (x=7) gives (21-y=18), so (y=3). Watch the signs while solving a negative variable.

Step 3

Exam Tip

(x=7) रखने पर (21-y=18), इसलिए (y=3)। ऋण चर को हल करते समय चिन्हों का ध्यान रखें।

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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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समीकरणों (6x-y=23) और (2x-y=7) से (x) का मान ज्ञात कीजिए।

Find the value of (x) from (6x-y=23) and (2x-y=7).

Explanation opens after your attempt
Correct Answer

C. (x=4)

Step 1

Concept

Subtracting the second equation from the first gives (4x=16), so (x=4). Equal (-y) terms can be removed by subtraction.

Step 2

Why this answer is correct

The correct answer is C. (x=4). Subtracting the second equation from the first gives (4x=16), so (x=4). Equal (-y) terms can be removed by subtraction.

Step 3

Exam Tip

पहले समीकरण से दूसरा घटाने पर (4x=16), इसलिए (x=4)। समान (-y) पदों को घटाकर हटाया जा सकता है।

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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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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 (3x+2y=17) और (x=3), तो (y) का मान क्या है?

If (3x+2y=17) and (x=3), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

B. (y=4)

Step 1

Concept

(9+2y=17), so (2y=8) and (y=4). Multiply first and then divide.

Step 2

Why this answer is correct

The correct answer is B. (y=4). (9+2y=17), so (2y=8) and (y=4). Multiply first and then divide.

Step 3

Exam Tip

(9+2y=17), इसलिए (2y=8) और (y=4)। पहले गुणा करें फिर भाग दें।

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यदि (x-y=6) और (y=2), तो (x) का मान क्या होगा?

If (x-y=6) and (y=2), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (x=8)

Step 1

Concept

(x-2=6), so (x=8). Put (y) with the correct sign in a subtraction equation.

Step 2

Why this answer is correct

The correct answer is C. (x=8). (x-2=6), so (x=8). Put (y) with the correct sign in a subtraction equation.

Step 3

Exam Tip

(x-2=6), इसलिए (x=8)। घटाव समीकरण में (y) को सही चिह्न के साथ रखें।

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विलोपन विधि से (x+4y=17) और (x+y=8) को घटाने पर (y) का मान क्या मिलेगा?

Using elimination, what value of (y) is obtained by subtracting (x+y=8) from (x+4y=17)?

Explanation opens after your attempt
Correct Answer

C. (y=3)

Step 1

Concept

Subtracting gives (3y=9), so (y=3). Remove equal (x) terms to get (y) directly.

Step 2

Why this answer is correct

The correct answer is C. (y=3). Subtracting gives (3y=9), so (y=3). Remove equal (x) terms to get (y) directly.

Step 3

Exam Tip

घटाने पर (3y=9), इसलिए (y=3)। समान (x) पदों को हटाकर सीधे (y) निकालें।

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समीकरण (x-y=2) और (x=6) में (y) का मान क्या है?

In (x-y=2) and (x=6), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

B. (y=4)

Step 1

Concept

(6-y=2), so (y=4). Do not rush when solving a term with a negative sign.

Step 2

Why this answer is correct

The correct answer is B. (y=4). (6-y=2), so (y=4). Do not rush when solving a term with a negative sign.

Step 3

Exam Tip

(6-y=2), इसलिए (y=4)। ऋण वाले पद को हल करते समय जल्दबाजी न करें।

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यदि (2x-y=5) और (x=4), तो (y) का मान ज्ञात करें।

If (2x-y=5) and (x=4), find the value of (y).

Explanation opens after your attempt
Correct Answer

B. (y=3)

Step 1

Concept

(8-y=5), so (y=3). When there is a minus sign, balance both sides carefully.

Step 2

Why this answer is correct

The correct answer is B. (y=3). (8-y=5), so (y=3). When there is a minus sign, balance both sides carefully.

Step 3

Exam Tip

(8-y=5), इसलिए (y=3)। समीकरण में ऋण चिह्न हो तो दोनों पक्षों को ध्यान से संतुलित करें।

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समीकरण (x+2y=12) और (x=4) के लिए (y) का मान चुनें।

For the equations (x+2y=12) and (x=4), choose the value of (y).

Explanation opens after your attempt
Correct Answer

B. (y=4)

Step 1

Concept

(4+2y=12), so (2y=8) and (y=4). Apply the same operation on both sides.

Step 2

Why this answer is correct

The correct answer is B. (y=4). (4+2y=12), so (2y=8) and (y=4). Apply the same operation on both sides.

Step 3

Exam Tip

(4+2y=12), इसलिए (2y=8) और (y=4)। परीक्षा में दोनों तरफ बराबर क्रिया करें।

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यदि (x+y=9) और (y=4), तो (x) का मान क्या है?

If (x+y=9) and (y=4), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (x=5)

Step 1

Concept

Putting (y=4) gives (x+4=9), so (x=5). After substitution, use simple subtraction carefully.

Step 2

Why this answer is correct

The correct answer is C. (x=5). Putting (y=4) gives (x+4=9), so (x=5). After substitution, use simple subtraction carefully.

Step 3

Exam Tip

(y=4) रखने पर (x+4=9), इसलिए (x=5)। परीक्षा में प्रतिस्थापन के बाद सरल घटाव 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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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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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 (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 दो रेखाएँ ( (5,2) ) पर कटती हैं, तो (y) का मान क्या होगा?

If two lines intersect at ( (5,2) ), what will be the value of (y)?

Explanation opens after your attempt
Correct Answer

A. (2)

Step 1

Concept

In the point ( (5,2) ), the second coordinate is (y). Therefore, (y=2).

Step 2

Why this answer is correct

The correct answer is A. (2). In the point ( (5,2) ), the second coordinate is (y). Therefore, (y=2).

Step 3

Exam Tip

बिंदु ( (5,2) ) में दूसरा निर्देशांक (y) होता है। इसलिए (y=2)।

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यदि दो रेखाएँ ( (1,2) ) पर मिलती हैं, तो (x) का मान क्या है?

If two lines meet at ( (1,2) ), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

In the point ( (1,2) ), the first coordinate is (x). Therefore, (x=1).

Step 2

Why this answer is correct

The correct answer is A. (1). In the point ( (1,2) ), the first coordinate is (x). Therefore, (x=1).

Step 3

Exam Tip

बिंदु ( (1,2) ) में पहला निर्देशांक (x) होता है। इसलिए (x=1)।

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समीकरण (3x+y=9) के लिए (x=2) होने पर (y) का मान क्या है?

For (3x+y=9), what is the value of (y) when (x=2)?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

(3(2)+y=9), so (6+y=9) and (y=3). While making a table, choose simple (x)-values.

Step 2

Why this answer is correct

The correct answer is A. (3). (3(2)+y=9), so (6+y=9) and (y=3). While making a table, choose simple (x)-values.

Step 3

Exam Tip

(3(2)+y=9), इसलिए (6+y=9) और (y=3)। तालिका बनाते समय ऐसे सरल (x) मान चुनें।

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रेखा (x+2y=8) पर (y=0) रखने पर (x) का मान क्या होगा?

For the line (x+2y=8), what is the value of (x) when (y=0)?

Explanation opens after your attempt
Correct Answer

A. (8)

Step 1

Concept

Putting (y=0) gives (x+2(0)=8), so (x=8). Finding intercepts helps in drawing the graph.

Step 2

Why this answer is correct

The correct answer is A. (8). Putting (y=0) gives (x+2(0)=8), so (x=8). Finding intercepts helps in drawing the graph.

Step 3

Exam Tip

(y=0) रखने पर (x+2(0)=8), इसलिए (x=8)। अक्ष-अवरोध निकालना ग्राफ बनाने में सहायक होता है।

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रेखा (2x+y=6) पर (x=0) रखने पर (y) का मान क्या होगा?

For the line (2x+y=6), what is the value of (y) when (x=0)?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

Putting (x=0) gives (2(0)+y=6), so (y=6). For drawing a graph, first find such easy values.

Step 2

Why this answer is correct

The correct answer is A. (6). Putting (x=0) gives (2(0)+y=6), so (y=6). For drawing a graph, first find such easy values.

Step 3

Exam Tip

(x=0) रखने पर (2(0)+y=6), इसलिए (y=6)। ग्राफ बनाने के लिए ऐसे आसान मान पहले निकालें।

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यदि (f(x)=x-2+4x), तो (f(-4)) का मान क्या है?

If (f(x)=x-2+4x), what is the value of (f(-4))?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

(f(-4)=(-4)2+4(-4)=16-16=0). Pay attention to signs while substituting negative values.

Step 2

Why this answer is correct

The correct answer is A. (0). (f(-4)=(-4)2+4(-4)=16-16=0). Pay attention to signs while substituting negative values.

Step 3

Exam Tip

(f(-4)=(-4)2+4(-4)=16-16=0) है। ऋणात्मक मान रखते समय चिह्नों पर ध्यान दें।

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बहुपद \(x^2-9\) का कौन सा मान शून्यक है?

Which value is a zero of the polynomial \(x^2-9\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

\(3^2-9=0\), so (3) is a zero. Substituting options is an easy method.

Step 2

Why this answer is correct

The correct answer is B. (3). \(3^2-9=0\), so (3) is a zero. Substituting options is an easy method.

Step 3

Exam Tip

\(3^2-9=0\), इसलिए (3) शून्यक है। विकल्पों को रखकर जांचना आसान तरीका है।

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कौन सा मान (p(x)=x+4) का शून्यक है?

Which value is a zero of (p(x)=x+4)?

Explanation opens after your attempt
Correct Answer

B. (-4)

Step 1

Concept

(p(-4)=-4+4=0), so (-4) is the zero. For (x+a), the zero is (-a).

Step 2

Why this answer is correct

The correct answer is B. (-4). (p(-4)=-4+4=0), so (-4) is the zero. For (x+a), the zero is (-a).

Step 3

Exam Tip

(p(-4)=-4+4=0), इसलिए (-4) शून्यक है। रैखिक बहुपद (x+a) का शून्यक (-a) होता है।

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समीकरण \(x^2-3x+2=0\) के लिए (D) का मान क्या है?

What is the value of (D) for the equation \(x^2-3x+2=0\)?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

Here (D=(-3)2-4(1)(2)=1). Hence (D) is a positive perfect square.

Step 2

Why this answer is correct

The correct answer is A. (1). Here (D=(-3)2-4(1)(2)=1). Hence (D) is a positive perfect square.

Step 3

Exam Tip

यहाँ (D=(-3)2-4(1)(2)=1) है। इसलिए (D) धनात्मक पूर्ण वर्ग है।

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रेखा (y=3x-12) का (x)-अक्ष से कटाव किस (x)-मान पर होगा?

At which (x)-value will the line (y=3x-12) cut the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

On the (x)-axis, (y=0), so (3x-12=0) gives (x=4). This is the zero.

Step 2

Why this answer is correct

The correct answer is A. (4). On the (x)-axis, (y=0), so (3x-12=0) gives (x=4). This is the zero.

Step 3

Exam Tip

(x)-अक्ष पर (y=0), इसलिए (3x-12=0) से (x=4) मिलता है। यही शून्यक है।

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यदि ग्राफ (x)-अक्ष को ((-4,0)) पर काटता है, तो कौन-सा मान बहुपद को शून्य बनाता है?

If a graph cuts the (x)-axis at ((-4,0)), which value makes the polynomial zero?

Explanation opens after your attempt
Correct Answer

A. (-4)

Step 1

Concept

The (x)-coordinate of the intersection point is (-4). Therefore the polynomial value is (0) at (x=-4).

Step 2

Why this answer is correct

The correct answer is A. (-4). The (x)-coordinate of the intersection point is (-4). Therefore the polynomial value is (0) at (x=-4).

Step 3

Exam Tip

कटाव बिंदु का (x)-निर्देशांक (-4) है। इसलिए (x=-4) पर बहुपद का मान (0) होगा।

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यदि \(m=3^2\times5^2\), तो (m) का मान क्या है?

If \(m=3^2\times5^2\), what is the value of (m)?

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Correct Answer

A. 225

Step 1

Concept

\(3^2=9\) and \(5^2=25\).

Step 2

Why this answer is correct

\(9\times25=225\).

Step 3

Exam Tip

Simplify both powers first. चरण 1: \(3^2=9\) और \(5^2=25\) हैं। चरण 2: \(9\times25=225\)। चरण 3: दोनों घातों को पहले सरल करें।

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यदि \(n=2^3\times3\times7\), तो (n) का मान क्या है?

If \(n=2^3\times3\times7\), what is the value of (n)?

Explanation opens after your attempt
Correct Answer

A. 168

Step 1

Concept

\(2^3=8\).

Step 2

Why this answer is correct

\(8\times3\times7=168\).

Step 3

Exam Tip

Multiply to get the number from prime factorisation. चरण 1: \(2^3=8\) है। चरण 2: \(8\times3\times7=168\)। चरण 3: अभाज्य गुणनखंडन से संख्या पाने के लिए गुणा करें।

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यदि \(675=3^a\times5^2\), तो (a) का मान क्या है?

If \(675=3^a\times5^2\), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

A. 3

Step 1

Concept

\(675=27\times25\).

Step 2

Why this answer is correct

\(27=3^3\) and \(25=5^2\), so \(675=3^3\times5^2\).

Step 3

Exam Tip

Comparing gives (a=3). चरण 1: \(675=27\times25\) है। चरण 2: \(27=3^3\) और \(25=5^2\), इसलिए \(675=3^3\times5^2\)। चरण 3: तुलना करने पर (a=3) है।

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यदि \(600=2^a\times3\times5^2\), तो (a) का मान क्या है?

If \(600=2^a\times3\times5^2\), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

A. 3

Step 1

Concept

The prime factorisation of 600 is \(2^3\times3\times5^2\).

Step 2

Why this answer is correct

In the given form, the power of 2 is (a).

Step 3

Exam Tip

Comparing gives (a=3). चरण 1: 600 का अभाज्य गुणनखंडन \(2^3\times3\times5^2\) है। चरण 2: दिए गए रूप में 2 की घात (a) है। चरण 3: तुलना करने पर (a=3) मिलता है।

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यदि \(m=3^2\times5\times7\), तो (m) का मान क्या है?

If \(m=3^2\times5\times7\), what is the value of (m)?

Explanation opens after your attempt
Correct Answer

A. 315

Step 1

Concept

Calculate \(3^2=9\).

Step 2

Why this answer is correct

\(9\times5\times7=315\).

Step 3

Exam Tip

Simplify the factor with a power first. चरण 1: \(3^2=9\) निकालें। चरण 2: \(9\times5\times7=315\)। चरण 3: घात वाले गुणनखंड को पहले सरल करें।

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यदि \(n=2^4\times3\times5\), तो (n) का मान क्या है?

If \(n=2^4\times3\times5\), what is the value of (n)?

Explanation opens after your attempt
Correct Answer

A. 240

Step 1

Concept

\(2^4=16\).

Step 2

Why this answer is correct

\(16\times3\times5=240\).

Step 3

Exam Tip

Multiply to get the number from prime form. चरण 1: \(2^4=16\) है। चरण 2: \(16\times3\times5=240\)। चरण 3: अभाज्य रूप से संख्या पाने के लिए गुणा करें।

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यदि \(150=2\times3\times5^b\), तो (b) का मान क्या है?

If \(150=2\times3\times5^b\), what is the value of (b)?

Explanation opens after your attempt
Correct Answer

A. 2

Step 1

Concept

The prime factorisation of 150 is \(2\times3\times5^2\).

Step 2

Why this answer is correct

In the given form, the power of 5 is (b).

Step 3

Exam Tip

Comparing gives (b=2). चरण 1: 150 का अभाज्य गुणनखंडन \(2\times3\times5^2\) है। चरण 2: दिए गए रूप में 5 की घात (b) है। चरण 3: तुलना करने पर (b=2) है।

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यदि \(132=2^a\times3\times11\), तो (a) का मान क्या है?

If \(132=2^a\times3\times11\), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

A. 2

Step 1

Concept

The prime factorisation of 132 is \(2^2\times3\times11\).

Step 2

Why this answer is correct

In the given form, the power of 2 is (a).

Step 3

Exam Tip

Comparing gives (a=2). चरण 1: 132 का अभाज्य गुणनखंडन \(2^2\times3\times11\) है। चरण 2: दिए गए रूप में 2 की घात (a) है। चरण 3: तुलना करने पर (a=2) मिलता है।

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यदि \(m=3^2\times7\), तो (m) का मान क्या है?

If \(m=3^2\times7\), what is the value of (m)?

Explanation opens after your attempt
Correct Answer

A. 63

Step 1

Concept

\(3^2=9\).

Step 2

Why this answer is correct

\(9\times7=63\).

Step 3

Exam Tip

In an expression with powers, evaluate the power first. चरण 1: \(3^2=9\) है। चरण 2: \(9\times7=63\)। चरण 3: घात वाले रूप में पहले घात का मान निकालें।

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यदि \(n=2^3\times5\), तो (n) का मान क्या है?

If \(n=2^3\times5\), what is the value of (n)?

Explanation opens after your attempt
Correct Answer

A. 40

Step 1

Concept

\(2^3=8\).

Step 2

Why this answer is correct

\(8\times5=40\).

Step 3

Exam Tip

Multiply the factors to convert prime factorisation into the number. चरण 1: \(2^3=8\) है। चरण 2: \(8\times5=40\)। चरण 3: अभाज्य गुणनखंडन को संख्या में बदलने के लिए गुणा करें।

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