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solution check MCQ Questions for Class 10

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Question 1/12 Medium Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 57

कौन-सा क्रमित युग्म (3x+2y=19) और (x-y=3) को संतुष्ट करता है?

Which ordered pair satisfies (3x+2y=19) and (x-y=3)?

Explanation opens after your attempt
Correct Answer

D. (x=5,\ y=2)

Step 1

Concept

From (x-y=3), (x=y+3). Substitution in the first equation gives (y=2) and (x=5).

Step 2

Why this answer is correct

The correct answer is D. (x=5,\ y=2). From (x-y=3), (x=y+3). Substitution in the first equation gives (y=2) and (x=5).

Step 3

Exam Tip

(x-y=3) से (x=y+3) मिलता है। पहले समीकरण में रखने पर (y=2) और (x=5)।

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Question 2/12 Hard Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

रेखाएँ (4x+3y=34) और (4x-y=10) का सही प्रतिच्छेद बिंदु क्या है?

What is the correct intersection point of (4x+3y=34) and (4x-y=10)?

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(4,6\right\))Point (\left\(4,6\right\))

Step 1

Concept

Subtracting the equations gives (4y=24), so (y=6). Then (4x-6=10) gives (x=4).

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(4,6\right\)) / Point (\left\(4,6\right\)). Subtracting the equations gives (4y=24), so (y=6). Then (4x-6=10) gives (x=4).

Step 3

Exam Tip

दोनों समीकरण घटाने पर (4y=24), इसलिए (y=6)। फिर (4x-6=10) से (x=4)।

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Question 3/12 Hard Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखाएँ (2x+3y=19) और (2x-y=7) का सही प्रतिच्छेद बिंदु क्या है?

What is the correct intersection point of (2x+3y=19) and (2x-y=7)?

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(5,3\right\))Point (\left\(5,3\right\))

Step 1

Concept

Substituting (\left\(5,3\right\)) gives (2\left\(5\right\)+3\left\(3\right\)=19) and (2\left\(5\right\)-3=7). If both are true, this is the solution.

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(5,3\right\)) / Point (\left\(5,3\right\)). Substituting (\left\(5,3\right\)) gives (2\left\(5\right\)+3\left\(3\right\)=19) and (2\left\(5\right\)-3=7). If both are true, this is the solution.

Step 3

Exam Tip

(\left\(5,3\right\)) रखने पर (2\left\(5\right\)+3\left\(3\right\)=19) और (2\left\(5\right\)-3=7)। दोनों सत्य हों तो यही हल है।

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Question 4/12 Medium Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54

कौन-सा समीकरण युग्म ग्राफ पर मूलबिंदु (\left\(0,0\right\)) पर कटेगा?

Which pair of equations will intersect at the origin (\left\(0,0\right\)) on the graph?

Explanation opens after your attempt
Correct Answer

B. (2x-y=0) और (x+3y=0)(2x-y=0) and (x+3y=0)

Step 1

Concept

(\left\(0,0\right\)) satisfies both (2x-y=0) and (x+3y=0). To check origin, put (x=0,\ y=0).

Step 2

Why this answer is correct

The correct answer is B. (2x-y=0) और (x+3y=0) / (2x-y=0) and (x+3y=0). (\left\(0,0\right\)) satisfies both (2x-y=0) and (x+3y=0). To check origin, put (x=0,\ y=0).

Step 3

Exam Tip

(\left\(0,0\right\)) दोनों समीकरणों (2x-y=0) और (x+3y=0) को संतुष्ट करता है। मूलबिंदु की जाँच में (x=0,\ y=0) रखें।

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Question 5/12 Medium Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54

रेखाएँ (3x+2y=16) और (x+y=6) किस बिंदु पर कटती हैं?

At which point do the lines (3x+2y=16) and (x+y=6) intersect?

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(4,2\right\))Point (\left\(4,2\right\))

Step 1

Concept

At (\left\(4,2\right\)), (3\left\(4\right\)+2\left\(2\right\)=16) and (4+2=6). If both are true, the point is the intersection.

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(4,2\right\)) / Point (\left\(4,2\right\)). At (\left\(4,2\right\)), (3\left\(4\right\)+2\left\(2\right\)=16) and (4+2=6). If both are true, the point is the intersection.

Step 3

Exam Tip

(\left\(4,2\right\)) पर (3\left\(4\right\)+2\left\(2\right\)=16) और (4+2=6)। दोनों सत्य हों तो बिंदु प्रतिच्छेद है।

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Question 6/12 Medium Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

कौन-सा समीकरण युग्म ग्राफ पर मूलबिंदु ( (0,0) ) पर कटेगा?

Which pair of equations will intersect at the origin ( (0,0) ) on the graph?

Explanation opens after your attempt
Correct Answer

B. (3x+y=0) और (x-2y=0)(3x+y=0) and (x-2y=0)

Step 1

Concept

( (0,0) ) satisfies both (3x+y=0) and (x-2y=0). For origin, put (x=0,\ y=0).

Step 2

Why this answer is correct

The correct answer is B. (3x+y=0) और (x-2y=0) / (3x+y=0) and (x-2y=0). ( (0,0) ) satisfies both (3x+y=0) and (x-2y=0). For origin, put (x=0,\ y=0).

Step 3

Exam Tip

( (0,0) ) दोनों समीकरणों (3x+y=0) और (x-2y=0) को संतुष्ट करता है। मूलबिंदु के लिए (x=0,\ y=0) रखें।

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Question 7/12 Medium Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 53

समीकरण (2x-y=1) और (x+y=8) का प्रतिच्छेद बिंदु कौन-सा है?

What is the intersection point of (2x-y=1) and (x+y=8)?

Explanation opens after your attempt
Correct Answer

B. ( (3,5) )

Step 1

Concept

Substituting ( (3,5) ) gives (2(3)-5=1) and (3+5=8). If both equations are true, that point is the graphical solution.

Step 2

Why this answer is correct

The correct answer is B. ( (3,5) ). Substituting ( (3,5) ) gives (2(3)-5=1) and (3+5=8). If both equations are true, that point is the graphical solution.

Step 3

Exam Tip

( (3,5) ) रखने पर (2(3)-5=1) और (3+5=8)। दोनों समीकरण सत्य हों तो वही ग्राफीय हल है।

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Question 8/12 Medium Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

रेखाएँ (2x-y=4) और (x+2y=7) का प्रतिच्छेद कौन-सा है?

What is the intersection of (2x-y=4) and (x+2y=7)?

Explanation opens after your attempt
Correct Answer

A. ( (3,2) )

Step 1

Concept

Putting ( (3,2) ) gives (2(3)-2=4) and (3+2(2)=7). If both are true, that point is the solution.

Step 2

Why this answer is correct

The correct answer is A. ( (3,2) ). Putting ( (3,2) ) gives (2(3)-2=4) and (3+2(2)=7). If both are true, that point is the solution.

Step 3

Exam Tip

( (3,2) ) रखने पर (2(3)-2=4) और (3+2(2)=7)। दोनों सत्य हों तो वही हल है।

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Question 9/12 Medium Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

किस समीकरण युग्म की रेखाएँ ग्राफ पर मूलबिंदु ( (0,0) ) पर मिलेंगी?

Which pair of equations will have lines meeting at the origin ( (0,0) ) on the graph?

Explanation opens after your attempt
Correct Answer

B. (2x+y=0) और (x-y=0)(2x+y=0) and (x-y=0)

Step 1

Concept

( (0,0) ) satisfies both (2x+y=0) and (x-y=0). To check the origin, put (x=0,\ y=0).

Step 2

Why this answer is correct

The correct answer is B. (2x+y=0) और (x-y=0) / (2x+y=0) and (x-y=0). ( (0,0) ) satisfies both (2x+y=0) and (x-y=0). To check the origin, put (x=0,\ y=0).

Step 3

Exam Tip

( (0,0) ) दोनों समीकरणों (2x+y=0) और (x-y=0) को संतुष्ट करता है। मूलबिंदु की जाँच के लिए (x=0,\ y=0) रखें।

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Question 10/12 Easy Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 52

समीकरण (x+3y=9) और (x+y=5) का हल कौन-सा है?

Which is the solution of (x+3y=9) and (x+y=5)?

Explanation opens after your attempt
Correct Answer

A. ( (3,2) )

Step 1

Concept

Putting ( (3,2) ) gives (3+3(2)=9) and (3+2=5). If both equations are satisfied, the point is correct.

Step 2

Why this answer is correct

The correct answer is A. ( (3,2) ). Putting ( (3,2) ) gives (3+3(2)=9) and (3+2=5). If both equations are satisfied, the point is correct.

Step 3

Exam Tip

( (3,2) ) रखने पर (3+3(2)=9) और (3+2=5)। दोनों समीकरण संतुष्ट हों तो बिंदु सही है।

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Question 11/12 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

कौन सा मान \(x^2-3x-10=0\) का हल है?

Which value is a solution of \(x^2-3x-10=0\)?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

Since \(5^2-3\cdot5-10=0\), (x=5) is a solution.

Step 2

Why this answer is correct

The correct answer is C. (5). Since \(5^2-3\cdot5-10=0\), (x=5) is a solution.

Step 3

Exam Tip

\(5^2-3\cdot5-10=0\) है। इसलिए (x=5) हल है।

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Question 12/12 Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

यदि (x=3) है तो \(x^2-4x+3=0\) में बायां पक्ष कितना होगा?

If (x=3), what is the left side of \(x^2-4x+3=0\)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

Substitution gives \(3^2-4\cdot3+3=0\). So (x=3) is a solution.

Step 2

Why this answer is correct

The correct answer is A. (0). Substitution gives \(3^2-4\cdot3+3=0\). So (x=3) is a solution.

Step 3

Exam Tip

रखने पर \(3^2-4\cdot3+3=0\) मिलता है। इसलिए (x=3) हल है।

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