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

दो टिकटों की कीमतों का योग (275) रुपये है। महंगा टिकट सस्ते टिकट से (65) रुपये अधिक है। सस्ते टिकट की कीमत क्या है?

The sum of the prices of two tickets is (275) rupees. The costlier ticket is (65) rupees more than the cheaper ticket. What is the price of the cheaper ticket?

Explanation opens after your attempt
Correct Answer

C. (105) रुपये(105) rupees

Step 1

Concept

Let the prices be (x) and (y), so (x+y=275) and (x-y=65). Subtracting gives (2y=210), so the cheaper ticket is (105) rupees.

Step 2

Why this answer is correct

The correct answer is C. (105) रुपये / (105) rupees. Let the prices be (x) and (y), so (x+y=275) and (x-y=65). Subtracting gives (2y=210), so the cheaper ticket is (105) rupees.

Step 3

Exam Tip

यदि कीमतें (x) और (y) हों तो (x+y=275) और (x-y=65)। घटाने से (2y=210), इसलिए सस्ता टिकट (105) रुपये है।

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Question Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

दो टिकटों की कीमतों का योग (180) रुपये है। महंगा टिकट सस्ते टिकट से (40) रुपये अधिक है। महंगे टिकट की कीमत क्या है?

The sum of the prices of two tickets is (180) rupees. The costlier ticket is (40) rupees more than the cheaper ticket. What is the price of the costlier ticket?

Explanation opens after your attempt
Correct Answer

C. (110) रुपये(110) rupees

Step 1

Concept

Let the prices be (x) and (y), so (x+y=180) and (x-y=40). Adding gives (2x=220), so (x=110).

Step 2

Why this answer is correct

The correct answer is C. (110) रुपये / (110) rupees. Let the prices be (x) and (y), so (x+y=180) and (x-y=40). Adding gives (2x=220), so (x=110).

Step 3

Exam Tip

यदि कीमतें (x) और (y) हों तो (x+y=180) और (x-y=40)। जोड़ने पर (2x=220), इसलिए (x=110)।

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Question Hard Mathematics Pair of Linear Equations in Two Variables Graphical method of finding solutions. Class 10 Level 54

एक केस में दो टिकटों का कुल मूल्य (₹100) है और महंगा टिकट सस्ते से (₹20) अधिक है। यदि (x) और (y) टिकट मूल्य हैं, तो ग्राफीय समाधान कौन सा है?

In a case, the total price of two tickets is (₹100), and the costlier ticket is (₹20) more than the cheaper one. If (x) and (y) are ticket prices, what is the graphical solution?

Explanation opens after your attempt
Correct Answer

A. ((40,60))

Step 1

Concept

The equations are (x+y=100) and (y-x=20), giving (x=40), (y=60). In word problems, first form the two correct linear equations.

Step 2

Why this answer is correct

The correct answer is A. ((40,60)). The equations are (x+y=100) and (y-x=20), giving (x=40), (y=60). In word problems, first form the two correct linear equations.

Step 3

Exam Tip

समीकरण (x+y=100) और (y-x=20) हैं, जिनसे (x=40), (y=60)। शब्द-प्रश्न में पहले दो सही रेखीय समीकरण बनाएं।

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Question Medium Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

(720) रुपये में कुछ कॉपियाँ खरीदी गईं। यदि प्रत्येक कॉपी (6) रुपये सस्ती हो जाए तो (4) कॉपियाँ अधिक मिलती हैं। मूल प्रति कॉपी मूल्य क्या था?

Some notebooks are bought for (720) rupees. If each notebook becomes (6) rupees cheaper, (4) more notebooks can be bought. What was the original price per notebook?

Explanation opens after your attempt
Correct Answer

C. (36) रुपये(36) rupees

Step 1

Concept

If the original price is (x), then \(\frac{720}{x-6}-\frac{720}{x}=4\). This gives (x=36).

Step 2

Why this answer is correct

The correct answer is C. (36) रुपये / (36) rupees. If the original price is (x), then \(\frac{720}{x-6}-\frac{720}{x}=4\). This gives (x=36).

Step 3

Exam Tip

मूल मूल्य (x) हो तो \(\frac{720}{x-6}-\frac{720}{x}=4\)। इससे (x=36) मिलता है।

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Question Hard Social Science The Age of Industrialisation The Age of Revolutions: 1830-1848 Class 10 Level 4

यूरोप में छोटे उत्पादकों की कठिनाई का ब्रिटेन से आए सस्ते मशीन निर्मित सामान से क्या संबंध था?

How were the difficulties of small producers in Europe linked with cheap machine-made goods from Britain?

Explanation opens after your attempt
Correct Answer

A. वे सस्ते सामान से प्रतिस्पर्धा नहीं कर पाते थेThey could not compete with cheap goods

Step 1

Concept

Machines in Britain produced cheaper goods.

Step 2

Why this answer is correct

Small European producers could not compete with those cheap goods.

Step 3

Exam Tip

Understand economic pressure as a cause of social discontent. चरण 1: ब्रिटेन में मशीन से सस्ता उत्पादन होता था। चरण 2: छोटे यूरोपीय उत्पादक इस सस्ते माल से मुकाबला नहीं कर सके। चरण 3: आर्थिक दबाव को सामाजिक असंतोष का कारण समझें।

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