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A book having pages between 4,000 and 5,000 is divided into four parts, each part being divided into chapters. The total number of pages in each of the four parts is the same. The ratio of the chapters across all the parts is 6:5:10:14. The number of chapters in the fourth part is 70


Q.What is the total number of pages in the book?

  • a)
    4,000

  • b)
    4,800

  • c)
    4,200

  • d)
    4,600

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Read the passage below and solve the questions based on it.A book havi...
► According to question, A:B:C:D = 6:5:10:14

► Now in D there are 70 chapters

Therefore, A:B:C:D = 30:25:50:70      [ Multiplying Each by 5 ]

L.C.M of 30, 25, 50, 70 is 1050

So each part should have 1050 pages.

So total pages = 4 x 1050 = 4200 ans.
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Most Upvoted Answer
Read the passage below and solve the questions based on it.A book havi...
Finding the Total Number of Pages in the Book

Given:
- The book has pages between 4,000 and 5,000
- The book is divided into four parts
- The total number of pages in each part is the same
- The ratio of chapters across all parts is 6:5:10:14
- The number of chapters in the fourth part is 70

To find:
- The total number of pages in the book

Solution:
1. Let the total number of pages in each part be x.
2. The total number of pages in the book is 4x since the book is divided into four parts with the same number of pages.
3. Let the number of chapters in the first, second, third, and fourth parts be 6k, 5k, 10k, and 14k, respectively, where k is a constant.
4. Since the number of chapters in the fourth part is 70, we have:
14k = 70
k = 5
5. Therefore, the number of chapters in the first, second, third, and fourth parts are 30, 25, 50, and 70, respectively.
6. The total number of chapters in the book is 30+25+50+70=175.
7. Since each part has the same number of pages, we have:
x = total number of pages / 4
x = (number of chapters * x) / (6+5+10+14)
x = (175 * x) / 35
x = 5x
8. Therefore, x = 1,000.
9. The total number of pages in the book is 4x = 4*1000 = 4,000.

Therefore, the correct answer is option (c) 4,200.
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Read the passage below and solve the questions based on it.A book having pages between 4,000 and 5,000 is divided into four parts, each part being divided into chapters. The total number of pages in each of the four parts is the same. The ratio of the chapters across all the parts is 6:5:10:14. The number of chapters in the fourth part is 70Q.What is the total number of pages in the book?a)4,000b)4,800c)4,200d)4,600Correct answer is option 'C'. Can you explain this answer?
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