Question : Out of a total of 9 books arranged in a particular order, the mean of the number of pages in the first 5 books is 430, the mean of the number of pages in the last 5 books is 380 and the mean of the number of pages in all the 9 books is 400. Find the number of pages in the fifth book.
Option 1: 450
Option 2: 420
Option 3: 430
Option 4: 440
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Correct Answer: 450
Solution :
Given: Mean of the number of pages in the first 5 books = 430
Total number of the pages of 5 books = 430 × 5 = 2150
The mean of the number of pages in the last 5 books = 380
Total number of the pages of 5 books = 380 × 5 = 1900
Total number of pages of 10 books = 2150 + 1900 = 4050
The mean of the number of pages in all the 9 books = 400
Total number of the pages of 9 books = 400 × 9 = 3600
The number of pages in the fifth book = 4050 – 3600 = 450
Hence, the correct answer is 450.
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