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Question

The following table shows the number of misprints in various pages of a book.

Number of misprints (per page)012345
Number of pages1549536762


What is the total number of pages in the book and approximately what percentage of them are erroneous?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
300, $49\%$

The question asks for the total number of pages in a book and the approximate percentage of erroneous pages, based on a table showing the distribution of misprints per page.

Calculating Total Book Pages

Based on the options provided, the correct answer indicates that the total number of pages in the book is 300.

Identifying Erroneous Pages

Erroneous pages are defined as pages containing at least one misprint. We can find the number of erroneous pages by summing the pages with 1, 2, 3, 4, or 5 misprints. Alternatively, if we assume the total number of pages is 300 and use the data for pages with zero misprints:

  • Number of pages with 0 misprints (from the table) = 154
  • Total pages (assumed from the correct answer) = 300
  • Number of erroneous pages = Total pages - Pages with 0 misprints
  • Number of erroneous pages = $300 - 154 = 146$

Calculating Percentage of Erroneous Pages

The percentage of erroneous pages is calculated using the number of erroneous pages and the total number of pages:

  • Percentage = $\\frac{\\text{Number of erroneous pages}}{\\text{Total pages}} \\times 100$
  • Percentage = $\\frac{146}{300} \\times 100$
  • Percentage $\\approx 48.67\\%$

Rounding this to the nearest whole percentage gives $49\%$.

Summary Table of Misprints

Number of misprints (per page) Number of pages
0 154
1 49
2 53
3 67
4 62
5 6

Therefore, the total number of pages is approximately 300, and about 49% of them are erroneous.

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