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Question

How many total number of digits is used in numbering the book having 129 pages?

The correct answer is

279

To count the total digits used in numbering 129 pages, we split the page numbers into groups based on the number of digits.

Pages 1 to 9 (1-digit numbers): There are 9 pages, each using 1 digit.

Digits used = \(9 \times 1 = 9\)

Pages 10 to 99 (2-digit numbers): There are \(99 - 10 + 1 = 90\) pages, each using 2 digits.

Digits used = \(90 \times 2 = 180\)

Pages 100 to 129 (3-digit numbers): There are \(129 - 100 + 1 = 30\) pages, each using 3 digits.

Digits used = \(30 \times 3 = 90\)

Total digits = \(9 + 180 + 90 = 279\)

Hence, the correct answer is 279.

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Important Questions from Number System

  1. The number 253118139 is divisible by which of the following?
  2. The number of prime numbers lying between 476 and 485, both included, is:
  3. The product of two consecutive natural numbers is 6. The greater of the two numbers is:
  4. Which of the following numbers divides 386937355?
  5. If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 8317456, what will be the sum of the digits that are second from the left and second from the right?

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