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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Q - Rational Numbers
Z - Integers)
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