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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. What is the value of 1 2 + 2 2 + 3 2 + ......21 2 ?

  2. Find the greatest number which divides 36, 64 and 92 in such a way that in each case same remainder is left.

  3. Which sequence is correct to represent the hierarchical chain of number system?

    (Where N - Natural Numbers

    W - Whole Numbers

    Q - Rational Numbers

    Z - Integers)

  4. The difference of the place value and the face value of 5 in 26549 is :

  5. What must be added to 45680 to make it exactly divisible by 9?

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