Question

Pages of a book are numbered sequentially 1,2,3....N. If 3689 digit are used in numbering all the pages, what is the number of pages in the book

Answer 1

Step-by-step explanation:

◆ Answer -

Total pages in book = 1199

● Explanation -

To number single-digit pages 1 to 9,

Digits used = 1 × 9

Digits used = 9

To number double-digit pages 10 to 99,

Digits used = 2 × 90

Digits used = 180

To number three-digit pages 100 to 999,

Digits used = 3 × 900

Digits used = 2700

Total number of digits used in numbering is 3689. Thus digits used in numbering four-digit pages will be -

Digits used = 3689 - 9 - 180 - 2700

Digits used = 800

Thus 4 digit number pages will be -

4-digit pages = 800/4

4-digit pages = 200

To know 200th four-digit number -

Total pages = 999 + 200

Total pages = 1199

Thus the book contains 1199 pages.

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