a printer number the page of a book starting with 1 and uses 3189 digits in all How many pages dose the book have ?
Choose the correct choice from the following options:
A) 1000  B) 1074  C) 1075  D) 1080  E) None of these
Solution   No of digits in 1-digit page nos. = 1 * 9= 
<gadget id="calculator">1 * 9</gadget>
<output>9</output>
9 .   No of digits in 2-digit page nos.= 2 * 90= 
<gadget id="calculator">2 * 90</gadget>
<output>180</output>
180.   No of digits in 3-digit page nos.= 3 * 900= 
<gadget id="calculator">3 * 900</gadget>
<output>2_700</output>
2700 .   No of digits in 4-digit page nos.= 3189 - (9 + 180 + 2700) = 3189 - 2889= 
<gadget id="calculator">3189 - 2889</gadget>
<output>300</output>
300.   ∴ N0. of pages with 4-digit page nos.= (300/4)= 
<gadget id="calculator">(300/4)</gadget>
<output>75</output>
75   Hence, total number of pages= (999 + 75)= 
<gadget id="calculator">(999 + 75)</gadget>
<output>1_074</output>
1074 .   Answer 1074
<result>B</result>
a printer number the page of a book starting with 1 and uses 3189 digits in all How many pages dose the book have ?