Q. Digit 1 is occurring 136 times on writing all of the page numbers of a book. What will be the number of pages in the book?
β
Correct Answer: (B)
195
Explanation: From 1 - 99, the digit 1 occurs 20 times, and from 100 - 199, the digit 1 occurs 120 times.
So, from 1 to 199, the digit 1 occurs -
20 + 120 = 140 times
According to question 1 is occurring only 136 times, which means we need to remove 196, 197, 198, and 199. So, the required number of pages will be 195.
Explanation by: Praveen Singh
From 1 - 99, the digit 1 occurs 20 times, and from 100 - 199, the digit 1 occurs 120 times.
So, from 1 to 199, the digit 1 occurs -
20 + 120 = 140 times
According to question 1 is occurring only 136 times, which means we need to remove 196, 197, 198, and 199. So, the required number of pages will be 195.
So, from 1 to 199, the digit 1 occurs -
20 + 120 = 140 times
According to question 1 is occurring only 136 times, which means we need to remove 196, 197, 198, and 199. So, the required number of pages will be 195.