# Q. What is the number of fives used in numbering a 260-page book?

a) 55

b) 56

c) 57

d) 60

Correct answer: b) 56

##### Question from UPSC Prelims 2024 CSAT Paper

**Explanation:**

## Number of fives in 260-page book

To count the fives in a 260-page book:

1. Last digit (ones place):

– Appears every 10 pages: 5, 15, 25, …, 255

– Count: 26 times

2. Middle digit (tens place):

– Appears in 50-59, 150-159, 250-259

– Count: 3 sets of 10 = 30 times

3. First digit (hundreds place):

– Never appears (book doesn’t reach 500)

– Count: 0 times

Total count of fives: 26 + 30 + 0 = 56