Permutation, Combination and Probability (UPSC) Part-II

Total Questions: 51

51. What is the number of fives used in numbering a 260-page book? [2024-II]

Correct Answer: (b) 56
Solution:

From 1 to 100, 5 appears 20 times.
Similarly, from 101 to 200, 5 appears 20 times.
Similarly, from 201 to 300, 5 appears 20 timess.

Now, we need to check the numbers after 260. Such numbers having 5 are 265, 275, 285, 295 i.e. 4 numbers.

So, the number of 5’s used from 1 to 260
= (20 + 20 + 20) – 4 = 56