489th digit in concatenated natural numbers
Question
What is the 489^th digit in the number 123456789101112...?
Options
0
3
6
9
Explanation
Break the continuous string into blocks of numbers based on digit length: 1-digit numbers (1 to 9): 9 numbers × 1 digit = 9 digits. Remaining digits to find: 489 - 9 = 480 digits. 2-digit numbers (10 to 99): 90 numbers × 2 digits = 180 digits. Remaining digits to find: 480 - 180 = 300 digits. These remaining 300 digits belong exclusively to 3-digit numbers (starting from 100). Number of 3-digit numbers this covers = 300 \div 3 = 100 exact numbers. The 100th 3-digit number starting from 100 is: 100 + 100 - 1 = 199. Since 300 divides perfectly by 3, the 489th digit is the very last digit of the number 199, which is 9.
Answer: (d).
Question details
Year
2025
Paper
CSAT
Question
Q68
Section
Numerical Ability
Sub-topic
Number Sequences
Type
Number theory
Difficulty
Medium
Source hint
Number sequence counting
See all questions on Number Sequences
Browse every tagged question across all years