How many times does the digit 2 appear in the integers from 112 to 375…
2026
How many times does the digit 2 appear in the integers from 112 to 375 inclusive?
- A.
157
- B.
145
- C.
200
- D.
172
Attempted by 386 students.
Show answer & explanation
Correct answer: A
Correct answer: 157
The question asks for the number of appearances of digit 2. So a number like 222 contributes three appearances, one in each place.
Units place: 112, 122, 132, ..., 372 → ((372 - 112) / 10) + 1 = 27
Tens place: 120–129, 220–229, and 320–329 → 3 × 10 = 30
Hundreds place: 200–299 → 100
Total = 27 + 30 + 100 = 157.