How many times is the digit 3 written when writing the numbers from 0 to 95?
2016
How many times is the digit 3 written when writing the numbers from 0 to 95?
- A.
20
- B.
11
- C.
18
- D.
21
Attempted by 35 students.
Show answer & explanation
Correct answer: A
Key idea: Count the digit 3 separately in the tens place and the units place.
Tens place: 30 to 39 contain ten 3s.
Units place: 3, 13, 23, 33, 43, 53, 63, 73, 83, 93 contain ten 3s.
The number 33 contributes two 3s, one in each place, so it is correctly counted twice.
Answer: 10 + 10 = 20