Explanation:

- To find how many times the digit '1' appears from 1 to 300, let's analyze each digit place.

- Units place: Each complete series of 10 numbers (like 1-10, 11-20, etc.) contains exactly one '1'. There are 30 complete series within 1-300, so it appears 30 times.

- Tens place: In each series of 100 numbers (like 1-100, 101-200, etc.), '1' appears in the tens place 10 times (11-19, 111-119). With 3 series in 1-300, this sums to 30 appearances.

- Hundreds place: From 100-199, '1' appears in the hundreds place 100 times (100 numbers).

- Adding these, 30 (units) + 30 (tens) + 100 (hundreds) = 160 times.

- Option 1: 160 is correct.