How many times digit 3 appear in the counting from 1 to 1000?

300

The correct answer is Option (1) → 300

Mathematical Breakdown

Units Place: The digit 3 appears in the units place once in every 10 numbers (3, 13, 23, ..., 993). In 1000 numbers, it appears: $1000 \div 10 = 100$ times.

Tens Place: The digit 3 appears in the tens place 10 times in every 100 numbers (30, 31, ..., 39). In 1000 numbers, there are 10 such sets of 100. So, it appears: $10 \times 10 = 100$ times.

Hundreds Place: The digit 3 appears in the hundreds place for all numbers from 300 to 399. This range contains exactly 100 numbers. So, it appears: 100 times.

Total occurrences: $100 \text{ (units)} + 100 \text{ (tens)} + 100 \text{ (hundreds)} = 300$.