Question
Download Solution PDFHow many times does the digit 2 appear when you count between 100 to 1000?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
We need to find how many times the digit 2 appears when counting between 100 to 1000.
Formula used:
Count the occurrences of the digit '2' in each position (hundreds, tens, units) for numbers ranging from 100 to 999.
Calculation:
1. Count digit '2' in the hundreds place:
⇒ Numbers: 200 to 299
⇒ Total: 100 occurrences
2. Count digit '2' in the tens place:
⇒ Numbers: 120 to 129, 220 to 229, ..., 920 to 929
⇒ Total: 9 × 10 = 90 occurrences
3. Count digit '2' in the units place:
⇒ Numbers: 102, 112, ..., 992
⇒ Total: 10 × 9 = 90 occurrences
∴ Total occurrences of digit '2' = 100 + 90 + 90 = 280
∴ The correct answer is option (4).
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