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Question
How many times does the digit 9 occur between 1 and 100?
Options
11
15
18
20
Solution
20
Explanation:
Let me show you how,
Between 1 and 100, the digit 9 occurs in 9, 19, 29, 39, 49, 59, 69, 79, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98 and 99.
- 1 ⇒ 9
- 2 ⇒ 19
- 3 ⇒ 29
- 4 ⇒ 39
- 5 ⇒ 49
- 6 ⇒ 59
- 7 ⇒ 69
- 8 ⇒ 79
- 9 ⇒ 89
- 10 ⇒ 90
- 11 ⇒ 91
- 12 ⇒ 92
- 13 ⇒ 93
- 14 ⇒ 94
- 15 ⇒ 95
- 16 ⇒ 96
- 17 ⇒ 97
- 18 ⇒ 98
- 19 and 20 ⇒ 99
∴ The digit occurs 20 times between 1 and 100.
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