Correct Answer - Option 4 : 39
Detailed solution:
Number of 2's from 1 to 100 = 2, 12, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 32, 42, 52, 62, 72, 82, 92
18 numbers have single 2's and 1 (i.e. 22) has double 2's
Number of 2's written from 1 to 100 = 18 + 2
⇒ 20
Similarly,
Number of 2's written from 101 to 199 = 20
Number of 2's written from 1 to 199 = 20 + 20
⇒ 40
Number of 2's written from 11 to 199 = 40 - 1
⇒ 39
∴ While writing down numbers from 11 to 199, 2 will be written 39 times
