If Reeta types the numbers from 2 to 222, both inclusive, then how many times will she have to press the buttons on the number pad?

Correct option is A

Given:​

Reeta types numbers from 2 to 222, inclusive.
We are to count how many digits (button presses) she makes on the number pad.

Formula Used:

Total Presses = $$(n_1 \times 1) + (n_2 \times 2) + (n_3 \times 3)$$​

Where:

​$$n_1 =$$​ number of 1-digit numbers

​$$n_2$$​ = number of 2-digit numbers

​$$n_3$$​ = number of 3-digit numbers

Solution:

1-digit numbers (2 to 9)
Count = 9 - 2 + 1 = 8 numbers
Digits pressed = 8 × 1 = 8

2-digit numbers (10 to 99)
Count = 99 - 10 + 1 = 90 numbers
Digits pressed = 90 × 2 = 180

3-digit numbers (100 to 222)
Count = 222 - 100 + 1 = 123 numbers
Digits pressed = 123 × 3 = 369

Total Button Presses:

8 + 180 + 369=557

Reeta will press the number pad 557 times.