Question

How many times will the digit `7' be written when writing the integers from 1 to 1000?

• A. 100
• B. 300
• C. 190
• D. 210
• E. None of these

Answer 1

The correct option is B

300

The possibilities of the number '7' from 001 to 999 are -

7 __ __ = 1 x 10 x 10 = 100 7s'.

7 __ = 10 x 1 x 10 = 100 7s'.

7 = 10 x 10 x 1 = 100 7s'.

$\therefore$ The number of times 7 will be written when listing the numbers from 1 to 1000 is 300.