Question

When listing the integers from $1$ to $1000$, how many times the digit $5$ be written?

• A. $297$
• B. $243$
• C. $300$
• D. $273$

Answer 1

The correct option is C $300$

Given range of integer $(1$to$1000)$

From $1$to $100$

The number of $5$ in unit place $=10$

From $\left(1to1000\right)$ there will be $100$ $5^{\prime }s$ in unit place.

Similarly in $100$ place there will be $10$ ${}^{\prime }{5}^{\prime }{s}^{\prime }$

From $1$to$1000$ There wold be $100$ ${}^{\prime }{5}^{\prime }{s}^{\prime }$ in tens place

Also in ${100}^{\prime }s$ place There would be $100$ ${}^{\prime }{5}^{\prime }{s}^{\prime }$

Total Number of $5^{\prime }s$

$\Rightarrow 100+100+100\Rightarrow 300$

Hence the correct answer is $300$