Question

For any natural number n, \( 5^n \) ends with the digit :

• A. 0
• B. 5
• C. 3
• D. 2

Hint:

Numbers ending in 0, 1, 5, or 6 always have the same digit at the units place for any natural power \( n \).

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
The last digit (unit digit) of a number raised to a power depends on the cyclicity of that digit.
Step 2: Detailed Explanation:
Let's calculate the first few powers of 5:
\[ 5^1 = 5 \]
\[ 5^2 = 25 \]
\[ 5^3 = 125 \]
\[ 5^4 = 625 \]
Observing the pattern, the unit digit is always 5.
Mathematically, the product of any number ending in 5 with 5 will always result in a number ending in 5.
Step 3: Final Answer:
For any natural number \( n \), \( 5^n \) ends with the digit 5.