If a number has digit 2 at unit place, then its cube has digit _____ at its unit place.

Options

A. 1
B. 2
C. 8
D. 4

Answer

To determine the unit digit of the cube of a number that has 2 at the unit place, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Unit Digit**: We start with a number that has 2 at the unit place. For example, let's consider the number 2.

2. **Cube the Number**: Next, we need to find the cube of this number. The cube of a number \( n \) is calculated as \( n^3 \). So, we calculate \( 2^3 \).

3. **Calculate \( 2^3 \)**:
\[ 2^3 = 2 \times 2 \times 2 = 8 \]

4. **Identify the Unit Digit of the Cube**: The result of \( 2^3 \) is 8. Therefore, the unit digit of the cube of a number that has 2 at the unit place is 8.

### Final Answer:
If a number has digit 2 at the unit place, then its cube has digit **8** at its unit place.