The digit of unit place in `(378 xx 236 xx 459 xx 312)` will be

Options

A. 6
B. 8
C. 2
D. 4

Answer

To find the unit digit of the expression \( 378 \times 236 \times 459 \times 312 \), we can focus only on the unit digits of each number involved in the multiplication.

### Step-by-Step Solution:

1. **Identify the unit digits of each number**:
- The unit digit of **378** is **8**.
- The unit digit of **236** is **6**.
- The unit digit of **459** is **9**.
- The unit digit of **312** is **2**.

2. **Multiply the unit digits**:
- We will multiply the unit digits together: \( 8 \times 6 \times 9 \times 2 \).

3. **Calculate \( 8 \times 6 \)**:
- \( 8 \times 6 = 48 \).
- The unit digit of **48** is **8**.

4. **Now multiply the result by the next unit digit \( 9 \)**:
- \( 8 \times 9 = 72 \).
- The unit digit of **72** is **2**.

5. **Finally, multiply this result by the last unit digit \( 2 \)**:
- \( 2 \times 2 = 4 \).
- The unit digit of **4** is **4**.

6. **Conclusion**:
- Therefore, the unit digit of the entire expression \( 378 \times 236 \times 459 \times 312 \) is **4**.

### Final Answer:
The digit of the unit place in \( 378 \times 236 \times 459 \times 312 \) is **4**.

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