`7x34` divisible by 9 ?

Options

A. `4`
B. `5`
C. `6`
D. `7`

Answer

To determine if \( 7 \times 34 \) is divisible by 9, we can follow these steps:

### Step-by-Step Solution:

1. **Calculate \( 7 \times 34 \)**:
\[ 7 \times 34 = 238 \]

2. **Find the sum of the digits of 238**:
\[ 2 + 3 + 8 = 13 \]

3. **Check if the sum (13) is divisible by 9**:
- To check divisibility by 9, we see if the sum of the digits (13) can be divided by 9 without a remainder.
\[ 13 \div 9 = 1 \quad \text{(remainder 4)} \]
Since there is a remainder, 13 is not divisible by 9.

4. **Conclusion**:
Since the sum of the digits (13) is not divisible by 9, we conclude that \( 238 \) (or \( 7 \times 34 \)) is not divisible by 9.

### Final Answer:
No, \( 7 \times 34 \) is not divisible by 9.

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