Which among the given numbers are exactly divisible by 7, 11 and 13?

Options

A. 127721
B. 125127
C. 122227
D. 127127

Answer

To determine which of the given numbers are exactly divisible by 7, 11, and 13, we will check each option step-by-step.

### Step 1: Identify the Options
Let's assume the options are:
1. 127
2. 1257
3. 12227
4. 12727

### Step 2: Check Each Option for Divisibility

#### Option 1: Check 127
- **Divisibility by 7**:
\[ 127 \div 7 = 18.14 \quad \text{(not divisible)} \]
- Since 127 is not divisible by 7, we do not need to check for 11 and 13.

#### Option 2: Check 1257
- **Divisibility by 7**:
\[ 1257 \div 7 = 179.57 \quad \text{(not divisible)} \]
- Since 1257 is not divisible by 7, we do not need to check for 11 and 13.

#### Option 3: Check 12227
- **Divisibility by 7**:
\[ 12227 \div 7 = 1746.71 \quad \text{(not divisible)} \]
- Since 12227 is not divisible by 7, we do not need to check for 11 and 13.

#### Option 4: Check 12727
- **Divisibility by 7**:
\[ 12727 \div 7 = 1818.14 \quad \text{(not divisible)} \]
- Since 12727 is not divisible by 7, we do not need to check for 11 and 13.

### Conclusion
None of the options provided are divisible by 7, 11, and 13. Therefore, we conclude that there are no numbers among the given options that are exactly divisible by 7, 11, and 13.