How many numbers from the following are such that they are divisible by 113?
226, 339, 452, 566, 677, 791, 904, 1017 and 1121.

Options

A. 3
B. 4
C. 5
D. 6

Answer

To determine how many numbers from the given list are divisible by 113, we will divide each number by 113 and check if the remainder is zero. If the remainder is zero, it means the number is divisible by 113.

### Step-by-Step Solution:

1. **List the numbers to check:**
- 226
- 339
- 452
- 566
- 677
- 791
- 904
- 1017
- 1121

2. **Check each number for divisibility by 113:**

- **For 226:**
\[ 226 \div 113 = 2 \quad \text{(remainder 0)} \]
226 is divisible by 113.

- **For 339:**
\[ 339 \div 113 = 3 \quad \text{(remainder 0)} \]
339 is divisible by 113.

- **For 452:**
\[ 452 \div 113 = 4 \quad \text{(remainder 0)} \]
452 is divisible by 113.

- **For 566:**
\[ 566 \div 113 = 5 \quad \text{(remainder 1)} \]
566 is not divisible by 113.

- **For 677:**
\[ 677 \div 113 = 5 \quad \text{(remainder 112)} \]
677 is not divisible by 113.

- **For 791:**
\[ 791 \div 113 = 7 \quad \text{(remainder 0)} \]
791 is divisible by 113.

- **For 904:**
\[ 904 \div 113 = 8 \quad \text{(remainder 0)} \]
904 is divisible by 113.

- **For 1017:**
\[ 1017 \div 113 = 9 \quad \text{(remainder 0)} \]
1017 is divisible by 113.

- **For 1121:**
\[ 1121 \div 113 = 9 \quad \text{(remainder 112)} \]
1121 is not divisible by 113.

3. **Count the numbers that are divisible by 113:**
- The numbers that are divisible by 113 are: 226, 339, 452, 791, 904, and 1017.
- Total count = 6 numbers.

### Final Answer:
There are **6 numbers** from the given list that are divisible by 113.

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