Which of the given values is divisible by 15?

Options

A. 2365
B. 1375
C. 4365
D. 2275

Answer

To determine which of the given values is divisible by 15, we need to check if each number is divisible by both 3 and 5. Here’s a step-by-step solution:

### Step 1: Understand the divisibility rules
A number is divisible by 15 if it is divisible by both 3 and 5.

### Step 2: Check the first option: 2, 3, 6, 5
- **Divisibility by 5**: A number is divisible by 5 if it ends in 0 or 5. The last digit is 5, so it is divisible by 5.
- **Divisibility by 3**: To check for divisibility by 3, we sum the digits:
- \(2 + 3 + 6 + 5 = 16\)
- Since 16 is not divisible by 3, this number is not divisible by 15.

### Step 3: Check the second option: 7, 5, 3, 5
- **Divisibility by 5**: The last digit is 5, so it is divisible by 5.
- **Divisibility by 3**: Sum the digits:
- \(7 + 5 + 3 + 5 = 20\)
- Since 20 is not divisible by 3, this number is not divisible by 15.

### Step 4: Check the third option: 4, 3, 6, 5
- **Divisibility by 5**: The last digit is 5, so it is divisible by 5.
- **Divisibility by 3**: Sum the digits:
- \(4 + 3 + 6 + 5 = 18\)
- Since 18 is divisible by 3, this number is divisible by both 3 and 5, thus it is divisible by 15.

### Step 5: Check the fourth option: 5, 7, 2, 2
- **Divisibility by 5**: The last digit is 2, so it is not divisible by 5.
- Since it is not divisible by 5, we do not need to check for divisibility by 3. This number is not divisible by 15.

### Conclusion:
The only number that is divisible by both 3 and 5 is **4, 3, 6, 5**. Therefore, the answer is **C**.

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