Which of the given value is exactly divisible by 30?

Options

A. 2530
B. 1570
C. 2370
D. 1520

Answer

To determine which of the given values is exactly divisible by 30, we need to check each option based on the divisibility rules for 30. A number is divisible by 30 if it is divisible by both 3 and 10.

### Step-by-Step Solution:

1. **Identify the Options**: The options given are:
- Option 1: 2, 5, 3, 0
- Option 2: 1, 5, 7, 0
- Option 3: 2, 3, 7, 0
- Option 4: 1, 5, 2, 0

2. **Check for Divisibility by 10**: A number is divisible by 10 if it ends in 0. All options end with 0, so they all satisfy this condition.

3. **Check for Divisibility by 3**: A number is divisible by 3 if the sum of its digits is divisible by 3. We will calculate the sum of the digits for each option.

- **Option 1**: 2, 5, 3, 0
- Sum = 2 + 5 + 3 + 0 = 10
- 10 is not divisible by 3.

- **Option 2**: 1, 5, 7, 0
- Sum = 1 + 5 + 7 + 0 = 13
- 13 is not divisible by 3.

- **Option 3**: 2, 3, 7, 0
- Sum = 2 + 3 + 7 + 0 = 12
- 12 is divisible by 3 (12 ÷ 3 = 4).

- **Option 4**: 1, 5, 2, 0
- Sum = 1 + 5 + 2 + 0 = 8
- 8 is not divisible by 3.

4. **Conclusion**: The only option that is divisible by both 10 and 3 is **Option 3: 2, 3, 7, 0**. Therefore, this option is exactly divisible by 30.

### Final Answer:
**Option 3: 2, 3, 7, 0** is exactly divisible by 30.