Which of the following numbers are divisible by 2,

Options

A. (a) 5834
B. (b) `6623`
C. (c) 5769`
D. (d) `7771`

Answer

To determine which of the following numbers are divisible by 2, we can use the divisibility rule for 2. According to this rule, a number is divisible by 2 if its last digit is either 0, 2, 4, 6, or 8.

Let's analyze the given numbers step by step:

### Step 1: Identify the Numbers
The numbers we need to check are:
1. 5834
2. 6624
3. 5874
4. 5764

### Step 2: Check Each Number for Divisibility by 2
- **For 5834**:
- Last digit is 4 (which is even).
- Therefore, **5834 is divisible by 2**.

- **For 6624**:
- Last digit is 4 (which is even).
- Therefore, **6624 is divisible by 2**.

- **For 5874**:
- Last digit is 4 (which is even).
- Therefore, **5874 is divisible by 2**.

- **For 5764**:
- Last digit is 4 (which is even).
- Therefore, **5764 is divisible by 2**.

### Step 3: Conclusion
All the numbers 5834, 6624, 5874, and 5764 are divisible by 2.

### Final Answer
- **All of the following numbers are divisible by 2**: 5834, 6624, 5874, 5764.

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