Which of the following number is completely divisible by 4?

Options

A. 97634
B. 47654
C. 83544
D. 31459

Answer

To determine which of the given numbers is completely divisible by 4, we can follow these steps:

### Step 1: Understand the Rule of Divisibility by 4
The rule states that a number is divisible by 4 if the number formed by its last two digits is divisible by 4.

### Step 2: Check Each Option
We will check the last two digits of each number provided in the options.

#### Option A: 97634
- Last two digits: **34**
- Check divisibility: \( 34 \div 4 = 8.5 \) (Remainder = 2)
- Since the remainder is not 0, **97634 is NOT divisible by 4**.

#### Option B: 47654
- Last two digits: **54**
- Check divisibility: \( 54 \div 4 = 13.5 \) (Remainder = 2)
- Since the remainder is not 0, **47654 is NOT divisible by 4**.

#### Option C: 83544
- Last two digits: **44**
- Check divisibility: \( 44 \div 4 = 11 \) (Remainder = 0)
- Since the remainder is 0, **83544 is divisible by 4**.

#### Option D: 31459
- Last two digits: **59**
- Check divisibility: \( 59 \div 4 = 14.75 \) (Remainder = 3)
- Since the remainder is not 0, **31459 is NOT divisible by 4**.

### Conclusion
The only number that is completely divisible by 4 is **83544** (Option C).

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