what should come in place of 'x' so that the number 873 x 24 is divisible by 4 ?

Options

A. 1
B. 3
C. 6
D. Any of these

Answer

To determine what value should replace 'x' in the number 873x24 so that it is divisible by 4, we need to follow these steps:

### Step 1: Understand the divisibility rule for 4
A number is divisible by 4 if the number formed by its last two digits is divisible by 4.

### Step 2: Identify the last two digits
In the number 873x24, the last two digits are '24'.

### Step 3: Check if '24' is divisible by 4
Now, we check if 24 is divisible by 4:
- 24 ÷ 4 = 6, which is an integer.

Since 24 is divisible by 4, we can conclude that the entire number 873x24 will be divisible by 4 regardless of the value of 'x'.

### Step 4: Determine possible values for 'x'
The question provides options for 'x' which are 1, 3, and 6. Since the divisibility condition is satisfied for any digit in place of 'x', all these options (1, 3, or 6) are valid.

### Conclusion
Thus, the values that can replace 'x' so that the number 873x24 is divisible by 4 are 1, 3, or 6.

---