Find the least number that must be subtracted from 98534, to get a number exactly divisible by 824.
A. 484
B 478
C. 422
D. 375

Options

A. C
B. A
C. B
D. D

Answer

To find the least number that must be subtracted from 98534 to make it exactly divisible by 824, we can follow these steps:

### Step 1: Divide 98534 by 824
First, we need to determine how many times 824 fits into 98534. We perform the division:

\[ 98534 \div 824 \approx 119.5 \]

### Step 2: Find the integer part of the quotient
The integer part of the quotient is 119. This means that 824 can fit into 98534 a total of 119 times.

### Step 3: Multiply the integer quotient by 824
Next, we multiply 119 by 824 to find the largest multiple of 824 that is less than or equal to 98534:

\[ 119 \times 824 = 98056 \]

### Step 4: Calculate the remainder
Now, we subtract this product from 98534 to find the remainder:

\[ 98534 - 98056 = 478 \]

### Step 5: Determine the least number to subtract
The remainder we found is 478. This means that if we subtract 478 from 98534, the result will be exactly divisible by 824.

### Conclusion
Thus, the least number that must be subtracted from 98534 to get a number exactly divisible by 824 is:

\[ \text{Answer: } 478 \]