The least number that must be added to 8961 to make it exactly divisible by 84 is :

Options

A. 27
B. 57
C. 141
D. 107

Answer

To find the least number that must be added to 8961 to make it exactly divisible by 84, we can follow these steps:

### Step 1: Divide 8961 by 84
First, we need to perform the division of 8961 by 84 to find the remainder.

\[ 8961 \div 84 = 106 \quad \text{(quotient)} \]
\[ 84 \times 106 = 8904 \quad \text{(product)} \]

### Step 2: Calculate the Remainder
Now, we will calculate the remainder by subtracting the product from the original number.

\[ \text{Remainder} = 8961 - 8904 = 57 \]

### Step 3: Find the Number to be Added
To make 8961 exactly divisible by 84, we need to subtract the remainder from 84.

\[ \text{Number to be added} = 84 - 57 = 27 \]

### Conclusion
The least number that must be added to 8961 to make it exactly divisible by 84 is **27**.

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