The least number to be added to 13851 to get a number which is divisible by 87 is :

Options

A. 18
B. 43
C. 54
D. 69

Answer

To find the least number to be added to 13851 to make it divisible by 87, we can follow these steps:

### Step 1: Determine the nearest multiple of 87
To find the nearest multiple of 87 that is greater than or equal to 13851, we first divide 13851 by 87.

\[ \text{Division: } 13851 \div 87 \approx 159.2 \]

### Step 2: Round up to the next whole number
Since we need a whole number of multiples, we round 159.2 up to the next integer, which is 160.

### Step 3: Calculate the multiple of 87
Now, we calculate the multiple of 87 corresponding to 160.

\[ \text{Calculation: } 87 \times 160 = 13920 \]

### Step 4: Find the difference
Next, we find the difference between this multiple (13920) and the original number (13851) to determine how much we need to add.

\[ \text{Difference: } 13920 - 13851 = 69 \]

### Conclusion
Thus, the least number to be added to 13851 to make it divisible by 87 is **69**.

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