The least number that should be added to 2055, so that the sum is exactly divisible by 27 is

Options

A. 28
B. 24
C. 27
D. 31

Answer

To find the least number that should be added to 2055 so that the sum is exactly divisible by 27, we can follow these steps:

### Step 1: Divide 2055 by 27
First, we need to determine how many times 27 fits into 2055. We perform the division:

\[ 2055 \div 27 \]

### Step 2: Calculate the quotient
Calculating the division gives us:

\[ 2055 \div 27 \approx 76.11 \]

The integer part of the quotient is 76.

### Step 3: Multiply the quotient by 27
Now, we multiply the integer part of the quotient (76) by 27 to find the largest multiple of 27 that is less than or equal to 2055:

\[ 76 \times 27 = 2052 \]

### Step 4: Find the remainder
Next, we find the remainder when 2055 is divided by 27:

\[ 2055 - 2052 = 3 \]

So, the remainder is 3.

### Step 5: Calculate the number to be added
To make 2055 exactly divisible by 27, we need to add a number that will make the remainder zero. Since the remainder is 3, we need to add:

\[ 27 - 3 = 24 \]

### Conclusion
Thus, the least number that should be added to 2055 to make it divisible by 27 is:

\[ \boxed{24} \]

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