What least number must be subtracted from 3401, so that the sum is completely divisible by 11?

Options

A. a) 3
B. b) 1
C. c) 2
D. d) 0

Answer

To find the least number that must be subtracted from 3401 so that the result is completely divisible by 11, we can follow these steps:

### Step 1: Divide 3401 by 11
We start by dividing 3401 by 11 to find out how much it exceeds the nearest multiple of 11.

\[ 3401 \div 11 = 309 \quad \text{(quotient)} \]
Calculating \( 11 \times 309 \):
\[ 11 \times 309 = 3399 \]

### Step 2: Find the Remainder
Next, we find the remainder when 3401 is divided by 11.

\[ \text{Remainder} = 3401 - 3399 = 2 \]

### Step 3: Determine the Least Number to Subtract
To make 3401 divisible by 11, we need to subtract the remainder (which is 2) from 3401.

\[ \text{Least number to subtract} = 2 \]

### Conclusion
Thus, the least number that must be subtracted from 3401 to make it completely divisible by 11 is **2**.

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