When 127 + 139 + 12653 + 79 +18769 is divided by 5, the remainder obtained is?

Options

A. 2
B. 3
C. 1
D. 4

Answer

To find the remainder when the expression \(127 + 139 + 12653 + 79 + 18769\) is divided by 5, we can follow these steps:

### Step 1: Find the remainder of each number when divided by 5.
1. **For 127**:
\[ 127 \div 5 = 25 \quad \text{(remainder 2)} \]
So, the remainder is **2**.

2. **For 139**:
\[ 139 \div 5 = 27 \quad \text{(remainder 4)} \]
So, the remainder is **4**.

3. **For 12653**:
\[ 12653 \div 5 = 2530 \quad \text{(remainder 3)} \]
So, the remainder is **3**.

4. **For 79**:
\[ 79 \div 5 = 15 \quad \text{(remainder 4)} \]
So, the remainder is **4**.

5. **For 18769**:
\[ 18769 \div 5 = 3753 \quad \text{(remainder 4)} \]
So, the remainder is **4**.

### Step 2: Add the remainders obtained from each number.
Now we add all the remainders:
\[ 2 + 4 + 3 + 4 + 4 = 17 \]

### Step 3: Find the remainder of the sum when divided by 5.
Now we need to find the remainder when 17 is divided by 5:
\[ 17 \div 5 = 3 \quad \text{(remainder 2)} \]

### Final Answer:
The remainder when \(127 + 139 + 12653 + 79 + 18769\) is divided by 5 is **2**.

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