If the sum of remainders, obtained by dividing 4321 by 4 and 1234 by 3 is divided by 2, then the remainder will be

Options

A. 0
B. 2
C. 3
D. 4

Answer

To solve the question, we need to follow these steps:

### Step 1: Find the remainder of 4321 when divided by 4
To find the remainder of 4321 when divided by 4, we can perform the division:

\[ 4321 \div 4 = 1080 \text{ remainder } 1 \]

So, the remainder when 4321 is divided by 4 is **1**.

### Step 2: Find the remainder of 1234 when divided by 3
Next, we find the remainder of 1234 when divided by 3:

\[ 1234 \div 3 = 411 \text{ remainder } 1 \]

Thus, the remainder when 1234 is divided by 3 is also **1**.

### Step 3: Sum the remainders obtained in Steps 1 and 2
Now, we add the two remainders we found:

\[ 1 + 1 = 2 \]

### Step 4: Divide the sum of the remainders by 2 and find the remainder
Finally, we divide the sum (2) by 2:

\[ 2 \div 2 = 1 \text{ remainder } 0 \]

Thus, the remainder when the sum of the remainders is divided by 2 is **0**.

### Final Answer
The final answer is **0**.

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