When the remainder obtained by dividing 60606 by 106 is subtracted from the remainder obtained on dividing 70707 by 107, then the resultant number is

Options

A. 7
B. 8
C. 5
D. 8

Answer

To solve the problem, we need to find the remainders of two divisions and then subtract one from the other. Here’s a step-by-step breakdown of the solution:

### Step 1: Find the remainder of 60606 when divided by 106.
To do this, we perform the division:

1. **Divide 60606 by 106**:
- Calculate how many times 106 fits into 60606.
- 106 goes into 60606 approximately 572 times (since \(106 \times 572 = 60632\) which is too high, we try 571).
- \(106 \times 571 = 60526\).

2. **Calculate the remainder**:
- Subtract \(60526\) from \(60606\):
\[ 60606 - 60526 = 80 \]
So, the remainder when \(60606\) is divided by \(106\) is **80**.

### Step 2: Find the remainder of 70707 when divided by 107.
Now, we perform the division for the second number:

1. **Divide 70707 by 107**:
- Calculate how many times 107 fits into 70707.
- 107 goes into 70707 approximately 660 times (since \(107 \times 660 = 70620\)).

2. **Calculate the remainder**:
- Subtract \(70620\) from \(70707\):
\[ 70707 - 70620 = 87 \]
So, the remainder when \(70707\) is divided by \(107\) is **87**.

### Step 3: Subtract the two remainders.
Now, we subtract the remainder obtained from the first division from the remainder obtained from the second division:

\[ 87 - 80 = 7 \]

### Conclusion:
The resultant number after performing the operations is **7**.

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