The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is

Options

A. 18
B. 60
C. 38
D. 68

Answer

To find the least number to be subtracted from 36798 to make it exactly divisible by 78, we can follow these steps:

### Step-by-Step Solution:

1. **Perform Long Division**: Divide 36798 by 78 to find the quotient and the remainder.
- **Calculation**:
- 36798 ÷ 78
- 78 goes into 367 (the first three digits of 36798) 4 times (since 78 * 4 = 312).
- Subtract 312 from 367, which gives us 55. Bring down the next digit (9), making it 559.
- 78 goes into 559 seven times (since 78 * 7 = 546).
- Subtract 546 from 559, which gives us 13. Bring down the next digit (8), making it 138.
- 78 goes into 138 one time (since 78 * 1 = 78).
- Subtract 78 from 138, which gives us 60.

2. **Determine the Remainder**: The remainder from the division is 60. This means that when 36798 is divided by 78, it leaves a remainder of 60.

3. **Calculate the Number to Subtract**: To make 36798 exactly divisible by 78, we need to subtract the remainder (60) from 36798.
- **Calculation**:
- 36798 - 60 = 36738.

4. **Conclusion**: The least number to be subtracted from 36798 to make it exactly divisible by 78 is **60**.

### Final Answer:
The least number to be subtracted is **60**.

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