The least number, which is to be added to the greatest number of 4 digits so that the sum may be divisible by 345, is

Options

A. a) 50
B. b) 6
C. c) 60
D. d) 5

Answer

To solve the problem of finding the least number that needs to be added to the greatest 4-digit number so that the sum is divisible by 345, we can follow these steps:

### Step 1: Identify the greatest 4-digit number
The greatest 4-digit number is 9999.

### Step 2: Divide the greatest 4-digit number by 345
We need to find the remainder when 9999 is divided by 345.

Perform the division:
\[ 9999 \div 345 \]

Calculating this gives:
- The quotient is approximately 28 (since \(345 \times 28 = 9660\)).
- Now, we calculate the remainder:
\[ 9999 - 9660 = 339 \]

### Step 3: Calculate the least number to be added
To make the sum divisible by 345, we need to add a number that will eliminate the remainder. Since the remainder is 339, we can find the least number to be added by subtracting the remainder from 345:
\[ 345 - 339 = 6 \]

### Conclusion
Thus, the least number that needs to be added to 9999 to make it divisible by 345 is **6**.

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