The least number which must be substracted from 6708 to make it exactly divisible by 9 is :

Options

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

Answer

To find the least number that must be subtracted from 6708 to make it exactly divisible by 9, we can follow these steps:

### Step 1: Determine the remainder when 6708 is divided by 9.
To check divisibility by 9, we can use the rule that states a number is divisible by 9 if the sum of its digits is divisible by 9.

**Calculation:**
- Sum of the digits of 6708:
\( 6 + 7 + 0 + 8 = 21 \)

### Step 2: Find the remainder of the sum when divided by 9.
Now, we need to divide the sum of the digits (21) by 9 and find the remainder.

**Calculation:**
- \( 21 \div 9 = 2 \) remainder \( 3 \)

### Step 3: Subtract the remainder from 9 to find the least number to subtract from 6708.
To make 6708 divisible by 9, we need to subtract the remainder from 9.

**Calculation:**
- \( 9 - 3 = 6 \)

### Step 4: Subtract the remainder from 6708.
Now, we can subtract the remainder (3) from 6708 to find the new number.

**Calculation:**
- \( 6708 - 3 = 6705 \)

### Conclusion:
The least number that must be subtracted from 6708 to make it exactly divisible by 9 is **3**.

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