The largest 5-digit number divisible by Rs 21 is ______.

Options

A. a)99981
B. b)99882
C. c)99915
D. d)99937

Answer

To find the largest 5-digit number that is divisible by 21, we can follow these steps:

### Step 1: Identify the largest 5-digit number
The largest 5-digit number is 99999.

### Step 2: Divide the largest 5-digit number by 21
Now, we need to check how many times 21 can fit into 99999. We perform the division:

\[ 99999 \div 21 \]

Calculating this gives:

\[ 99999 \div 21 = 4761 \quad \text{(approximately)} \]

### Step 3: Multiply the quotient by 21
Next, we multiply the quotient (4761) by 21 to find the largest multiple of 21 that is still a 5-digit number:

\[ 4761 \times 21 = 99981 \]

### Step 4: Verify the result
We can verify that 99981 is indeed a 5-digit number and check if it is divisible by 21:

\[ 99981 \div 21 = 4761 \]

Since the result is a whole number, we confirm that 99981 is divisible by 21.

### Final Answer
Thus, the largest 5-digit number divisible by 21 is **99981**.

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