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When we divide 15192327 by 99 the remain...

When we divide `15192327` by 99 the remainder will be :

A

98

B

84

C

30

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To find the remainder when dividing \( 15192327 \) by \( 99 \), we can follow these steps: ### Step 1: Perform the Division We will divide \( 15192327 \) by \( 99 \). \[ 15192327 \div 99 \approx 153,000 \] ### Step 2: Multiply the Quotient by Divisor Now, we multiply the quotient \( 153,000 \) by \( 99 \) to find the largest multiple of \( 99 \) that is less than or equal to \( 15192327 \). \[ 153000 \times 99 = 15147000 \] ### Step 3: Subtract to Find the Remainder Next, we subtract this product from \( 15192327 \) to find the remainder. \[ 15192327 - 15147000 = 45327 \] ### Step 4: Divide Again to Find the Final Remainder Now, we need to divide \( 45327 \) by \( 99 \) to find the final remainder. \[ 45327 \div 99 \approx 458 \] ### Step 5: Multiply Again Multiply \( 458 \) by \( 99 \): \[ 458 \times 99 = 45342 \] ### Step 6: Subtract Again Now, subtract this from \( 45327 \): \[ 45327 - 45342 = -15 \] Since we cannot have a negative remainder, we adjust this by adding \( 99 \): \[ -15 + 99 = 84 \] ### Conclusion Thus, the remainder when \( 15192327 \) is divided by \( 99 \) is \( 84 \). ### Final Answer The remainder is \( 84 \). ---
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