Multiple choice

When 429 is divided by a certain number, the quotient is 28 and the remainder is 9. Find the number

  1. 15

  2. 45

  3. 65

  4. 8
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A Correct answer
Explanation

Using the division algorithm, Dividend = (Divisor * Quotient) + Remainder. Here, 429 = (x * 28) + 9. Subtracting 9 gives 420 = 28x, so x = 420 / 28 = 15.

AI explanation

Apply the division algorithm formula: Dividend equals Divisor multiplied by Quotient plus Remainder. Substitute the given values into the equation: 429 equals Divisor multiplied by 28 plus 9. Subtracting 9 from 429 gives 420, which equals the Divisor multiplied by 28. Dividing 420 by 28 yields 15, which is the required number.

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