A number when divided by 44, gives 432 as quotient and 0 as remainder. What…

2024

A number when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 31

  1. A.

    5

  2. B.

    4

  3. C.

    3

  4. D.

    9

Attempted by 10 students.

Show answer & explanation

Correct answer: A

The correct answer is Option A: 5.

Step-by-Step Solution

  1. Find the Original Number: The formula for division is: Dividend = (Divisor * Quotient) + Remainder.

    • Divisor = 44

    • Quotient = 432

    • Remainder = 0

    • Number = (44 * 432) + 0 = 19,008.

  2. Divide the Number by 31: Now, divide the original number (19,008) by 31 to find the new remainder.

    • 19,008 / 31 = 613 with a remainder.

    • 613 * 31 = 19,003.

    • 19,008 - 19,003 = 5.

    • The remainder is 5.

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