Tag: division

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Multiple choice maths four operations division trick division multiply and divide

Choose the correct answers from the alternatives given.
$9^6$ -  11 when divided by 8 would leave a remainder of _______________.

  1. 0

  2. 6

  3. 2

  4. 3
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

We want (9^6 - 11) mod 8. Since 9 mod 8 = 1, then 9^6 mod 8 = 1^6 = 1. Thus, (1 - 11) mod 8 = -10 mod 8. Since -10 = -16 + 6, the remainder is 6.