Ask Question
17 June, 11:05

A teacher asked 3 pupils to choose any 2 digit number square it and then find the remainder after dividing the result by 7. Doris got 6 Marie got 4, Horace got 3. Two of the pupils made a mistake. Why?

+2
Answers (1)
  1. 17 June, 13:13
    0
    First write out all the two digit square numbers

    4² = 16

    5² = 25

    6² = 36

    7² = 49

    8² = 64

    9² = 81

    Next divide all of them by 7

    16/7 = 2 2/7 or 2 and 2 remainders

    25/7 = 3 4/7 or 3 and 4 remainders

    36/7 = 5 1/7 or 5 and 1 remainder

    49/7 = 7

    64/7 = 9 1/7 or 9 and 1 remainder

    81/7 = 11 4/7 or 11 and 4 remainders

    This tells us that the only possible remainders for a two digit square number divided by 7 are 1, 2 and 4

    If Doris got 6 and Horace got 3, they must have made a mistake.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A teacher asked 3 pupils to choose any 2 digit number square it and then find the remainder after dividing the result by 7. Doris got 6 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers