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Discussion

  1. A number when divided by 5, leaves 3 as a remainder. What will be the remainder when the square of this number is divided by 5.
    1. 3
    2. 4
    3. 5
    4. 0
  1. Correct Option: B

    Let the number be N.
    Therefore N = 5k + 3

    On squaring both sides, we get
    N2 = ( 5k + 3)2
    = 5( 5k2 + 6k +1 ) + 4
    ∴ On dividing x2 by 5, the remainder is 4


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