2. Questions Bank
  3. SSC
  4. Quantitative Aptitude
  5. Number System and its Operations

SSC Quantitative Aptitude Number System and its Operations Question Bank Numbers and Their Principles (II)

  • question_answer
    A number when divided by 5, leaves 3 as remainder. What will be the remainder when the square of this number is divided by 5?

    A) 0

    B) 1

    C) 2

    D) 4

    Correct Answer: D

    Solution :

    [d] Let the number be x and let \[x=5q+3.\] Then, \[{{x}^{2}}={{(5\,q+3)}^{2}}=(25\,{{q}^{2}}+30\,q+9)\] \[=5\,(5{{q}^{2}}+6q+1)+4\] \[\therefore \] On dividing \[{{x}^{2}}\] by 5, the remainder is 4.


You need to login to perform this action.
You will be redirected in 3 sec spinner