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  • Question
  • On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5?


  • Options
  • A. 0
  • B. 1
  • C. 2
  • D. 4

  • Correct Answer


  • Explanation
    Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.

    ∴    x = 5k + 3

    ⟹    x2 = (5k + 3)2

       = (25k2 + 30k + 9)

       = 5(5k2 + 6k + 1) + 4

    ∴On dividing x2 by 5, we get 4 as remainder.


  • Numbers problems


    Search Results


    • 1. If the number 5 * 2 is divisible by 6, then * =?

    • Options
    • A. 2
    • B. 3
    • C. 6
    • D. 7
    • Discuss
    • 2. Which of the following number is divisible by 24?

    • Options
    • A. 35718
    • B. 63810
    • C. 537804
    • D. 3125736
    • Discuss
    • 3. 
      (963 + 476)2 + (963 - 476)2 =?
      (963 x 963 + 476 x 476)

    • Options
    • A. 1449
    • B. 497
    • C. 2
    • D. 4
    • E. None of these
    • Discuss
    • 4. How many terms are there in the G.P. 3, 6, 12, 24, ... , 384?

    • Options
    • A. 8
    • B. 9
    • C. 10
    • D. 11
    • E. 7
    • Discuss
    • 5. (35423 + 7164 + 41720) - (317 x 89) =?

    • Options
    • A. 28213
    • B. 84307
    • C. 50694
    • D. 56094
    • E. None of these
    • Discuss
    • 6. 35 + 15 x 1.5 =?

    • Options
    • A. 85
    • B. 51.5
    • C. 57.5
    • D. 5.25
    • E. None of these
    • Discuss
    • 7. (12 + 22 + 32 + ... + 102) =?

    • Options
    • A. 330
    • B. 345
    • C. 365
    • D. 385
    • Discuss
    • 8. 8597 -? = 7429 - 4358

    • Options
    • A. 5426
    • B. 5706
    • C. 5526
    • D. 5476
    • E. None of these
    • Discuss
    • 9. A number when divide by 6 leaves a remainder 3. When the square of the number is divided by 6, the remainder is:

    • Options
    • A. 0 
    • B. 1
    • C. 2
    • D. 3
    • Discuss
    • 10. 287 x 287 + 269 x 269 - 2 x 287 x 269 =?

    • Options
    • A. 534
    • B. 446
    • C. 354
    • D. 324
    • E. None of these
    • Discuss


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