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  • Question
  • 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

  • Correct Answer


  • Explanation
    Let x = 6 q + 3.

    Then, x2 = (6q + 3)2

       = 36q2 + 36q + 9

       = 6(6q2 + 6q + 1) + 3

    Thus, when x2 is divided by 6, then remainder = 3.


  • Numbers problems


    Search Results


    • 1. 8597 -? = 7429 - 4358

    • Options
    • A. 5426
    • B. 5706
    • C. 5526
    • D. 5476
    • E. None of these
    • Discuss
    • 2. (12 + 22 + 32 + ... + 102) =?

    • Options
    • A. 330
    • B. 345
    • C. 365
    • D. 385
    • Discuss
    • 3. 35 + 15 x 1.5 =?

    • Options
    • A. 85
    • B. 51.5
    • C. 57.5
    • D. 5.25
    • E. None of these
    • Discuss
    • 4. 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
    • Discuss
    • 5. If the number 5 * 2 is divisible by 6, then * =?

    • Options
    • A. 2
    • B. 3
    • C. 6
    • D. 7
    • Discuss
    • 6. 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
    • 7. On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:

    • Options
    • A. 10
    • B. 11
    • C. 12
    • D. 13
    • Discuss
    • 8. If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11?

    • Options
    • A. 4x + 6y
    • B. x + y + 4
    • C. 9x + 4y
    • D. 4x - 9y
    • Discuss
    • 9. The smallest prime number is:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 10. 9548 + 7314 = 8362 + (?)

    • Options
    • A. 8230
    • B. 8410
    • C. 8500
    • D. 8600
    • E. None of these
    • Discuss


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