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  • Question
  • What will be remainder when 17200 is divided by 18?


  • Options
  • A. 17
  • B. 16
  • C. 1
  • D. 2

  • Correct Answer


  • Explanation
    When n is even. ( x n - a n ) is completely divisibly by ( x + a )

    (17200 - 1200) is completely divisible by (17 + 1), i.e., 18.

    ⟹    (17200 - 1) is completely divisible by 18.

    ⟹    On dividing 17200 by 18, we get 1 as remainder.


  • Numbers problems


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    • 1. (112 + 122 + 132 + ... + 202) =?

    • Options
    • A. 385
    • B. 2485
    • C. 2870
    • D. 3255
    • Discuss
    • 2. The difference between the local value and the face value of 7 in the numeral 32675149 is

    • Options
    • A. 75142
    • B. 64851
    • C. 5149
    • D. 69993
    • E. None of these
    • Discuss
    • 3. What smallest number should be added to 4456 so that the sum is completely divisible by 6?

    • Options
    • A. 4
    • B. 3
    • C. 2
    • D. 1
    • E. None of these
    • Discuss
    • 4. If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be:

    • Options
    • A. 3
    • B. 2
    • C. 1
    • D. 5
    • E. None of these
    • Discuss
    • 5. (12345679 x 72) =?

    • Options
    • A. 88888888
    • B. 888888888
    • C. 898989898
    • D. 9999999998
    • Discuss
    • 6. Which of the following numbers will completely divide (325 + 326 + 327 + 328)?

    • Options
    • A. 11
    • B. 16
    • C. 25
    • D. 30
    • Discuss
    • 7. 
      (489 + 375)2 - (489 - 375)2 =?
      (489 x 375)

    • Options
    • A. 144
    • B. 864
    • C. 2
    • D. 4
    • E. None of these
    • Discuss
    • 8. On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?

    • Options
    • A. 4
    • B. 5
    • C. 6
    • D. 7
    • Discuss
    • 9. Which one of the following is the common factor of (4743 + 4343) and (4747 + 4347)?

    • Options
    • A. (47 - 43)
    • B. (47 + 43)
    • C. (4743 + 4343)
    • D. None of these
    • Discuss
    • 10. If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be:

    • Options
    • A. 0 
    • B. 1
    • C. 2
    • D. None of these
    • Discuss


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