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  • Question
  • If x is a whole number, then x²(x² - 1) is always divisible by ?


  • Options
  • A. 4
  • B. 8
  • C. 12
  • D. None

  • Correct Answer
  • 12 

    Explanation

    we can do this by trial and error method.

    Putting x = 2,we get 2²(2² - 1) = 12.
    checking with other integers, the above equation always gives a value which is a multiple of 12,
    So, x²(x² - 1) is always divisible by 12.

  • Tags: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO

    Numbers problems


    Search Results


    • 1. If V = 12R / (r + R) , then R =

    • Options
    • A. Vr / (12 - V)
    • B. Vr + (V /12 )
    • C. V
    • D. V / (r - 12 )
    • Discuss
    • 2. The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ?

    • Options
    • A. 80 degrees
    • B. 60 degrees
    • C. 120 degrees
    • D. 40 degrees
    • Discuss
    • 3. The sum of three consecutive odd numbers is 93. What is the middle number?

    • Options
    • A. 31
    • B. 33
    • C. 29
    • D. 27
    • Discuss
    • 4. What will come in place of the question mark (?) in the following questions ? 22% of ? + 166.64 = 340

    • Options
    • A. 788
    • B. 786
    • C. 784
    • D. 792
    • Discuss
    • 5. About 4 out of 5 students are left handed. If there are totally 40 students in an class. How many would be left handed ?

    • Options
    • A. 40
    • B. 45
    • C. 32
    • D. 30
    • Discuss
    • 6. Find the number of factors of 9321 ?

    • Options
    • A. 4
    • B. 5
    • C. 7
    • D. 8
    • Discuss
    • 7. The product of a number and its multiplicative inverse is

    • Options
    • A. 1
    • B. 0
    • C. -1
    • D. Infinity
    • Discuss
    • 8. 3131×31-27 =?

    • Options
    • A. 961 x 861
    • B. 961 x 961
    • C. 961 x 2
    • D. 29791
    • Discuss
    • 9. What is the remainder when 1523+2323 is divided by 19 ?

    • Options
    • A. 4
    • B. 3
    • C. 1
    • D. 0
    • Discuss
    • 10. Find the next number in the series 2, 3, 4, 8, 9, 10, 11, 16, 17, 18, 19, 20,...

    • Options
    • A. 27
    • B. 26
    • C. 24
    • D. 25
    • Discuss


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