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Arithmetic Aptitude :: Algebra Problems

  1.  (a - b)² =

  2. A.

    a² + b²

    B.

    a² - b²

    C.

    a² + 2ab + b²

    D.

    a² - 2ab + b²


  3.  Factorise x² + x - 72

  4. A.

    (x + 8)(x - 9)

    B.

    (x - 8)(x + 9)

    C.

    (x - ?72)²

    D.

    (x - ?72)(x + ?72)


  5.  Factorise -20x² - 9x + 20

  6. A.

    (5 - 4x)(4 - 5x)

    B.

    (5 - 4x)(4 + 5x)

    C.

    (5 + 4x)(4 - 5x)

    D.

    (5 + 4x)(4 + 5x)


  7.  Expand and simplify (x + y)³

  8. A.

    x³ - y³

    B.

    x³ + y³

    C.

    x³ + 3xy(x - y) + y³

    D.

    x³ + 3xy(x + y) + y³


  9.  Simplify (x - 9)(x + 10) ⁄ (x² - 81)

  10. A.

    (x + 10) ⁄ (x - 9)

    B.

    (x + 10) ⁄ (x + 9)

    C.

    (x² + x - 90) ⁄ (x² - 81)

    D.

    None of above