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Arithmetic Aptitude :: Quadratic Equations

  1. Find the roots of the quadratic equation: x2 + 2x - 15 = 0?
  2. A.
    -5, 3
    B.
    3, 5
    C.
    -3, 5
    D.
    -3, -5
    E.
    5, 2

  3. Find the roots of the quadratic equation: 2x2 + 3x - 9 = 0?
  4. A.
    3, -3/2
    B.
    3/2, -3
    C.
    -3/2, -3
    D.
    3/2, 3
    E.
    2/3, -3

  5. The roots of the equation 3x2 - 12x + 10 = 0 are?
  6. A.
    rational and unequal
    B.
    complex
    C.
    real and equal
    D.
    irrational and unequal
    E.
    rational and equal

  7. If the roots of a quadratic equation are 20 and -7, then find the equation?
  8. A.
    x2 + 13x - 140 = 0
    B.
    x2 - 13x + 140 = 0
    C.
    x2 - 13x - 140 = 0
    D.
    x2 + 13x + 140 = 0
    E.
    None of these

  9. The sum and the product of the roots of the quadratic equation x2 + 20x + 3 = 0 are?
  10. A.
    10, 3
    B.
    -10, 3
    C.
    20, -3
    D.
    -10, -3
    E.
    None of these

  11. If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
  12. A.
    3
    B.
    4
    C.
    5
    D.
    6
    E.
    None of these

  13. The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
  14. A.
    9, 10
    B.
    10, 11
    C.
    11, 12
    D.
    12, 13
    E.
    None of these

  15. One root of the quadratic equation x2 - 12x + a = 0, is thrice the other. Find the value of a?
  16. A.
    29
    B.
    -27
    C.
    28
    D.
    7
    E.
    None of these

  17. The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
  18. A.
    18, 20, 22
    B.
    20, 22, 24
    C.
    22, 24, 26
    D.
    24, 26, 28
    E.
    None of these

  19. If a and b are the roots of the equation x2 - 9x + 20 = 0, find the value of a2 + b2 + ab?
  20. A.
    -21
    B.
    1
    C.
    61
    D.
    21
    E.
    None of these