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Arithmetic Aptitude :: Quadratic Equations

Quadratic Equations - General Questions
Quadratic Equations - Quadratic Equations
  1. Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0?
    2. A.
    15
    B.
    14
    C.
    24
    D.
    26
    E.
    None of these

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  2. .
    3. A.
    -3, 1
    B.
    3, -1
    C.
    3, -2
    D.
    3, 2
    E.
    None of these

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  3. Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?
    4. A.
    3x2 + 5x - 2 = 0
    B.
    3x2 + 5x + 2 = 0
    C.
    3x2 - 5x + 2 = 0
    D.
    3x2 - 5x - 2 = 0
    E.
    None of these

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  4. A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?
    5. A.
    10
    B.
    8
    C.
    15
    D.
    7.50
    E.
    None of these

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  5. I. a2 - 7a + 12 = 0,
    II. b2 - 3b + 2 = 0 to solve both the equations to find the values of a and b?
    6. A.
    if a < b
    B.
    if a ≤ b
    C.
    if the relationship between a and b cannot be established.
    D.
    if a > b
    E.
    if a ≥ b

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  6. I. a2 - 9a + 20 = 0,
    II. 2b2 - 5b - 12 = 0 to solve both the equations to find the values of a and b?
    7. A.
    If a < b
    B.
    If a ≤ b
    C.
    If the relationship between a and b cannot be established
    D.
    If a > b
    E.
    If a ≥ b

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  7. I. a2 + 11a + 30 = 0,
    II. b2 + 6b + 5 = 0 to solve both the equations to find the values of a and b?
    8. A.
    If a < b
    B.
    If a ≤ b
    C.
    If the relationship between a and b cannot be established
    D.
    If a > b
    E.
    If a ≥ b

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  8. I. a2 + 8a + 16 = 0,
    II. b2 - 4b + 3 = 0 to solve both the equations to find the values of a and b?
    9. A.
    If a < b
    B.
    If a ≤ b
    C.
    If the relationship between a and b cannot be established
    D.
    If a > b
    E.
    If a ≥ b

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  9. I. a2 - 2a - 8 = 0,
    II. b2 = 9 to solve both the equations to find the values of a and b?
    10. A.
    If a < b
    B.
    If a ≤ b
    C.
    If the relationship between a and b cannot be established
    D.
    If a > b
    E.
    If a ≥ b

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  10. I. x2 + 5x + 6 = 0,
    II. y2 + 9y +14 = 0 to solve both the equations to find the values of x and y?
    11. A.
    If x < y
    B.
    If x > y
    C.
    If x ≤ y
    D.
    If x ≥ y
    E.
    If x = y or the relationship between x and y cannot be established.

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