Quantitative Aptitude: Quadratic Equation Set 36

Quadratic Equations for IBPS PO/RRB, SBI, RBI, NICL, NIACL, LIC, UICL, OICL, BOI, Bank of Baroda and other competitive exams.

Directions: In the following questions, two equations numbered are given in variables x and y. You have to solve both the equations and find out the relationship between x and y. Then give answer accordingly-

  1. I. 3x2 – 4x – 4 = 0,
    II. 3y2 + 17y + 10 = 0

    A) If x > y
    B) If x < y
    C) If x ≥ y
    D) If x ≤ y
    E) If x = y or relation cannot be established
    View Answer
    Option C
    Solution:

    x = -2/3, 2
    y = -5, -2/3
    Put all values on number line and analyze the relationship

    -5……..-2/3…….2
  2. I. 3x2 – 15x + 12 = 0, 
    II. 3y2 – 19y + 20 = 0
    A) If x > y
    B) If x < y
    C) If x ≥ y
    D) If x ≤ y
    E) If x = y or relation cannot be established
    View Answer
    Option E
    Solution:

    x = 4/3, 3
    y = 4/3, 5
    Put all values on number line and analyze the relationship
    4/3…….. 3………5
  3. I. 2x2 – 17x + 35 = 0,
    II. 3y2 – 4y – 15 = 0
    A) If x > y
    B) If x < y
    C) If x ≥ y
    D) If x ≤ y
    E) If x = y or relation cannot be established
    View Answer
    Option A
    Solution:

    x = 7/2, 5
    y = -5/3, 3
    Put all values on number line and analyze the relationship
    -5/3…….3…….7/2………5
  4. I. 3x2 – 4x – 15 = 0,
    II. 3y2 – 23y + 30 = 0
    A) If x > y
    B) If x < y
    C) If x ≥ y
    D) If x ≤ y
    E) If x = y or relation cannot be established
    View Answer
    Option E
    Solution:

    x = -5/3, 3
    y = 5/3, 6
    Put all values on number line and analyze the relationship
    -5/3…….. 5/3……..3……….6
  5. I. 3x2 – 5x – 28 = 0,
    II. 2y2 – 17y + 36 = 0
    A) If x > y
    B) If x < y
    C) If x ≥ y
    D) If x ≤ y
    E) If x = y or relation cannot be established
    View Answer
    Option D
    Solution:

    x = -7/3, 4
    y = 4, 9/2
    Put all values on number line and analyze the relationship
    -7/3……….4…..9/2
  6. I. 3x2 – 17x + 20 = 0
    II. 3y2 + y – 10 = 0
    A) If x > y
    B) If x < y
    C) If x ≥ y
    D) If x ≤ y
    E) If x = y or relation cannot be established
    View Answer
    Option C
    Solution:

    x = 5/3, 4
    y = -2, 5/3
    Put all values on number line and analyze the relationship
    -2………5/3……….4
  7. I. 2x2 + 17x + 36 = 0,
    II. 3y2 – 17y – 6 = 0
    A) x > y
    B) x< y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relationship cannot be determined
    View Answer
    Option B
    Solution:

    x = -9/2, -4
    y = -1/3, 6
    Put all values on number line and analyze the relationship
    -9/2……….-4………-1/3……….6
  8. I. 2x2 – 13x + 20 = 0,
    II. 2y2 + 5y – 18 = 0
    A) If x > y
    B) If x < y
    C) If x ≥ y
    D) If x ≤ y
    E) If x = y or relation cannot be established
    View Answer
    Option A
    Solution:

    x = 5/2, 4
    y = -9/2, 2
    Put all values on number line and analyze the relationship
    -9/2……2…….. 5/2…….4
  9. I. 2x2 – 17x + 36 = 0,
    II. 3y2 – 28y + 64 = 0
    A) If x > y
    B) If x < y
    C) If x ≥ y
    D) If x ≤ y
    E) If x = y or relation cannot be established
    View Answer
    Option E
    Solution:

    x = 4, 9/2
    y = 4, 16/3
    Put all values on number line and analyze the relationship
    4…….9/2…….. 16/3
  10. I. 3x2 – 2x – 21 = 0,
    II. 2y2 – 15y + 27 = 0
    A) x > y
    B) x< y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relationship cannot be determined
    View Answer
    Option D
    Solution:

    x = -7/3, 3
    y = 3, 9/2
    Put all values on number line and analyze the relationship
    -7/3…….. 3……..9/2

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