Quantitative Aptitude: Quadratic Equation Set 30

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. 3x– 13x – 30 = 0,
    II. 3y2 + 17y + 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 C
    Solution:

    x = -5/3, 6
    y = -4, -5/3
    Put all values on number line and analyze the relationship
    -4…….. -5/3…….6
  2. I. 3x2 – 5x – 28 = 0,
    II. 3y2 – 32y – 35 = 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 = -7/3, 4
    y = -7/3, 5
    Put all values on number line and analyze the relationship
    -7/3…….. 4………5
  3. I. 3x– 10x – 8 = 0,
    II. 2y2 + 17y + 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 A
    Solution:

    x = -2/3, 4
    y = -6, -5/2
    Put all values on number line and analyze the relationship
    -6…….. -5/2…….-2/3……….4
  4. I. 2x2 – x – 28 = 0,
    II. 3y+ 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 E
    Solution:

    x = -7/2, 4
    y = -3, 5/3
    Put all values on number line and analyze the relationship
    -7/2…….. -3…….5/3……..4
  5. I. 3x2– 22x + 24 = 0,
    II. 2y2 – 25y + 78 = 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 = 4/3, 6
    y = 6, 13/2
    Put all values on number line and analyze the relationship
    4/3…….. 6……….13/2
  6. I. 2x– x – 45 = 0,
    II. 3y2 – 13y – 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 E
    Solution:

    x = -9/2, 5
    y = -2/3, 5
    Put all values on number line and analyze the relationship
    -9/2…….. -2/3……..5
  7. I. 2x– 19x + 45 = 0,
    II. 3y2 + 16y – 12 = 0
    A) x > y
    B) x< y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relationship cannot be determined
    View Answer
    Option A
    Solution:

    x = 9/2, 5
    y = -6, 2/3
    Put all values on number line and analyze the relationship
    -6…….. 2/3…….9/2……..5
  8. I. 2x2 + 17x + 35 = 0,
    II. 2y2 + 13y + 21 = 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 = -5, -7/2
    y = -7/2, -3
    Put all values on number line and analyze the relationship
    -5…….. -7/2…….-3
  9. I. 2x2 – 13x + 21 = 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 C
    Solution:

    x = 3, 7/2
    y = -5/3, 3
    Put all values on number line and analyze the relationship
    -5/3…….. 3…….7/2
  10. I. 3x2 + 4x – 32 = 0,
    II. 2y2 – 19y + 42 = 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 = -4, 8/3
    y = 7/2, 6
    Put all values on number line and analyze the relationship
    -4…….. 8/3…….7/2……..6

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99 Thoughts to “Quantitative Aptitude: Quadratic Equation Set 30”

  1. वैम्पायर हंटर

    10th ka ans y grtr than x hoga
    x= 2.66 -4
    y= 6 3.5

  2. Sachin shukla( Banker 2018)

    10/10 q10 check it x<y hoga

  3. ครђ

    Thanks Mam :)) Nice set

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