Quantitative Aptitude: Quadratic Equations Set 11

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 – 8x + 4 = 0
    II. 3y2 – 16y + 16 = 0
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relation cannot be established
    View Answer
    Option E
    Solution:

    3x2 – 8x + 4 = 0
    3x2 – 2x – 6x + 4 = 0
    Gives x = 2, 2/3
    3y2 – 16y + 16 = 0
    3y2 – 12y – 4y + 16 = 0
    Gives y = 4, 4/3
  2. I. 3x2 + 10x + 7 = 0
    II. 2y2 – 5y – 12 = 0
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relation cannot be established
    View Answer
    Option E
    Solution:

    3x2 + 10x + 7 = 0
    3x2 + 3x + 7x + 7 = 0
    Gives x = -1, -7/3
    2y2 – 5y – 12 = 0
    2y2 – 8y + 3y – 12 = 0
    Gives y = -3/2, 4
  3. I. 4x2 + 15x + 9 = 0
    II. 4y2 – 13y – 12 = 0
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relation cannot be established
    View Answer
    Option D
    Solution:

    4x2 + 15x + 9 = 0
    4x2 + 12x + 3x + 9 = 0
    Gives x = -3, -3/4
    4y2 – 13y – 12 = 0
    4y2 – 16y + 3y – 12 = 0
    Gives y = -3/4, 4
  4. I. 3x2 + 23x + 30 = 0
    II. 3y2 – 4y – 4 = 0
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relation cannot be established
    View Answer
    Option B
    Solution:

    3x2 + 23x + 30 = 0
    3x2 + 18x + 5x + 30 = 0
    Gives x = -5/3, -6
    3y2 – 4y – 4 = 0
    3y2 – 6y + 2y – 4 = 0
    Gives y = 2, -2/3
    Put all values on number line and analyze the relationship
    -6…. -5/3….. -2/3…… 2
  5. I. 5x2 – 36x – 32 = 0,
    II. 3y2 – 11y + 6 = 0
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relation cannot be established
    View Answer
    Option E
    Solution:

    5x2 – 36x – 32 = 0
    5x2 + 4x – 40x – 32 = 0
    Gives x = -4/5, 8
    3y2 – 17y – 6 = 0
    3y2 + y – 18y – 6 = 0
    Gives y = -1/3, 6
  6. I. 4x2 + 17x + 18 = 0,
    II. 3y2 + 4y – 4 = 0
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relation cannot be established
    View Answer
    Option D
  7. I. 4x2 – 9x – 9 = 0,
    II. 4y2 + 11y + 6 = 0
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relation cannot be established
    View Answer
    Option C
  8. I. 3x2 – 19x + 28 = 0,
    II. 4y2 – 11y + 6 = 0
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relation cannot be established
    View Answer
    Option A
  9. I. 3x2 + 19x + 28 = 0,
    II. 6y2 – y – 2 = 0A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relation cannot be established
    View Answer
    Option B

  10. I. 3x2 + 7x – 6 = 0,
    II. 6y2 – y – 2 = 0
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relation cannot be established
    View Answer
    Option E
    Solution:

    3x2 + 7x – 6 = 0
    3x2 + 9x – 2x – 6 = 0
    Gives x = -3, 2/3
    6y2 – y – 2 = 0
    6y2 + 3y – 4y – 2 = 0
    Gives y = -1/2, 2/3

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28 Thoughts to “Quantitative Aptitude: Quadratic Equations Set 11”

  1. Niti

    Ans 6 : E hona chahiye ??

  2. Niti

    @mod please check ans 6

    1. shreya pnb po

      x= -2, -2.25
      y= -2 , + .66
      if u draw a no. line then -2.25, -2 , 0 .66 hence y >= x

      1. Hie. U working as PO already or selected this tym?

        1. shreya pnb po

          this tym mam

          1. Ok. Congrats :))
            Now also preparing for any exam?

          2. shreya pnb po

            thank u mam.. yes nicl ao

      2. Niti

        yes got it
        ty 🙂 dear

  3. •?((¯°·._.• ąʍβɨЌą •._.·°¯))؟•

    mam plz check the sol of ques no 1

    1. shreya pnb po

      e correct 0.66, 1.3, 2,4 if u draw no. line so e option. 1.3 <2<4

      1. •?((¯°·._.• ąʍβɨЌą •._.·°¯))؟•

        congrats dear :))

          1. Yogi ji

            Ab to mat padh

    2. Ans correct hai.
      14 y ki jagah 12y h

  4. Yogi ji

    Mam plz check solution of 7 ques can’t determined bhi ho sakta hai

  5. Yogi ji

    7 ques x=-2. 2,+3
    Y=-0.7,-2
    Ne ans hna chaiye

    1. Suraj

      x= -3/4 and 3
      y= -3/4 and -2

      so y<=x

      1. Yogi ji

        -2, – 2.25 Se bda hua

        1. Suraj

          -2.25 kaha se aaya?

          1. Yogi ji

            Ha yaar. Health thik nhi. Mind hi kharab ho gya lgta.

          2. Yogi ji

            Kal bhi mix quiz hga?

          3. Yogi ji

            Give me link of day 5 syollg role

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