Quantitative Aptitude: Quadratic Equations Set 26

 

Quadratic Equations Practice Sets for IBPS PO, NICL, NIACL, LIC, Dena Bank PO PGDBF, 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 – 8x – 28 = 0,
    II. 3y2 – 44y + 140 = 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: 

    3x2 – 8x – 28 = 0
    3x2 – + 6x – 14x – 28 = 0
    Gives x = -2, 14/3
    3y2 – 44y + 140 = 0
    3y2 – 30y -14y + 140 = 0
    Gives y = 14/3, 10
  2. I. 2x2 – 27x + 81 = 0,
    II. 3y2 – 50y + 168 = 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: 

    2x2 – 27x + 81 = 0
    2x2 – 18x – 9x + 81 = 0
    Gives x = 9/2, 9
    3y2 – 50y + 168 = 0
    3y2 – 36y – 14y + 168 = 0
    Gives y = 14/3, 12
  3. I. 2x2 – 3x – 54 = 0,
    II. 3y2 – 32y + 80 = 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: 

    2x2 – 3x – 54 = 0
    2x2 – 12x + 9x – 54 = 0
    Gives x = -9/2, 6
    3y2 – 32y + 80 = 0
    3y2 – 12y – 20y + 80 = 0
    Gives y = 4, 20/3
  4. I. 3x2 – 14x – 24 = 0,
    II. 3y2 + 32y + 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 A
    Solution: 

    3x2 – 14x – 24 = 0
    3x2 – 18x + 4x – 24 = 0
    Gives x = -4/3, 6
    3y2 + 32y + 64 = 0
    3y2 + 24y + 8y + 64 = 0
    Gives y= -8, -8/3
  5. I. 4x2 + x – 18 = 0,
    II. 4y2 – 11y – 45 = 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: 

    4x2 + x – 18 = 0
    4x2 – 8x + 9x – 18 = 0
    Gives x = -9/4, 2
    4y2 – 11y – 45 = 0
    4y2 – 20y + 9y – 45 = 0
    Gives y= -9/4, 5
  6. I. 3x2 – 26x + 48 = 0,
    II. 3y2 + 4y – 32 = 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: 

    3x2 – 26x + 48 = 0
    3x2 – 18x – 8x + 48 = 0
    Gives x = 8/3, 6
    3y2 – 25y + 52 = 0
    3y2 – 12y – 13y + 52 = 0
    Gives y = -4, 8/3
  7. I. 4x2 + 39x + 77 = 0,
    II. 4y2 – y – 33 = 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: 

    4x2 + 39x + 77 = 0
    4x2 + 28x  + 11x + 77 = 0
    Gives x = -7, -11/4
    4y2 – y – 33 = 0
    4y2 – 12y + 11y – 33 = 0
    Gives y = -11/4, 3
  8. I. 3x2 + 7x – 40 = 0,
    II. 3y2 – 38y + 112 = 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 B
    Solution: 

    3x2 + 7x – 40 = 0
    3x2 + 15x – 8x – 40 = 0
    Gives x = -5, 8/3
    3y2 – 38y + 112 = 0
    3y2 – 24y – 14y + 112 = 0
    Gives y = 14/3, 8
  9. I. x2 = 1849,
    II. y = √2116
    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:

    x2 = 1849
    x = -43, 43
    y = √2116
    y = 46 (root is always positive)
    -43……….43………….46
    If
    a2 = 1849, then a = -43, 43
    and if a = √1849, then a = 43
  10. I. x2 – 565 = 1284,
    II. y = √1521
    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:

    x2 = 1849
    x = -43, 43
    y = √1521
    y = 39
    -43……….39………..43

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34 Thoughts to “Quantitative Aptitude: Quadratic Equations Set 26”

  1. Deepak sahu

    First ka mam option E hoga?

      1. Akansha Chaudhary

        mam plz can u explain why in Q.5 answer is option E why it is not option D

        1. x = -9/4, 2
          y = -9/4, 5

          when u put on number line

          -9/4……….2………..5

          Now when x = 2 and y = -9/4
          x > y.

          and when x = 2 and y = 5
          x < y

          So are you able to find relationship ?

    1. IBPS RRB PO-2018

      D correct ans h

    2. ครђ

      Share your solution plz 🙂

  2. asdf

    Mam in Q10 804+505=1369 so roots will be +37 and -37. Ans would be B.

      1. asdf

        Mam earlier it was. Now edited afterwards, thanks for replying.

    1. ครђ

      How 1369?

      It should be 1849 (1284+565) roots will be -43 , 43

  3. Ravi Upadhyay

    thnxx… ab to sari quiz dunga…. sb section ki quiz dega re tumhara faizall…. wrna faizal berojgaaar reh jayga is br bhi…

    1. aisa nhi hoga is baar

      be determined

      1. Prabakar

        Mam..Im not much fortify in quantz…Well i preparing only,,Simplication,,quadratic,di,numberseries,,,PRofit and loss,partnership,si anda ci…..The rest others is not coming to me..whatever i tried hard..is it enough /? mam..?

        1. for prelims, they are sufficient
          but not for mains
          because now DI is also asked from word problems

          u need to do other chapters as well, do time and work, boats and streams

          boats and streams is very easy

  4. M@nish...

    1 and 10 ans is wrong

    1. ครђ

      🙂 Check again Dear..

  5. ครђ

    Thanks!!! ッッ

  6. "Mission 2017" 'sandeep'

    mam ek request h apse timer ke sath quiz de toh jada bettr ho jayege fir hope aap ispe thoda soche thnx mam:))

    1. Yes you are right
      But no tool available right now for timer
      Whenever I am able to do,I will

      1. "Mission 2017" 'sandeep'

        Doing grt work thnx mam??

  7. ?Jab Harry Met Sejal(4-Aug)?

    2nd Ques me
    81 se phle + aye ge plz check

  8. swati

    thank you team and SUBHRA mam…….

  9. Pankul Sahu

    shubhra mam u r outstanding..

      1. karthik

        plz check once 2nd question mam

        x = 9/2, 9 = (4.5, 9)
        y = 14/3, 12 =(4.66, 12)

        so here y>x, but answer “e”
        plz…

        1. y = 4.66
          and x = 9

          y > x ???

          1. karthik

            haa haa sorry…i felt -9.. oops…
            thanks for ur replay to me.

  10. ~lonely~hanker~nitrous oxide~

    tq mam

  11. Chotu D(mind) !! {NONSENSE}

    done..

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