Quantitative Aptitude: Quadratic Equations Set 12

Type of Quadratic Equations Questions Asked in All Exams – Bank PO, Insurance and Other related 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. 20x2 – 31x + 12 = 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 B
    Solution:

    20x2 – 31x + 12 = 0
    20x2 – 16x – 15x + 12 = 0
    So x = 3/4, 4/5
    3y2 – 16y + 16 = 0
    3y2 – 14y – 4y + 16 = 0
    Gives y = 4, 4/3
  2. I. 3x2 + 22 x + 24 = 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 + 22 x + 24 = 0
    3x2 + 18x + 4x + 24 = 0
    So x = -4/3, -6
    2y2 – 5y – 12 = 0
    2y2 – 8y + 3y – 12 = 0
    Gives y = -3/2, 4
  3. I. 2x2 – 9x + 4 = 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 E
    Solution:

    Solution:
    2x2 – 9x + 4 = 0
    2x2 – 8x – x + 4 = 0
    So x = 4 , 1/2
    4y2 – 13y – 12 = 0
    4y2 – 16y + 3y – 12 = 0
    Gives y = -3/4, 4
  4. I. 5x2 + 23x + 12 = 0
    II. 5y2 – 7y – 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 D
    Solution:

    5x2 + 23x + 12 = 0
    5x2 + 20x + 3x + 12 = 0
    So x = -4, -3/5
    5y2 – 7y – 6 = 0
    5y2 – 10y + 3y – 6 = 0
    So y = -3/5, 2
    Put all values on number line and analyze the relationship
    -4….. -3/5…. 2
  5. I. 7x2 + 19x – 6 = 0,
    II. 2y2 – 7y + 3 = 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:

    7x2 + 19x – 6 = 0
    7x2 + 21x – 2x – 6 = 0
    Gives x = -3, 2/7
    2y2 – 7y + 3 = 0
    2y2 – 6y – y + 3 = 0
    So y = 1/2, 3
  6. I. 4x2 – 12x + 5 = 0,
    II. 2y2 – 19y + 35 = 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
    4x2 – 12x + 5 = 0
    4x2 – 2x – 10x + 5 = 0
    x = 1/2, 5/2
    2y2 – 19y + 35 = 0
    2y2 – 14y – 5y + 35 = 0
    So y = 5/2, 7
  7. I. 2x2 + 5x ¬– 12 = 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 E
    2x2 + 5x ¬– 12 = 0
    2x2 + 8x ¬– 3x – 12 = 0
    So x = -4 , 3/2
    4y2 + 13y – 12 = 0
    4y2 + 16y – 3y – 12 = 0
    y = -4, 3/4
  8. I. 3x2 + 22x + 24 = 0,
    II. 4y2 – 9y – 9 = 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
    3x2 + 22 x + 24 = 0
    3x2 + 18x + 4x + 24 = 0
    Gives x = -4/3, -6
    4y2 – 9y – 9 = 0
    4y2 – 12y + 3y – 9 = 0
    y = -3/4, 3
  9. I. 20x2 – 31x + 12 = 0,
    II. 4y2 + 9y – 9 = 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
    20x2 – 31x + 12 = 0
    20x2 – 16x – 15x + 12 = 0
    Gives x = 3/4, 4/5
    4y2 + 9y – 9 = 0
    4y2 + 12y – 3y – 9 = 0
    y = 3/4, -3
  10. I. 6x2 – 7x – 3 = 0,
    II. 4y2 + 5y – 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:

    6x2 – 7x – 3 = 0
    6x2 + 2x – 9x – 3 = 0
    Gives x = -1/3, 3/2
    4y2 + 5y – 6 = 0
    4y2 + 8y – 3y – 6 = 0
    Gives y = -2, 3/4

Related posts

48 Thoughts to “Quantitative Aptitude: Quadratic Equations Set 12”

  1. •?((¯°·._.• ąkduuu •._.·°¯))؟•

    nice changes 🙂

  2. •?((¯°·._.• ąkduuu •._.·°¯))؟•

    par ek baat samjh ni ayi main jo bhi flipkart pe dekhti hun wo upar kese aa jata hai yhan page pe :pp

    1. LAUGHYNG TYM ITS NITROUS OXIDE

      o-o

    2. LAUGHYNG TYM ITS NITROUS OXIDE

      wo ap ip se i think jata hai na to ur shyan apne taraf keechte hai ki ap buy kro usse bar bar dikha ke

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

        sach main yaar 🙁 main jab bhi dekhti hun again whin pahunch jati hun ..btao kese band krun isko settings se hoga ad ki??

        1. LAUGHYNG TYM ITS NITROUS OXIDE

          yup add blocker hota hai

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

            oteyyy

          2. LAUGHYNG TYM ITS NITROUS OXIDE

            tb ki st le li u ne

          3. •?((¯°·._.• ąkduuu •._.·°¯))؟•

            no yaar agar tumne li to mujhe bhi dena ek st :pp

          4. LAUGHYNG TYM ITS NITROUS OXIDE

            no abhi nhi li sayad 20 ke baad lu

          5. •?((¯°·._.• ąkduuu •._.·°¯))؟•

            hehe tab kya fayda rehne do :))

          6. LAUGHYNG TYM ITS NITROUS OXIDE

            ab mereko faya nhi bcoz bhut kuch nhi ata 😛 a

          7. •?((¯°·._.• ąkduuu •._.·°¯))؟•

            hehehehe

          8. LAUGHYNG TYM ITS NITROUS OXIDE

            and wo kha se kr rhi ho u i/p etc single topic practice

          9. •?((¯°·._.• ąkduuu •._.·°¯))؟•

            whi discuss kar rhi tih main abhi grp main ek new member hai usne last yr po ka interivew diya tha usse baat karke dekh rhi hun

          10. LAUGHYNG TYM ITS NITROUS OXIDE

            ji single topic ka bta dena az se kr leta hu and baki ka bhi 🙂

          11. •?((¯°·._.• ąkduuu •._.·°¯))؟•

            hmm or vo dekho jo uss din humari baat hui thi na mail ke bare main u ne comment edit nhi kiye wo itne log mera dimag kha rhe hain tab se humko bhi kro mail :||

          12. LAUGHYNG TYM ITS NITROUS OXIDE

            are mere khyal se ek wohi reh gya hoga bcoz last me wo tha 😛

          13. •?((¯°·._.• ąkduuu •._.·°¯))؟•

            hmmm 3-4 jne mujhe id bhi de chuke hain apni :|| pdf bhejne ko

          14. LAUGHYNG TYM ITS NITROUS OXIDE

            esse krna me apni id se fwd krduuga kaho to unko wese agar kaho to id dene me prob and all so

          15. •?((¯°·._.• ąkduuu •._.·°¯))؟•

            hmm ok 🙂 thankuuu

          16. LAUGHYNG TYM ITS NITROUS OXIDE

            essa krna id de dena mereo unke cahe gmail pe ja kisis post oe me noti se dekh luga 🙂 wesse ek chat disquss bna lo 😛 akela apna

          17. •?((¯°·._.• ąkduuu •._.·°¯))؟•

            hehehe ok :))

          18. LAUGHYNG TYM ITS NITROUS OXIDE

            ta ta yeh bhi delete krna chat kya ab >??

          19. •?((¯°·._.• ąkduuu •._.·°¯))؟•

            koi na yhan safe hain hum :pp

          20. LAUGHYNG TYM ITS NITROUS OXIDE

            ji

          21. LAUGHYNG TYM ITS NITROUS OXIDE

            or one rupee wale sums and all ke liye practice source bta dena bus

          22. •?((¯°·._.• ąkduuu •._.·°¯))؟•

            are haan yaar wo main bhi karne hai aj m tyra se hi krungi pehle to fir kuch site se search karke tumko btati hun fir

          23. LAUGHYNG TYM ITS NITROUS OXIDE

            kk done / ta ta padlo ab bye

          24. •?((¯°·._.• ąkduuu •._.·°¯))؟•

            bye :))

        2. LAUGHYNG TYM ITS NITROUS OXIDE

          wese add pe click kr diya kro mam ko fayda hoga 🙂 main kr deta hu kabhi kabbhi kr ke band kr ddiya kro cahe

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

            hehehe

          2. LAUGHYNG TYM ITS NITROUS OXIDE

            /

          3. •?((¯°·._.• ąkduuu •._.·°¯))؟•

            mujhe pta hai main allways karti hun

          4. LAUGHYNG TYM ITS NITROUS OXIDE

            same 🙂

    3. yes vo cookies ki vjah se aata hai
      Google khud se deta hai so that tumhe bar bar dikhe n you buy those

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

        :)) yes mam close kese kren inhe

        1. Fully close to nhi hote ye
          bar bar vhi ad dikh rhi hai to – kisi kisi ad k upper right corner me cross sign hota hai, usey click karo n then click not relevant to me, ya saw ad multiple times
          then koi new ad dikhegi

          1. LAUGHYNG TYM ITS NITROUS OXIDE

            MAM PLZ PROVIDE OLD TYPE I/P DOUBLE MOVING WALE

          2. In each step 2 elements are placed. That type ?

          3. LAUGHYNG TYM ITS NITROUS OXIDE

            yes mam

  3. MiMi

    thnk u……

  4. "sandeep "'''Mission 2017'''

    nice ques thnx 🙂

  5. Deepak sahu

    Thank you shubhra mam

  6. 496209 727002I enjoy your writing type, do keep on writing! Ill be back! 30132

Comments are closed.