Quantitative Aptitude: Quadratic Equations Set 13

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 – 5y + 2 = 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:

    20x2 – 31x + 12 = 0
    20x2 – 16x – 15x + 12 = 0
    So x = 3/4, 4/5
    3y2 – 5y + 2 = 0
    3y2 – 3y – 2y + 2 = 0
    So y = 1, 2/3
  2. I. 3x2 – 19x + 30 = 0,
    II. 3y2 – 10y + 3 = 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 – 19x + 30 = 0
    3x2 – 9x – 10x + 30 = 0
    So x = 3, 10/3
    3y2 – 10y + 3 = 0
    3y2 – 9y – y + 3 = 0
    So y = 1/3, 3
  3. I. 3x2 – 25x + 52 = 0,
    II. 5y2 – 18y + 9 = 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 – 25x + 52 = 0
    3x2 – 12x – 13x + 52 = 0
    So x = 4, 13/3
    5y2 – 18y + 9 = 0
    5y2 – 15y – 3y + 9 = 0
    So y = 3/5, 3
    Put on number line
    -1/2 …. 3/5 ….2/3 …. 3
  4. I. 4x2 – 5x – 6 = 0,
    II. 5y2 – 7y – 6 = 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 – 5x – 6 = 0
    4x2 – 8x + 3x – 6 = 0
    So x = -3/4, 2
    5y2 – 7y – 6 = 0
    5y2 – 10y + 3y – 6 = 0
    So y = -3/5, 2
  5. I. 3x2 – 10x + 8 = 0,
    II. 3y2 – 14y + 16 = 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 – 10x + 8 = 0
    3x2 – 6x – 4x + 8 = 0
    So x = 2, 4/3
    3y2 – 14y + 16 = 0
    3y2 – 6y – 8y + 16 = 0
    So y = 2, 8/3
  6. I. 2x2 + 17x + 30 = 0,
    II. 4y2 – 7y – 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 B
    Solution:

    2x2 + 17x + 30 = 0
    2x2 + 12x + 5x + 30 = 0
    So x = -6, -5/2
    4y2 – 7y – 15 = 0
    4y2 – 12y + 5y – 15 = 0
    So y = -5/4, 3
  7. I. 3x2 + 16x + 20 = 0,
    II. 5y2 + 8y – 4 = 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:

    3x2 + 16x + 20 = 0
    3x2 + 6x + 10x + 20 = 0
    So x = -10/3, -2
    5y2 + 8y – 4 = 0
    5y2 + 10y – 2y – 4 = 0
    So y = -2, 2/5
  8. I. 2x2 + 17x + 21 = 0,
    II. 2y2 + 13y + 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:

    2x2 + 17x + 21 = 0
    2x2 + 14x + 3x + 21 = 0
    So x = -7, -3/2
    2y2 + 13y + 15 = 0
    2y2 + 10y + 3y + 15 = 0
    So y = -5, -3/2
  9. I. 5x2 – 7x – 6 = 0,
    II. 3y2 – 19y + 28 = 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:

    5x2 – 7x – 6 = 0
    5x2 – 10x + 3x – 6 = 0
    So x = -3/5, 2
    3y2 – 19y + 28 = 0
    3y2 – 12y – 7y + 28 = 0
    So y = 7/3, 4
  10. I. 8x2 + 6x – 5 = 0,
    II. 2y2 + 7y – 4 = 0
    A) x > y
    B) x < y
    C) x ≥ y
    D) x ≤ y
    E) x = y or relationship cannot be determined
    View Answer
    Option E
    Solution:

    8x2 + 6x – 5 = 0
    8x2 – 4x + 10x – 5 = 0
    So x = -5/4, 1/2
    2y2 + 7y – 4 = 0
    2y2 + 8y – y – 4 = 0
    So y = -4, 1/2

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235 Thoughts to “Quantitative Aptitude: Quadratic Equations Set 13”

  1. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

    mam last ques …plz check E ans hai na uska

    1. PHOENIX

      hey dear, have u attempted PM’s 13th ST…if yes,pls let me know the approach to solve Q81-85 & in Q64,23 came from where.. ??

      1. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

        no dear i had 5 st only :pp u can post here i ll try

          1. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

            see it is very simple type of ques just keep in mind the conditions given …….like the first number is 12 its is an even no and followed by odd no viz. 21 so . so we will apply condition no. 3

            means 12 + 21 = 33 ok…… now move further…we have to take this result means 33 as the next value to be considered so 33 is now followed by 11 so here we ll apply condition no.2 i.e 33-11 = 22
            now.. 22 is followed by 8 so here comes the condition no. 1 means 22 * 8/ 4 = 44
            then 44 is the value of X here now with 3 we ll use condition no.3 so 44 + 3 = 47 then for 23 we ll use no. 2 so 47 – 23 = 24 then last we ll apply condition no. 3 so the answer is 24 + 11 = 35 …..:))

            these ques were introduced last year in sbi po mains …see if u get it

          2. MiMi

            okkk i got it..bohat esy qstn :0

          3. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

            :)) hmmm hai to easy but jab new type ke ques aa jayen exam main to boht panic ho jate hain hum chahe easy hi hon

          4. MiMi

            haa right sis…

          5. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

            :))

          6. MiMi

            sbi po main ka previous year qstns paper hai tmhara pass?

          7. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

            hmm sab hain

          8. MiMi

            muje pls mail kar do

          9. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

            hmm kar deti hun

          10. MiMi

            thnk u sis ;))

          11. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

            :)) id do mere pass hai nhi

          12. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

            ok kar do remove

          13. Enrique

            Hi, Ambika 🙂 Mujhe bhi chahiye previous year questions ,pls mail
            ashu.agarwal64@gmail.com

          14. !!angry bird !!

            mam plz aap kya muje de sekte h sbi k paper ?

          15. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

            sure dear no pblm

          16. !!angry bird !!

            Ty so much mam gn

          17. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

            remove it dear i ll mail u

          18. !!angry bird !!

            OK tyyyyyy 🙂

          19. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

            see u got the mail ????

          20. !!angry bird !!

            yes mam ty 🙂

          21. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

            🙂 SURE

          22. PHOENIX

            TY understood…so easy:)

          23. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

            :))

    2. MiMi

      hmm E hoga ansr..

      1. (¯·.¸¸.-> °º åɱβȋ º° <-.¸¸.·¯)

        hmmm

  2. golden girl

    thanku 🙂

  3. !!angry bird !!

    ty 🙂 9/10 🙁

  4. Enrique

    10/10 in 7:47 mins.
    Thanks Shubhra Ma’am 🙂

  5. "sandeep "'''Mission 2017'''

    thnx mam

  6. jaga

    Thank u mam 🙂

  7. Giridhar katti

    Hello mam
    6 ans E hona chahiye please ek baar check karke ans bataiye mam

    1. No its correct

      Put the values on number line

      -6… -5/2…. -5/4….3

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  95. One other issue is when you are in a circumstances where you don’t have a cosigner then you may want to try to wear out all of your financial aid options. You can find many funds and other grants that will offer you funding to help you with school expenses. Thx for the post.

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  98. One thing I’ve noticed is always that there are plenty of misconceptions regarding the banking companies intentions when talking about property foreclosure. One myth in particular is the fact that the bank wants your house. The lending company wants your money, not your property. They want the money they lent you along with interest. Keeping away from the bank will still only draw any foreclosed realization. Thanks for your article.

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  101. One more thing is that when searching for a good on-line electronics store, look for online shops that are consistently updated, always keeping up-to-date with the most up-to-date products, the most effective deals, along with helpful information on services and products. This will ensure you are dealing with a shop that stays ahead of the competition and provides you what you should need to make knowledgeable, well-informed electronics purchases. Thanks for the critical tips I’ve learned through your blog.

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  104. One important thing is that while you are searching for a student loan you may find that you will want a cosigner. There are many circumstances where this is true because you could find that you do not use a past credit rating so the financial institution will require that you’ve someone cosign the financing for you. Great post.

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  139. I have observed that over the course of developing a relationship with real estate proprietors, you’ll be able to get them to understand that, in every single real estate contract, a commission amount is paid. Ultimately, FSBO sellers really don’t “save” the commission rate. Rather, they struggle to win the commission by way of doing an agent’s occupation. In accomplishing this, they expend their money in addition to time to execute, as best they could, the responsibilities of an broker. Those obligations include displaying the home by way of marketing, delivering the home to buyers, creating a sense of buyer desperation in order to trigger an offer, booking home inspections, managing qualification inspections with the loan provider, supervising repairs, and facilitating the closing of the deal.

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  152. Today, I went to the beachfront with my children. I found a sea shell and gave it to my 4 year old daughter and said “You can hear the ocean if you put this to your ear.” She placed the shell to her ear and screamed. There was a hermit crab inside and it pinched her ear. She never wants to go back! LoL I know this is totally off topic but I had to tell someone!

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  188. Interesting blog post. A few things i would like to bring up is that computer system memory is required to be purchased but if your computer can’t cope with everything you do with it. One can mount two good old ram boards of 1GB each, as an example, but not certainly one of 1GB and one with 2GB. One should check the car maker’s documentation for the PC to ensure what type of ram is needed.

  189. Thanks for the tips you have shared here. Something else I would like to express is that laptop memory demands generally go up along with other advances in the technological innovation. For instance, if new generations of processor chips are brought to the market, there’s usually a similar increase in the dimensions calls for of all personal computer memory in addition to hard drive room. This is because the software program operated by means of these processors will inevitably increase in power to make new technological innovation.

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