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-
- I. 2x2+25x + 78 = 0,
II. 3y2 + 23y + 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 D
Solution:
2x2+ 25x + 78 = 0,
2x2+12x + 13x + 78 = 0
Gives x = -13/2, -6
3y2 + 23y + 30 = 0
3y2 + 18y + 5y + 30 = 0
Gives y = -6, -5/3
Put all values on number line and analyze the relationship
-13/2…. -6….-5/3
- I. 2x2 + 7x – 15 = 0,
II. 3y2 + 11y ¬– 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 E
Solution:
2x2 + 7x – 15 = 0
2x2 + 10x – 3x – 15 = 0
Gives x = -5, 3/2
3y2 + 11y ¬– 20 = 0
3y2 + 15y ¬– 4y – 20 = 0
Gives y = -5, 4/3
Put all values on number line and analyze the relationship
-5.…. 3/2….4/3
When x = 3/2, it is both > y(-5) and < y(4/3)
- I.3x2– 11x + 6 = 0,
II. 3y2 + 11y ¬– 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 E
Solution:
3x2– 11x + 6 = 0
3x2–9x – 2x + 6 = 0
Gives x = 2/3, 3
3y2 + 11y ¬– 20 = 0
3y2 + 15y ¬– 4y – 20 = 0
Gives y = -5, 4/3
- I.3x2 + 17x + 20 = 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 D
Solution:
3x2 + 17x + 20 = 0
3x2 + 12x + 5x + 20 = 0
Gives x = -4,-5/3
3y2– 4y – 15 = 0
3y2– 9y + 5y – 15 = 0
Gives y= -5/3, 3
- I. 5x2– 19x + 12 = 0,
II. 5y2 +6y – 8 = 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:
Explanation:
5x2 – 19x + 12 = 0
5x2 – 19x + 12 = 0
Gives x = 4/5, 3
5y2 + 6y – 8 = 0
5y2 + 10y – 4y – 8 = 0
Gives y= -2, 4/5
- I.3x2– 10x – 8 = 0,
II. 2y2 + 13y + 21 = 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– 10x – 8 = 0
3x2– 12x + 2x – 8 = 0
Gives x = -2/3, 4
2y2 + 13y + 21 = 0
2y2 + 6y + 7y + 21 = 0
Gives y = -7/2, -3
- I. 4x2–15x + 9 = 0,
II. 2y2 – 15y + 27 = 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:
4x2 –15x + 9 = 0
4x2 –12x – 3x + 9 = 0
Gives x = 3/4, 3
2y2 – 15y + 27 = 0
2y2 – 6y – 9y + 27 = 0
So y = 3, 9/2
- I. 3x2 –14x + 8 = 0,
II. 2y2 – 3y ¬– 20 = 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:
3x2 –14x + 8 = 0
3x2 –12x – 2x + 8 = 0
Gives x = 2/3, 4
2y2 – 3y ¬– 20 = 0
2y2 – 8y + 5y ¬– 20 = 0
So y = -5/2, 4
When x = 2/3, x > y(-5/2) and also x < y (4), so relationship cannot be determined
- I. 4x2– (1– 8√2)x– 2√2 = 0
II. 5y2 + (1 + 5√2)y + √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:
4x2– (1 – 8√2)x – 2√2 = 0
(4x2 – x) + (8√2x – 2√2) = 0
x (4x – 1) + 2√2 (4x – 1) = 0
So x = 1/4, -2√2 (-2.82)
5y2 + (1 + 5√2)y + √2 = 0
(5y2 +y) + (5√2y + √2) = 0
y (5y + 1) + √2 (5y + 1) = 0
So, y = -1/5 (-0.2), -√2 (-1.4)
- I. 3x2– (9 + √3)x + 3√3 = 0,
II. 3y2– (3 + 3√3)y + 3√3 = 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:
3x2– (9 + √3)x + 3√3 = 0
(3x2 – 9x) – (√3x – 3√3) = 0
3x (x – 3) – √3 (x – 3) = 0,
So x = 3, √3/3 (0.58)
3y2– (3 + 3√3)y + 3√3 = 0
(3y2 – 3y) – (3√3y – 3√3) = 0
3y (y – 1) – 3√3 (y – 1) = 0
So x = 1, √3 (1.73)
https://uploads.disquscdn.com/images/497c2963e4de8e2c40e135286488e0f393be7dd4923caf495de58b4e7d7b9e6d.jpg
ans -7602
take last yr pockt money ratio b/w tina and ruhi as 24:30 so present 28:20….(24/6 x7=28 and 30/3 x2=20)…20 unit=>5430…ans 28 unit=543/2 x 28=7602
mam 24 :30 kaise aya ???
last yr salary ratio is 4:5 …for tina, last yr salary is 6 units and present yr salary 7 unit …to find present salary we have to divide last yr tinas salary then multiply by 7…but here last yr salary ratio is 4:5 …4/6 give decimal value..so convert the last yr salary ratio to a ratio which is a multiple of 6…so take new last yr ratio as 6x( 4:5)=24: 30…
here ruhi’s last to present ….is 3:2 .so 6 can satisfy ruhis tooo….if here ratio was 7:8 then we have to take (6×7) x(4:5)= 42×4 :42×5
got it …thankuu :))
…………………………..Tina………Ruhi
pocket money…………4………….5
present ratio…………..7………….2
last year…………………6………….3
tina : ruhi = 7×4/6 : 5×2/3 = 28/6 : 10/3 = 28 : 20
20=====>5430
28 = 5430/20 *28 = 7602 = Tina’s pocket money
T =6:7…………last :presnt
R =3:2………….last :presnt…….inki ratio to alg alg h na to isko hm x & y ki terms me lenge
present ratio…………..7………….2
last year…………………6………….3…………yha apne tina & ruhi ki last ka ratio ek sath kaise liya ….ye to alg alg h na ????
tina : ruhi = 7×4/6 : 5×2/3 = 28/6 : 10/3 = 28 : 20…isko bhu bta do ???
Rrb po call letter out !!!
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Today I take testzones second exam my score-45.25 .first time
Mahendras Ki st me 30 se upr nhi gya aaj tk.exam ka level kesa hoga testzone jesa ya usse tough.
testzone jaisa hoga
Ok
koi uttarakhand wala h jisne himachal se bhara ho…..rrb ka
thank u mam
done
thank you team …..
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I have come to understand that expenses for on-line degree pros tend to be a great value. Like a full Bachelors Degree in Communication from The University of Phoenix Online consists of Sixty credits at $515/credit or $30,900. Also American Intercontinental University Online gives a Bachelors of Business Administration with a overall study course requirement of 180 units and a worth of $30,560. Online learning has made having your degree far more easy because you can certainly earn your own degree in the comfort of your home and when you finish from office. Thanks for all the other tips I’ve learned through your web-site.
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Thanks for your article on the travel industry. I might also like to include that if you’re a senior taking into account traveling, it really is absolutely vital that you buy traveling insurance for retirees. When traveling, elderly people are at greatest risk of experiencing a professional medical emergency. Receiving the right insurance policies package for the age group can protect your health and provide peace of mind.
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Thanks for helping me to obtain new ideas about desktops. I also possess the belief that one of the best ways to maintain your laptop in primary condition is a hard plastic-type material case, or shell, which fits over the top of the computer. A majority of these protective gear usually are model specific since they are made to fit perfectly above the natural housing. You can buy all of them directly from the seller, or from third party sources if they are available for your laptop, however not all laptop will have a shell on the market. Just as before, thanks for your recommendations.
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I have seen a lot of useful things on your internet site about desktops. However, I’ve got the impression that netbooks are still less than powerful sufficiently to be a good option if you usually do things that require a great deal of power, for example video touch-ups. But for net surfing, word processing, and quite a few other prevalent computer work they are all right, provided you do not mind the small screen size. Thanks for sharing your thinking.
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I have noticed that online degree is getting popular because getting your college degree online has become a popular selection for many people. Many people have never had an opportunity to attend a normal college or university nevertheless seek the elevated earning potential and a better job that a Bachelor Degree provides. Still other people might have a college degree in one field but want to pursue another thing they now develop an interest in.
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My programmer is trying to persuade me to move to .net from PHP. I have always disliked the idea because of the costs. But he’s tryiong none the less. I’ve been using Movable-type on several websites for about a year and am nervous about switching to another platform. I have heard excellent things about blogengine.net. Is there a way I can import all my wordpress posts into it? Any help would be really appreciated!
I have taken note that of all forms of insurance, medical health insurance is the most dubious because of the clash between the insurance company’s necessity to remain making money and the user’s need to have insurance policy. Insurance companies’ income on wellness plans are very low, therefore some companies struggle to make a profit. Thanks for the thoughts you share through this website.
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Thanks for this article. I’d also like to mention that it can possibly be hard when you find yourself in school and just starting out to create a long history of credit. There are many pupils who are only trying to make it through and have an extended or good credit history are often a difficult issue to have.
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Today, I went to the beach 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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I was wondering if you ever considered changing the layout of your website? Its very well written; I love what youve got to say. But maybe you could a little more in the way of content so people could connect with it better. Youve got an awful lot of text for only having 1 or 2 pictures. Maybe you could space it out better?
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Thanks for the strategies presented. One thing I also believe is credit cards supplying a 0 monthly interest often lure consumers with zero interest, instant approval and easy online balance transfers, but beware of the most recognized factor that will certainly void that 0 easy streets annual percentage rate and also throw anybody out into the terrible house rapidly.
One important issue is that if you are searching for a student loan you may find that you’ll need a co-signer. There are many cases where this is true because you could find that you do not possess a past credit history so the loan company will require you have someone cosign the loan for you. Interesting post.
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I’m not sure exactly why but this site is loading very slow for me. Is anyone else having this problem or is it a issue on my end? I’ll check back later and see if the problem still exists.
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This web page won’t render properly on my blackberry – you may want to try and fix that
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Once I originally commented I clicked the -Notify me when new feedback are added- checkbox and now every time a comment is added I get four emails with the same comment. Is there any approach you possibly can take away me from that service? Thanks!
One thing is that when you find yourself searching for a education loan you may find that you will need a cosigner. There are many scenarios where this is correct because you might find that you do not employ a past credit rating so the mortgage lender will require that you’ve got someone cosign the borrowed funds for you. Thanks for your post.
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Amazing blog! Is your theme custom made or did you download it from somewhere? A theme like yours with a few simple tweeks would really make my blog jump out. Please let me know where you got your theme. Cheers
One other issue is that if you are in a predicament where you do not have a cosigner then you may genuinely wish to try to wear out all of your federal funding options. You can get many funds and other scholarships and grants that will provide you with funding to assist with university expenses. Thank you for the post.
I have learned new things through the blog post. Also a thing to I have seen is that generally, FSBO sellers are going to reject you. Remember, they’d prefer never to use your expert services. But if an individual maintain a stable, professional relationship, offering aid and keeping contact for around four to five weeks, you will usually be capable of win interviews. From there, a listing follows. Cheers
You can certainly see your enthusiasm in the work you write. The world hopes for even more passionate writers like you who are not afraid to say how they believe. Always go after your heart.
You could certainly see your expertise in the work you write. The world hopes for more passionate writers like you who are not afraid to say how they believe. Always follow your heart.
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Hi there would you mind stating which blog platform you’re working with? I’m looking to start my own blog soon but I’m having a tough time deciding between BlogEngine/Wordpress/B2evolution and Drupal. The reason I ask is because your design and style seems different then most blogs and I’m looking for something unique. P.S My apologies for getting off-topic but I had to ask!
Do you mind if I quote a couple of your posts as long as I provide credit and sources back to your website? My blog is in the very same niche as yours and my visitors would really benefit from a lot of the information you present here. Please let me know if this okay with you. Regards!