# 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
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
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
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
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
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
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
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
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
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
Option E
Solution:

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

## 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

2. asdf

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

1. yes ans is E only

1. asdf

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

2. ครђ

How 1369?

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

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. they are correct

2. 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. jaga

thank u

10. sonali

ty AZ

11. Pankul Sahu

shubhra mam u r outstanding..

1. Thankyou :))

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.

12. ~lonely~hanker~nitrous oxide~

tq mam

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

done..