# Quantitative Aptitude: Quadratic Equations Set 23

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. 7x2 – 9x + 2 = 0
II. y2 – 4y + 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
Option D
Solution:
I. 7x2– 7x – 2x + 2 = 0
or, 7x(x – 1) – 2(x – 1) = 0
(7x – 2) (x – 1) = 0
or, x =2/7 , 1
II. y2– y – 3y + 3 = 0

or, y(y – 1) – 3(y – 1) = 0
or, (y – 3) (y – 1) = 0
y = 1, 3
x <= y

2. I. x2+ x – 20 = 0
II. 2y2 – 19y + 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 B
Solution:
I. x2+ x – 20 = 0
or, x2+ 5x – 4x – 20 = 0
or, x(x + 5) – 4(x + 5) = 0
or, (x – 4) (x + 5) = 0
x = 4, – 5
II. 2y2– 10y – 9y + 45 = 0

or, 2y(y – 5) – 9(y – 5) = 0
or, (y – 5) (2y – 9) = 0
y = 5 , 9/2

3. I. 7x + 3y = 26
II. 2x + 17y = -41
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:
Eqn (I) × 2
Eqn (II) × 7
14x + 6y = 52
14x + 119y = – 287
– 113y = 339
y = – 3 and x = 5, ie x > y

4. I. 3x2 – 20x + 33 = 0
II. 2y2 – 11y + 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
Option C
Solution:
I. 3x2– 9x – 11x + 33 = 0
or, 3x(x – 3) – 11(x – 3) = 0
or, (3x – 11) (x – 3) = 0
x = 3, 11/3
II. 2y2– 6y – 5y + 15 = 0

or, 2y(y – 3) – 5(y – 3) = 0
or, (y – 3) (2y – 5) = 0
y = 3 , 5/2

5. I. 5x2 + 2x – 3 = 0
II. 2y2+ 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
Option A
Solution:
5x2+ 5x – 3x – 3 = 0
or 5x (x + 1) – 3(x + 1) = 0
or (5x – 3) (x + 1) = 0
x= 3/5, -1
II. 2y2+ 4x + 3y + 6 = 0
or 2y(y + 2) + 3(y + 2) =0
or (2y + 3) (y + 2) = 0
y = -3/2 , -2

6. I. 35x2 – 53x + 20 = 0
II. 56y2 -97y + 42 = 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:
I. 35x2 – 28x – 25x + 20 = 0
or 7x(5x – 4) – 5(5x – 4) = 0
or (7x – 5) (5x – 4) = 0
x  5/7 , 4/5
II. 56y2 – 48y – 49y + 42 = 0
or 8y(7y – 6) – 7(7y – 6) = 0
or (8y – 7) (7y – 6) = 0
y = 7/8 , 6/7

7. I. x = 34913
II. 13y + 3x = 246
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:
I. x = 3√4913
x = 17

II. 13y = 246 – 3x
or 13y = 246 – 51 = 195
y = 15
x > y

8. I. x2 – 5x – 14 = 0
II. y2+ 7y + 10 = 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:
I. x2– 7x + 2x – 14 = 0
or x(x – 7) + 2(x – 7) = 0
(x + 2) (x – 7) = 0
x = -2, 7
II. y2+ 5y + 2y + 10 = 0

or y(y + 5) + 2(y + 5) = 0
or (y + 2) (y + 5) = 0
y = -2, -5
x  y

9. I. x2= 64
II. 2y2 + 25y + 72 = 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:
I. x2= 64
x = ±8
II. 2y2+ 9y + 16y + 72 = 0

or, y(2y + 9) + 8(2y + 9) = 0
or, (y + 8) (2y + 9) = 0
y = -8 , -9/2
no relation between x and y.

10. I. x2 – 3481 = 0
II. 3y2 = 3216000
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:
I. x2= 3481
x = ± 59
II. 3y2= 3√216000

3y2= 60
y = ± √20

No relation

## 25 Thoughts to “Quantitative Aptitude: Quadratic Equations Set 23”

go to di section of this page if u havnt visited previously …:))

okkkk..don’t vorry….i will convey ur request to our respectful mods….:))

2. Ambika

Yes we ll post soon 🙂

1. karthik

again equations are very easy.. oops.

2. Ambika

yes sure …we ll post soon

3. EKTA

mam plsss maths and reasonong ke jada se jada quiz post kijiye,,,time is very less , we need to improve a lot

1. Ambika

yes we ll post 🙂
keep practising old sets bhi dobara kar liya kro 1-2 times usse tumhare concept or achhe se clear ho jayenge

1. EKTA

yess mam i am doing old one also….thank u mam…..

2. karthik

1. Ambika

yess corrected

3. KaRi\$hMa

1. Ambika

yess i ll edit 🙂

1. KaRi\$hMa

okk….:):) puzzles m bht tym lg rha h jo aj wali thi na unme….bht din bad ki h isliye….ap btao aj wali puzzle kitne min. m bnni chahiye…sahi speed??

4. Sourav Kumar

Yes second1 is wrng

5. DR. Jhatka

thanku ambika mam 🙂

6. Jellyfish

2)B
4)c
Pls edit it

1. yuvi

bro 4th should be C..

7. yuvi

mam..2-b
4-c
plzz correct it..

1. Jellyfish

Yes sorry 4)c

8. AVI™ (Sinchen loveR)

thnxxx :))

9. Ayushi

thanku..mam que 10 m 2nd eqn 60/3 =20 than 20 ka square root nhi nikalana kya i mean y =+20/-20 or root 20

1. yes
root to be taken.

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

plz check 10th Ques
2nd Equation solution

1. yes
root to be taken

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

done