 # Quantitative Aptitude: Quadratic Equations Set 19

Quadratic Equations Practice Sets 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 + 4 = 0,
II. 2y2 – 7y – 4 = 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 + 8x + 4 = 0
3x2 + 6x + 2x + 4 = 0
Gives x = -2/3, -2
2y2 – 7y – 4 = 0
2y2 + y – 8y – 4 = 0
Gives y = 4, -1/2
Put all values on number line and analyze the relationship
-2…. -2/3….-1/2….. 4
2. I. 2x2 – 13x + 20 = 0,
II. 3y2 + 4y – 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
Option A
Solution:

2x2 – 13x + 20 = 0
2x2 – 8x – 5x + 20 = 0
Gives x = 5/2, 4
3y2 + 4y – 20 = 0
3y2 – 6y + 10y – 20 = 0
Gives y = 2, -10/3
3. I. 3x2 + x – 14 = 0,
II. 3y2 – 5y – 12 = 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:

3x2 + x – 14 = 0
3x2 – 6x + 7x – 14 = 0
Gives x = 2, -7/3
3y2 – 5y – 12 = 0
3y2 – 9y + 4y – 12 = 0
Gives y = -4/3, 3
4. I. 3x2 – 2x – 21 = 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
Option C
Solution:

3x2 – 2x – 21 = 0
3x2 – 9x + 7x – 21 = 0
Gives x = -7/3, 3
3y2 + 19y + 28 = 0
3y2 + 12y + 7y + 28 = 0
Gives y= -7/3, -4
5. I. 4x2 + 23x + 28 = 0,
II. 4y2 – y – 14 = 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 + 23x + 28 = 0
4x2 + 16x + 7x + 28 = 0
Gives x = -4, -7/4
4y2 – y – 14 = 0
4y2 – 8y + 7y – 14 = 0
Gives y= -7/4, 2
6. I. 4x2 + x – 18 = 0,
II. 4y2 – 3y – 27 = 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 – 3y – 27 = 0
4y2 – 12y + 9y – 27 = 0
Gives y = -9/4, 3
7. I. 3x2 – 16x + 21 = 0,
II. 2y2 – y – 6 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relationship cannot be determined
Option A
Solution:

3x2 – 16x + 21 = 0
3x2 – 9x – 7x + 21 = 0
Gives x = 3, 7/3
2y2 – y – 6 = 0
2y2 – 4y + 3y – 6 = 0
So y = -3/2, 2
8. I. 3x2 + x – 2 = 0,
II. 4y2 + 13y + 10 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relationship cannot be determined
Option A
Solution:

3x2 + x – 2 = 0
3x2 + 3x – 2x – 2 = 0
Gives x = -1/3, 2
4y2 + 13y + 10 = 0
4y2 + 8y + 5y + 10 = 0
So y = -2, -5/4
9. I. 4x2 + 29x + 45 = 0,
II. 4y2 – 3y – 27 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relationship cannot be determined
Option D
Solution:

4x2 + 29x + 45 = 0
4x2 + 20x + 9x + 45 = 0
Gives x = -5, -9/4
4y2 – 3y – 27 = 0
4y2 – 12y + 9y – 27 = 0
So y = -9/4, 3
10. I. 3x2 – 22x + 35 = 0,
II. 3y2 – 16y + 21 = 0
A) x > y
B) x < y
C) x ≥ y
D) x ≤ y
E) x = y or relationship cannot be determined
Option E
Solution:

3x2 – 22x + 35 = 0
3x2 – 15x – 7x + 35 = 0
Gives x = 7/3, 5
3y2 – 16y + 21 = 0
3y2 – 9y – 7y + 21 = 0
So y = 7/3, 3

## 28 Thoughts to “Quantitative Aptitude: Quadratic Equations Set 19”

1. Destiny : Ultimate

yes
its correct x>y

1. BETTER THAN YESTERDAY

Its correct.7. A
10. Is wrong. Isn’t it ??x greater equals y

1. Destiny : Ultimate

no …relation cant be determind hoga

1. BETTER THAN YESTERDAY

Aisaa…… ,
Values mere same h…. I think, me logically incorrect ho raha hun….:/

1. Destiny : Ultimate

see above

2. Destiny : Ultimate

x— +5 +2.3
y— +3 +2.3

x is greatr than y but in y 3 is also greatr than 2.3 so relatn cant b determind

1. BETTER THAN YESTERDAY

Achaaa,,,, haaan….. Ab samjha,,,, me 2.3<5 h ni dekha…
Thankeww, clear ho gya.

1. Destiny : Ultimate

:))

2. BETTER THAN YESTERDAY

:))

2. Destiny : Ultimate

kya ?

2. BETTER THAN YESTERDAY

Q.10 is wrong…

1. ??????????|||√乇刀り乇ｲｲﾑ™

Qo is Totally correct.

1. BETTER THAN YESTERDAY

My silly mistake was that.

1. ??????????|||√乇刀り乇ｲｲﾑ™

Its Fine,it happens sometime .

3. MiMi

thank u az :))

4. Sachin Shukla

10/10 thankuuu Az:)

5. ??????????|||√乇刀り乇ｲｲﾑ™

Qo is Correct .re-check your Condition

6. Marry..

thanku

7. Sandeep Yadav

6th ka answer y>=x hona chahiye

1. Suraj

X,Y(-9/4)—– X(2)—-Y(3)
So no relation

1. Sandeep Yadav

Thanks

8. Sandeep Yadav

X—-2& -9/4 Y—–3&-9/4

9. Ak\$hita \$inghal

shukria..

10. Ak\$hita \$inghal

respected mode pls rrb po pre level ka maths post kijie… 🙂

11. kumkum ahuja

thank u az 🙂

12. Ayushi

tquu 🙂

13. Ayushi

thanku

14. 티비위키

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