# Quantitative Aptitude: Quadratic Equation Set 37

Quadratic Equations for IBPS PO/RRB, SBI, RBI, NICL, NIACL, LIC, UICL, OICL, 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. 12x2 + 25x + 12 = 0
II. 4y2 â€“ 5y â€“ 6 = 0
A) If x > y
B) If x < y
C) If x â‰¥ y
D) If x â‰¤ y
E) If x = y or relation cannot be established
Option D
Solution:

x = -4/3, -3/4
y = -3/4, 2
Put all values on number line and analyze the relationship

-4/3â€¦…..-3/4……..2
2. I. 3x2 – 19x + 28 = 0
II. 6y2 + 11y â€“ 7 = 0
A) If x > y
B) If x < y
C) If x â‰¥ y
D) If x â‰¤ y
E) If x = y or relation cannot be established
Option A
Solution:

x = 7/3, 4
y = 1/2, -7/3
Put all values on number line and analyze the relationship
-7/3â€¦….. 1/2â€¦……7/3……….4
3. I. 2x2 â€“ 3x – 9 = 0
II. 3y2 â€“ y – 10 = 0
A) If x > y
B) If x < y
C) If x â‰¥ y
D) If x â‰¤ y
E) If x = y or relation cannot be established
Option E
Solution:

x = -3/2, 3
y = -5/3, 2
Put all values on number line and analyze the relationship
-5/3………-3/2…….2………3
4. I. 4x2 + 17x + 15 = 0
II. 6y2 + 23y + 21 = 0
A) If x > y
B) If x < y
C) If x â‰¥ y
D) If x â‰¤ y
E) If x = y or relation cannot be established
Option E
Solution:

x = -3, -5/4
y = -7/3, -3/2
Put all values on number line and analyze the relationship
-3……………-7/3â€¦….. -3/2………….-5/4
5. I. 4x2 â€“ 19x + 12 = 0
II. 2y2 – 17y + 36 = 0
A) If x > y
B) If x < y
C) If x â‰¥ y
D) If x â‰¤ y
E) If x = y or relation cannot be established
Option D
Solution:

x = 3/4, 4
y = 4, 9/2
Put all values on number line and analyze the relationship
3/4……….4…..9/2
6. I.Â 3x2 + 13x + 14 = 0
II. 3y2Â + y – 10 = 0
A) If x > y
B) If x < y
C) If x â‰¥ y
D) If x â‰¤ y
E) If x = y or relation cannot be established
Option D
Solution:

x = -7/3, -2
y = -2, 5/3
Put all values on number line and analyze the relationship
-7/3………-2………5/3
7. I. 2x2 â€“ 19x + 42 = 0
II. 3y2 â€“ 17y – 6 = 0
A) x > y
B) x< y
C) x â‰¥ y
D) x â‰¤ y
E) x = y or relationship cannot be determined
Option E
Solution:

x = 7/2, 6
y = -1/3, 6
Put all values on number line and analyze the relationship
-1/3………7/2………6
8. I. 3x2 + 16x + 20 = 0
II. 3y2Â â€“ 14y â€“ 5 = 0
A) If x > y
B) If x < y
C) If x â‰¥ y
D) If x â‰¤ y
E) If x = y or relation cannot be established
Option B
Solution:

x = -2, -10/3
y = -1/3, 5
Put all values on number line and analyze the relationship
-10/3â€¦ -2â€¦. -1/3â€¦. 5
9. I. 2x2Â – 17x + 36 = 0
II. 6y2Â â€“ 35y + 50 = 0
A) If x > y
B) If x < y
C) If x â‰¥ y
D) If x â‰¤ y
E) If x = y or relation cannot be established
Option A
Solution:

x = 4, 9/2
y = 5/2, 10/3
Put all values on number line and analyze the relationship
5/2………10/3…….4……9/2
10. I. 3x2 + 4x â€“ 39 = 0
II. 2y2Â – 15y + 27 = 0
A) x > y
B) x< y
C) x â‰¥ y
D) x â‰¤ y
E) x = y or relationship cannot be determined
Option D
Solution:

x = -13/3, 3
y = 3, 9/2
Put all values on number line and analyze the relationship
-13/3â€¦….. 3â€¦…..9/2

## 4 Thoughts to “Quantitative Aptitude: Quadratic Equation Set 37”

1. rizzleâ–¶ibps out girl

mod

2. karthik

10/10

3. jaga

thank u mam