# Quantitative Aptitude: Quadratic Equation Questions Set 39

Quadratic Equations for IBPS PO/RRB, SBI, RBI, NICL, NIACL, LIC, UIIC, OICL, 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 – 5x – 12= 0
II. 3y2 – 2y – 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
Option E
Solution:

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

-4/3……..2………3
2. I. 3x2 + 7x – 20 = 0
II. 2y2 + 3y – 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 E
Solution:

x = -4, 5/3
y = -4, 5/2
Put all values on number line and analyze the relationship
-4………5/3………..5/2
3. I. 3x2 – 8x – 16 = 0
II. 2y2 + 15y + 25 = 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:

x = -4/3, 4
y = -5, -5/2
Put all values on number line and analyze the relationship
-5………-5/2……….-4/3…….4
4. I. 3x2 –13x + 14 = 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 D
Solution:

x = 2, 7/3
y = 7/3, 4
Put all values on number line and analyze the relationship
2……………7/3…………4
5. I. 3x2 – 10x – 8 = 0
II. 2y2 + 21y + 54 = 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:

x = -2/3, 4
y = -6, -9/2
Put all values on number line and analyze the relationship
-6……….-9/2…….-2/3………4
6. I. 3x2 + 20x + 12 = 0
II. 2y2 + y – 36 = 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:

x = -6, -2/3
y = -9/2, 4
Put all values on number line and analyze the relationship
-6………-9/2………-2/3……..4
7. I. 3x2 – 5x – 28 = 0
II. 3y2 + y – 14 = 0
A) x > y
B) x< y
C) x ≥ y
D) x ≤ y
E) x = y or relationship cannot be determined
Option E
Solution:

x = -7/3, 4
y = -7/3, 2
Put all values on number line and analyze the relationship
-7/3………2………4
8. I. 3x2 + 19x + 30 = 0
II. 3y2 + 8y + 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:

x = -10/3, -3
y = -2, -2/3
Put all values on number line and analyze the relationship
-10/3…….. -3………..-2……. -2/3
9. I. 3x2 – 2x – 16 = 0
II. 3y2 – 23y + 40 = 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:

x = -2, 8/3
y = 8/3, 5
Put all values on number line and analyze the relationship
-2………8/3…….5
10. I. 4x2 + 9x – 9 = 0
II. 4y2 – 23y + 15 = 0
A) x > y
B) x< y
C) x ≥ y
D) x ≤ y
E) x = y or relationship cannot be determined
Option D
Solution:

x = -3, 3/4
y = 3/4, 5
Put all values on number line and analyze the relationship
-3…….. 3/4……..5