# Quantitative Aptitude: Quadratic Equation Set 36

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. 3x2 – 4x – 4 = 0,
II. 3y2 + 17y + 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:

x = -2/3, 2
y = -5, -2/3
Put all values on number line and analyze the relationship

-5……..-2/3…….2
2. I. 3x2 – 15x + 12 = 0,
II. 3y2 – 19y + 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 = 4/3, 3
y = 4/3, 5
Put all values on number line and analyze the relationship
4/3…….. 3………5
3. I. 2x2 – 17x + 35 = 0,
II. 3y2 – 4y – 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 A
Solution:

x = 7/2, 5
y = -5/3, 3
Put all values on number line and analyze the relationship
-5/3…….3…….7/2………5
4. I. 3x2 – 4x – 15 = 0,
II. 3y2 – 23y + 30 = 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 = -5/3, 3
y = 5/3, 6
Put all values on number line and analyze the relationship
-5/3…….. 5/3……..3……….6
5. I. 3x2 – 5x – 28 = 0,
II. 2y2 – 17y + 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 D
Solution:

x = -7/3, 4
y = 4, 9/2
Put all values on number line and analyze the relationship
-7/3……….4…..9/2
6. I. 3x2 – 17x + 20 = 0
II. 3y2 + y – 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:

x = 5/3, 4
y = -2, 5/3
Put all values on number line and analyze the relationship
-2………5/3……….4
7. I. 2x2 + 17x + 36 = 0,
II. 3y2 – 17y – 6 = 0
A) x > y
B) x< y
C) x ≥ y
D) x ≤ y
E) x = y or relationship cannot be determined
Option B
Solution:

x = -9/2, -4
y = -1/3, 6
Put all values on number line and analyze the relationship
-9/2……….-4………-1/3……….6
8. I. 2x2 – 13x + 20 = 0,
II. 2y2 + 5y – 18 = 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 = 5/2, 4
y = -9/2, 2
Put all values on number line and analyze the relationship
-9/2……2…….. 5/2…….4
9. I. 2x2 – 17x + 36 = 0,
II. 3y2 – 28y + 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 E
Solution:

x = 4, 9/2
y = 4, 16/3
Put all values on number line and analyze the relationship
4…….9/2…….. 16/3
10. I. 3x2 – 2x – 21 = 0,
II. 2y2 – 15y + 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:

x = -7/3, 3
y = 3, 9/2
Put all values on number line and analyze the relationship
-7/3…….. 3……..9/2

1. pulkit

Ty mam:)

2. mini

thnk u az