# Quantitative Aptitude: Quadratic Equation Questions Set 38

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. 2x2 – 17x + 36 = 0
II. 2y2 – 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 C
Solution:

x = 4, 9/2
y = -3/2, 4
Put all values on number line and analyze the relationship

-3/2……..4……..9/2
2. I. 2x2 + 13x + 15 = 0
II. 3y2 + 10y – 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 E
Solution:

x = -5, -3/2
y = -5, 5/3
Put all values on number line and analyze the relationship
-4…….. -3/2………5/3
3. I. 3x2 + 5x – 12 = 0
II. 3y2 – 16y + 16 = 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 = -3, 4/3
y = 4/3, 4
Put all values on number line and analyze the relationship
-3………4/3…….4
4. I. 2x2 –19x + 35 = 0
II. 3y2 + 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 A
Solution:

x = 5/2, 7
y = -7/3, 2
Put all values on number line and analyze the relationship
-7/3……………2…….. 5/2………….7
5. I. 2x2 + 15x + 27 = 0
II. 3y2 + y – 24 = 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 = -9/2, -3
y = -3, 8/3
Put all values on number line and analyze the relationship
-9/2……….-3…….8/3
6. I. 3x2 – 4x – 15 = 0
II. 2y2 – 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:

x = -5/3, 3
y = -3/2, 4
Put all values on number line and analyze the relationship
-5/3………-3/2………3……..4
7. I. 3x2 + 16x + 20 = 0
II. 2y2 – 3y – 9 = 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 = -10/3, -2
y = -3/2, 3
Put all values on number line and analyze the relationship
-10/3………-2………-3/2………3
8. I. 2x2 – 9x + 9 = 0
II. 2y2 + 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 C
Solution:

x = 3/2, 3
y = -4, 3/2
Put all values on number line and analyze the relationship
-4…….. 3/2……. 3
9. I. 2x2 – 13x + 20 = 0
II. 3y2 – 8y – 16 = 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 = 5/2, 4
y = -4/3, 4
Put all values on number line and analyze the relationship
-4/3………5/2…….4
10. I. 3x2 – 17x + 24 = 0
II. 2y2 – y – 15 = 0
A) x > y
B) x< y
C) x ≥ y
D) x ≤ y
E) x = y or relationship cannot be determined
Option C
Solution:

x = 3, 8/3
y = -5/2, 3
Put all values on number line and analyze the relationship
-5/2…….. 3……..8/3

## 3 Thoughts to “Quantitative Aptitude: Quadratic Equation Questions Set 38”

1. Anonymous

thnxx

2. Sachin shukla( Banker 2018)

Q-3 x is less than y becoz x. -3, 1.3 y. 2.6, 2

1. Both are correct
3
3x^2 + 5x – 12 = 0
3x^2 + 9x – 4x – 12 = 0
3x (x+3) – 4 (x+3) = 0
x = -3, 4/3

3y^2 – 16y + 16 = 0
3y^2 – 12y – 4y + 16 = 0
3y (y-4) – 4 (y-4) = 0
y = 4/3, 4

Try 10th also again