# Quantitative Aptitude: Quadratic Equation Questions Set 43

Quadratic Equation Questions 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 – 21x – 55 = 0
II. 3y2 – 14y – 5 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option C
Solution:
x = 5, 11/2
y = -1/3, 5
Put all values on number line and analyze the relationship
-1/3………5……..11/2

2. I. 3x2 – 13x + 14 = 0
II. 3y2 – 19y + 28 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
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

3. I. 3x2 + 2x – 21 = 0
II. 3y2 – 13y + 14 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option E
Solution:
x = -3, 7/3
y = 2, 7/3
Put all values on number line and analyze the relationship
-3………..2……7/3

4. I. 3x2 – 11x – 4 = 0
II. 3y2 + 14y + 16 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option A
Solution:
x = -1/3, 4
y = -8/3, -2
Put all values on number line and analyze the relationship
-8/3………..-2……6

5. I. 3x2 – 8x + 4 = 0
II. 3y2 – 19y + 30 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option B
Solution:
x = 2/3, 2
y = 3, 10/3
Put all values on number line and analyze the relationship
2/3……2……..3……10/3

6. I. 3x2 – 11x + 6 = 0
II. 3y2 – 16y + 20 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option E
Solution:
x = 2/3, 3
y = 2, 10/3
Put all values on number line and analyze the relationship
2/3……2……..3……10/3

7. I. 3x2 – 4x – 32 = 0
II. 3y2 + 14y + 16 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option E
Solution:
x = -8/3, 4
y = -8/3, -2
Put all values on number line and analyze the relationship
-8/3………..-2……….4

8. I. 2x2 + 13x + 20 = 0
II. 2y2 + 5y – 12 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option E
Solution:
x = -4, -5/2
y = -4, 3/2
Put all values on number line and analyze the relationship
-4……….-5/2……..3/2

9. I. 3x2 – 17x + 20 = 0
II. 3y2 + y – 10 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
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

10. I. 4x2 – 15x + 9 = 0
II. 2y2 – 13y + 21 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option D
Solution:
x = 3, 7/2
y = 3/4, 3
Put all values on number line and analyze the relationship
3/4………..3……..7/2

## 3 Thoughts to “Quantitative Aptitude: Quadratic Equation Questions Set 43”

1. amit

Madam , question no. 1 in wrong. please maintain the dignity as you provide good set of question.

2. swati

QUES NO 1 AS PER SIGN RULE…AND OTHERWISE ALSO IS NOT CORRECT …..PLEASE MAKE CORRECTION…THANK YOU TEAM az

3. Marry..

ty AZ