# Quantitative Aptitude: Quadratic Equation Questions Set 44

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. 2y2 – 17y + 36 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option A
x = 5, 11/2
y = 4, 9/2
Put all values on number line and analyze the relationship
4………9/2……….5……..11/2

2. I. 2x2 + 13x + 15 = 0
II. 3y2 – 11y – 4 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option B
x = -1/3, 4
y = -5, -3/2
Put all values on number line and analyze the relationship
-5………-3/2……….-1/3……..4

3. I. 3x2 – 8x – 16 = 0
II. 3y2 + 13y + 12 = 0

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

4. I. 3x2 + 11x – 20 = 0
II. 3y2 – 13y + 12 = 0

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

5. I. 2x2 + 3x – 20 = 0
II. 2y2 + y – 15 = 0

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

6. I. 3x2 + 8x – 16 = 0
II. 3y2 – 13y – 30 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option E
x = -4, 4/3
y = -5/3, 6
Put all values on number line and analyze the relationship
-4………-5/3……..4/3………..6

7. I. 2x2 – 19x + 44 = 0
II. 3y2 – 4y – 32 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option C
x = 4, 11/2
y = -8/3, 4
Put all values on number line and analyze the relationship
-8/3………4……..11/2

8. I. 3x2 + 4x – 15 = 0
II. 3y2 – 17y + 20 = 0

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

9. 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 E
x = -3/2, 6
y = -4, -5/2
Put all values on number line and analyze the relationship
-4………-5/2……..-3/2 ………6

10. I. 2x2 + 17x + 30 = 0
II. 3y2 + 14y – 24 = 0

If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option E
x = -6, -5/2
y = -6, 4/3
Put all values on number line and analyze the relationship
-6………-5/2……..4/3

## 2 Thoughts to “Quantitative Aptitude: Quadratic Equation Questions Set 44”

1. ahtesham ahmed

8/8

2. Celestial

mam 9th ka cant be determine hona chahiye..