# Quantitative Aptitude: Quadratic Equations Questions Set 74

1. I. x^2 – 13x – 198 = 0
II. y^2 – 21y + 108 = 0
X > Y
X < Y
X ≤ Y
X ≥ Y
X= Y or no relation.
Option E
I. x^2 – 22x + 9x – 198 = 0
x = 22, -9
II. y^2 – 12y – 9y + 108 = 0
y = 12, 9

2. I. x^2 – 9x + 20 = 0
II. y^2 – 11y + 30 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X= Y or no relation.
Option D
I. x^2 – 5x – 4x + 20 = 0
x = 5, 4
II. y^2 – 6y – 5y + 30 = 0
y = 6, 5

3. I. x^2 – 30x + 216 = 0
II. y^2 – 34y + 168 = 0
X > Y
X < Y
X ≥ Y
X= Y or no relation.
X ≤ Y
Option D
I. x^2 – 18x – 12x + 216 = 0
x = 18, 12
II. y^2 – 28y – 6y + 168 = 0
y = 28, 6

4. I. x^2 = 1024
II. y^2 – 38y + 192 = 0
X > Y
X < Y
X ≥ Y
X ≤ Y
X= Y or no relation.
Option E
I. x^2 = 1024
x = 32, -32
II. y^2 – 32y – 6y + 192 = 0
y = 32, 6

5. I. x^2 – 27x + 92 = 0
II. y^2 + 22y + 112 = 0
X > Y
X < Y
X ≤ Y
X ≥ Y
X= Y or no relation.
Option A
I. x^2 – 23x – 4x + 92 = 0
x = 23, 4
II. y^2 + 14y + 8y + 112 = 0
y = -14, -8

6. I. 4x^2 – 2x – 12 = 0
II. 3y^2 + 20y + 32 = 0
X > Y
X < Y
X= Y or no relation.
X ≤ Y
X ≥ Y
Option A
I. 4x^2 – 8x + 6x – 12 = 0
4x = 8, -6
x = 2, – 1.5
II. 3y^2 + 12y + 8y + 32 = 0
3y = -12, -8
y = -4, -2.67

7. I. x^4 = 4096
II. y^2 – 28y – 160 = 0
X > Y
X < Y
X ≤ Y
X= Y or no relation.
X ≥ Y
Option C
I. x^4 = 4096
x = 8, -8
II. y^2 – 20y – 8y – 160 = 0
y = 20, 8

8. I. x^2 – 20x + 96 = 0
II. y^2 + 3y – 28 = 0
X > Y
X < Y
X ≤ Y
X ≥ Y
X= Y or no relation.
Option A
I. x^2 – 12x – 8x + 96 = 0
x = 12, 8
II. y^2 + 7y – 4y – 28 = 0
y = -7, 4

9. I. x^2 – x – 6 = 0
II. y^2 + 5x + 4 = 0
X > Y
X < Y
X ≥ Y
X= Y or no relation.
X ≤ Y
Option D
I. x^2 – 3x + 2x – 6 = 0
x = 3, -2
II. y^2 + 4y + y + 4 = 0
y = -4, -1

10. I. x^2 – 5x – 84 = 0
II. y^2 – 32y + 252 = 0
X > Y
X < Y
X ≥ Y
X= Y or no relation.
X ≤ Y
Option B
I. x^2 – 12x + 7x – 84 = 0
x = 12, -7
II. y^2 – 14y – 18y + 252 = 0
y = 14, 18