# Quantitative Aptitude: Quadratic Equations Questions Set 75

1. I. x^2 – 8x + 12 = 0
II. 2y^2 + 7y + 5 = 0
X ≥ Y
X ≤ Y
X > Y
X < Y
X= Y or no relation.
Option C
I. x^2 – 6x – 2x + 12 = 0
x = 6, 2
II. 2y^2 + 5y + 2y + 5 = 0
2y = -5, -2
y = -2.5, -1

2. I. y^2 = 196
II. x^2 – 30x + 225 = 0
X ≥ Y
X > Y
X ≤ Y
X= Y or no relation.
X < Y
Option B
I. y = 14, -14
II. x^2 – 15x – 15x + 225 = 0
x = 15, 15

3. I. 4x^2 + 14x – 8 = 0
II. y^2 + 8y + 16 = 0
X ≤ Y
X= Y or no relation.
X < Y
X > Y
X ≥ Y
Option E
I. 4x^2 + 16x – 2x – 8 = 0
4x = -16, 2
x = -4, .5
II. y^2 + 4y + 4y + 16 = 0
y = -4, -4

4. I. x^3 = 1728
II. y^2 – 24y + 144 = 0
X < Y
X ≤ Y
X= Y or no relation.
X ≥ Y
X > Y
Option C
I. x = 12
II. y^2 – 12y – 12y + 144 = 0
y = 12, 12

5. I. x^2 – 32x + 156 = 0
II. y^2 – 33y + 140 = 0
X ≥ Y
X > Y
X ≤ Y
X= Y or no relation.
X < Y
Option D
I. x^2 – 26x – 6x + 156 = 0
x = 26, 6
II. y^2 – 28y – 5y + 140 = 0
y = 28, 5

6. I. 2x^2 – 24x + 64 = 0
II. y^3 = 512
X < Y
X= Y or no relation.
X ≤ Y
X > Y
X ≥ Y
Option C
I. 2x^2 – 16x – 8x + 64 = 0
2x = 16, 8
x = 8, 4
II. y^3 = 512
y = 8

7. I. x^2 = 400
II. y = √400
X ≥ Y
X < Y
X ≤ Y
X= Y or no relation.
X > Y
Option C
I. x^2 = 400
x = 20, -20
II. y = √400
y = 20

8. I. x^2 – 7x + 12 = 0
II. y^2 + 5y + 6 = 0
X ≤ Y
X < Y
X= Y or no relation.
X > Y
X ≥ Y
Option D
I. x^2 – 4x – 3x + 12 = 0
x = 4, 3
II. y^2 + 3y + 2y + 6 = 0
y = -3, -2

9. I. x^2 – 14x + 48 = 0
II. y^2 = 64
X > Y
X < Y
X ≥ Y
X ≤ Y
X= Y or no relation.
Option E
I. x^2 – 8x – 6x + 48 = 0
x = 8, 6
II. y^2 = 64
y = + 8, – 8

10. I. 2x^2 + 19x + 34 = 0
II. y – 8y + 15 = 0
X < Y
X > Y
X ≤ Y
X ≥ Y
X= Y or no relation.
Option A
I. 2x^2 + 17x + 2x + 3 = 0
2x = – 17, – 2
x = – 8.5, – 1
II. y – 5y – 3y + 15 = 0
y = 5, 3

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