# Quantitative Aptitude: Quadratic Equations Questions Set 49

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. 3x– 8x – 16 = 0,
II. 4y2 – 11y – 20 = 0
If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option
x = -4/3, 4y = -5/4, 4

2. I. 3x2 + 8x + 4 = 0,
II. 2y2 – 7y – 4 = 0/span>
If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option
x = -2/3, -2 y = 4, -1/2

3. I. (625)1/4x + √1225  = 155
II. √196y + 13  = 279
If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option
x = 279 y = 19

4. I. 4x2–15x + 9 = 0,
II. 2y2 – 15y + 27 = 0
If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option
x = 3/4, 3 y = 3, 9/2

5. I. 3x2 + 22x + 24 = 0,
II. 2y2 + 7y – 4 = 0
If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option
x = -4/3, -6 y = -4, 1/2

6. I. 3x2 – 19x + 30 = 0,
II. 3y2 – 10y + 3 = 0
If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option
x = 3, 10/3 y = 1/3, 3

7. I. 5x2 – 36x – 32 = 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
x = -4/5, 8 y = -10/3, -2

8. I. 3x2 + 10x – 8 = 0,
II. 2y2 – 13y + 6 = 0
If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option
x = -2, 2/3 y = 1/2, 6

9. I. x2 – 652 = 504,
II. y = √1156
If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option

x2 – 652 = 504
x2 = 1156
So x = 34, -34
y = √1156 = 34

10. I. 3x2 – 19x + 28 = 0,
II. 4y2 – 11y + 6 = 0
If x > y
If x < y
If x ≥ y
If x ≤ y
If x = y or relation cannot be established
Option

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