# Aptitude Questions – Quadratic Equations Set 34

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Follow the link To solve Quadratic Equations with the help of Number Line

1. 2x² + 20x + 50 = 0
2y² + 22y + 56 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Answer & Explanation
E. X = Y or relation cannot be established
Explanation:

2x² + 20x + 50 = 0
x² + 10x + 25 = 0
x = -5
2y² + 22y + 56 = 0
y = -4, -7
2. 2x² – 13x + 21 = 0
y² – 33y + 272 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Answer & Explanation
B. X < Y
Explanation:

2x² – 13x + 21 = 0
x = 3.5, 3
y² – 33y + 272 = 0
y = 16, 17
3. x² – 29x + 208 = 0
y² + 9y + 14 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Answer & Explanation
A. X > Y
Explanation:

x² – 29x + 208 = 0
x = 13, 16
y² + 9y + 14 = 0
y = -2, -7
4. x² – 25x + 156 = 0
y² – 65y + 676 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Answer & Explanation
D. X ≤ Y
Explanation:

x² – 25x + 156 = 0
x = 13, 12
y² – 65y + 676 = 0
y = 13, 52
5. 2x² – 7x + 6 = 0
2y² – 9y + 10 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Answer & Explanation
D. X ≤ Y
Explanation:

2x² – 7x + 6 = 0
x = 1.5, 2
2y² – 9y + 10 = 0
y = 2, 2.5
6. x² – 39x + 324 = 0
y² – 47y + 420 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Answer & Explanation
E. X = Y or relation cannot be established
Explanation:

x² – 39x + 324 = 0
x = 27, 12
y² – 47y + 420 = 0
y = 35, 12
7. x² – 31x + 240 = 0
y² – 29y + 210 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Answer & Explanation
C. X ≥ Y
Explanation:

x² – 31x + 240 = 0
x = 15, 16
y² – 29y + 210 = 0
y = 15, 14
8. x² + 40x + 391 = 0
y² – 20y – 525 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Answer & Explanation
B. X < Y
Explanation:

x² + 40x + 391 = 0
x = -23, -17
y² – 20y – 525 = 0
y = 35, – 15
9. 4x² + 19x + 21 = 0
3y² + 29y + 56 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Answer & Explanation
E. X = Y or relation cannot be established
Explanation:

4x² + 19x + 21 = 0
x = -3, – 1.75
3y² + 29y + 56 = 0
y = -7, -2.6
10. x² – 16x + 63 = 0
6y² – 29y + 35 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y
E. X = Y or relation cannot be established
Answer & Explanation
A. X > Y
Explanation:

x² – 16x + 63 = 0
x = 7, 9
6y² – 29y + 35 = 0
y = 2.3, 2.5