Aptitude Questions – Quadratic Equations Set 36

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

1. 3x² – 11x + 10 = 0
   4y² + 24y + 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:
   3x² – 11x + 10 = 0
   x = 1.6, 2
   4y² + 24y + 35 = 0
   y = – 2.5, -3.5
   
   
2. 2x² – 14x + 24 = 0
   y² + 30y + 224 = 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:
   2x² – 14x + 24 = 0
   x = 3, 4
   y² + 30y + 224 = 0
   y = -16, -14
   
   
3. 3x² + 20x + 33 = 0
   2y² – 13y + 21 = 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:
   3x² + 20x + 33 = 0
   x = -3.6, -3
   2y² – 13y + 21 = 0
   y = 3, 3.5
   
   
4. x² – 20x + 91 = 0
   y² – 34y + 273 = 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 – 20x + 91 = 0
   x = 13, 7
   y² – 34y + 273 = 0
   y = 13, 21
   
   
5. (x – 13)² = 0
   y² = 169
   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 – 26x + 169 = 0
   x = 13, 13
   y² = 169
   y = ±13
   
   
6. x² – 38x + 312 = 0
   y² – 40y + 336 = 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 – 38x + 312 = 0
   x = 26, 12
   y² – 40y + 336 = 0
   y = 28, 12
   
   
7. x² – 33x + 272 = 0
   y² – 29y + 208 = 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 – 33x + 272 = 0
   x = 16, 17
   y² – 29y + 208 = 0
   y = 16, 13
   
   
8. x² – 37x + 322 = 0
   y² – 25y + 156 = 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 – 37x + 322 = 0
   x = 23, 14
   y² – 25y + 156 = 0
   y = 12, 13
   
   
9. x² = 81
   y² – 22y + 121 = 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 = 81
   x = 9, – 9
   y² – 22y + 121 = 0
   y = 11, 11
   
   
10. x² – 22x + 112 = 0
    y² – 20y + 84 = 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 – 22x + 112 = 0
    x = 14, 8
    y² – 20y + 84 = 0
    y = 14, 6