Aptitude Questions – Quadratic Equations

For Daily Job Alert	Join Our Whats App Channel
For Free Study Material	Join Our Telegram Channel

Here we are creating sample questions in Quadratic Equations which is common for all the competitive exams. We have included Some questions that are repeatedly asked in bank exams !!!

1. x² – 32x + 252 = 0
   y² – 28y + 192 = 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 – 32x + 252 = 0
   x = 18, 14
   y² – 28y + 192 = 0
   y = 12, 16
2. x² – 32x + 247 = 0
   y² – 22y + 117 = 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 – 32x + 247 = 0
   x = 13, 19
   y² – 22y + 117 = 0
   y = 13, 9
3. x² + 29x + 208 = 0
   y² + 19y + 78 = 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 + 29x + 208 = 0
   x = -13, -16
   y² + 19y + 78 = 0
   y = -13, -6
4. x² – 22x + 105 = 0
   y² – 27y + 162 = 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 + 105 = 0
   x = 15, 7
   y² – 27y + 162 = 0
   y = 18, 9
5. (x – 18)² = 0
   y² = 324
   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 – 36x + 324 = 0
   x = 18, 18
   y² = 324
   y = ±18
6. x² – 41x + 400 = 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

    A. X > Y
   Explanation:
   x² – 41x + 400 = 0
   x = 25, 16
   y² – 29y + 210 = 0
   y = 14, 15
7. x² – 25x + 156 = 0
   y² – 32y + 255 = 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 – 25x + 156 = 0
   x = 12, 13
   y² – 32y + 255 = 0
   y = 15, 17
8. x² – 35x + 294 = 0
   y² – 23y + 132 = 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 – 35x + 294 = 0
   x = 21, 14
   y² – 23y + 132 = 0
   y = 11, 12
9. x² = 64
   y² – 34y + 289 = 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 = 64
   x = 8, – 8
   y² – 34y + 289 = 0
   y = 17, 17
10. x² – 29x + 208 = 0
    y² – 32y + 255 = 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 – 29x + 208 = 0
    x = 13, 16
    y² – 32y + 255 = 0
    y = 15, 17