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 !!!

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

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

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

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

(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

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

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

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

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

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

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