# Aptitude Questions – Quadratic Equations

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Quantitative Aptitude Tricks

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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