**Hello Aspirants**. Welcome to Online Quantitative Aptitude Section in AffairsCloud.com. 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 !!!

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

**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

**A. X > Y**

Explanation:

3x² – 11x + 10 = 0

x = 1.6, 2

4y² + 24y + 35 = 0

y = – 2.5, -3.5**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

**A. X > Y**

Explanation:

2x² – 14x + 24 = 0

x = 3, 4

y² + 30y + 224 = 0

y = -16, -14**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

**B. X < Y**

Explanation:

3x² + 20x + 33 = 0

x = -3.6, -3

2y² – 13y + 21 = 0

y = 3, 3.5**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

**D. X ≤ Y**

Explanation:

x² – 20x + 91 = 0

x = 13, 7

y² – 34y + 273 = 0

y = 13, 21**(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

**C. X ≥ Y**

Explanation:

x² – 26x + 169 = 0

x = 13, 13

y² = 169

y = ±13**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

**E. X = Y or relation cannot be established**

Explanation:

x² – 38x + 312 = 0

x = 26, 12

y² – 40y + 336 = 0

y = 28, 12**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

**C. X ≥ Y**

Explanation:

x² – 33x + 272 = 0

x = 16, 17

y² – 29y + 208 = 0

y = 16, 13**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

**A. X > Y**

Explanation:

x² – 37x + 322 = 0

x = 23, 14

y² – 25y + 156 = 0

y = 12, 13**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

**B. X < Y**

Explanation:

x² = 81

x = 9, – 9

y² – 22y + 121 = 0

y = 11, 11**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

**E. X = Y or relation cannot be established**

Explanation:

x² – 22x + 112 = 0

x = 14, 8

y² – 20y + 84 = 0

y = 14, 6

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