**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**

**(x – 3)(x + 2) = 0**

**y² – 7y + 12 = 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:

(x – 2) (x + 1) = 0

x = 3, -2

y² – 7y + 12 = 0

y = 3, 4**1/x+4 – 1/x-7 = 11/30**

**1/y-3 + 1/y+5 = 1/3**

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:

1/x+4 – 1/x-7 = 11/30

x = 1, 2

1/y-3 – 1/y+5 = 1/3

y = -3, 7**x(35 – x) = 124**

**y(2y + 3) = 90**

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:

x(35 – x) = 124

x = 31, 4

y(2y + 3) = 90

y = -7.5, 6**x(27 – x) = 182**

**y(55 – y) = 750**

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y

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

Explanation:

x(27 – x) = 182

x = 13, 14

y(55 – y) = 750

y = 25, 30**x(x + 1) = 306**

**y(2y + 1) = 528**

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:

x(x + 1) = 306

x = 17, -18

y(2y + 1) = 528

y = 16, -16.5**(x + 3)(x + 29) = 360**

**480/y =[480/(y – 8)] – 3**

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:

(x + 3)(x + 29) = 360

x = 7, -39

480/y = [480/(y – 8)] – 3

y = 40, -32**360/x = 360/(x +5) + 1**

**y² – 6y – 216 = 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:

360/x = 360/(x +5) + 1

x = 40, -45

y² – 6y – 216 = 0

y = -12, 18**2x² + x – 300 = 0**

**y² – 45y + 324 = 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:

2x² + x – 300 = 0

x = 12, -12.5

y² – 45y + 324 = 0

y = 36, 9**(x + 2)(x + 1) = (x – 2)(x – 3)**

**(y + 3)(y + 2) = (y – 1)(y – 2)**

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y

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

Explanation:

(x + 2)(x + 1) = (x – 2)(x – 3)

x = 1/2 = 0.5

(y + 3)(y + 2) = (y – 1)(y – 2)

y = – 1/2 = -0.5**(x – 2)(x – 3) = (x – 4)(x – 5)**

**(y – 6)(y – 5) = (y – 4)(y – 3)**

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y

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

Explanation:

(x – 2)(x – 3) = (x – 4)(x – 5)

4x = 14

x = 3.5

(y – 6)(y – 5) = (y – 4)(y – 3)

4y = 18; y = 4.5

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