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

**7/√y + 2/√y = √y**

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(2x + 3) = 90

x = -7.5, 6

7/√y + 2/√y = √y

1/√y (7 + 2) = √y => y = 9**1/x-3 + 1/x+5 = 1/3**

**y – √16 = √9**

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y

E. X = Y or relation cannot be established

**D. X ≤ Y**

Explanation:

1/x-3 + 1/x+5 = 1/3

x = -3, 7

y – √16 = √9

y = 4 + 3 = 7**x² – 30**^{5/2}/√x = 0

**y(55 – y) = 750**

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 – 30^{5/2}/√x = 0

x^{5/2}= 30^{5/2}

x = 30

y(55 – y) = 750 => y = 25, 30**√(x + 5) = √784 – √625**

**y(27 – y) = 182**

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 + 5) = √784 – √625

x + 5 = 9 => x = 4

y(27 – y) = 182

y = 13, 14**y² – x² = 112**

**y – x = 8**

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y

E. X = Y or relation cannot be established

**B. X < Y**

Explanation:

y² – x² = 112

y – x = 8

(y + x) (y – x) = 112

(y + x) 8 = 112

y + x = 14

y – x = 8

y = 11 and x = 3**480/x = [480/(x – 8)] – 3**

**y(10y – 1) = 2**

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:

480/x = [480/(x – 8)] – 3

x = 40, -32

y(10y – 1) = 2

10y^{2}– y – 2 = 0; y = 0.5, -0.4**x**^{2}=1600, 360/y = 360/(y +5) + 1

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^{2}= 1600

x = 40, -40

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

y = 40, -45**√2116x – √8464= 0, (625)**^{1/4}y – (1000)^{1/3}=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:

√2116x – √8464 = 0

46x – 92 = 0

x = 2

(625)^{1/4}y – (1000)^{1/3}=0

5y – 10 = 0

y = 2**(x + 2)(x + 1) = (x – 2)(x – 3)**, (y + 3)(y + 29) = 360

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 + 2)(x + 1) = (x – 2)(x – 3)

x = 1/2 = 0.5

(y + 3)(y + 29) = 360

y = 7, -39**9x – 17.45 = 67.55 + 4x,****(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

**A. X > Y**

Explanation:

9x – 17.45 = 67.55 + 4x

9x – 4x = 67.55 + 17.45

5x = 85 => x= 17

(y – 6)(y – 5) = (y – 4)(y – 3)

4y = 18; y = 4.5

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