**Hello Aspirants**. Welcome to Online Quantitative Aptitude Section in AffairsCloud.com. Here we are creating sample questions inÂ **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/âˆšy + 2/âˆšy =Â âˆšy**

A. X > Y

B. X < Y

C. X â‰¥ Y

D. X â‰¤ Y

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

Explanation:

x(2x + 3) = 90

x = -7.5, 6

7/âˆšy + 2/âˆšy =Â âˆšy

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

**y – Â âˆš16 =Â âˆš9**

A. X > Y

B. X < Y

C. X â‰¥ Y

D. X â‰¤ Y

E. X = Y or relation cannot be established**D. X â‰¤ Y**

Explanation:

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

x = -3, 7

y – âˆš16 =Â âˆš9

y = 4 + 3 = 7**xÂ² – 30**^{5/2}/âˆšx = 0

**y(55 â€“ y) = 750**

A. X > Y

B. X < Y

C. X â‰¥ Y

D. X â‰¤ Y

E. X = Y or relation cannot be established**C. X â‰¥ Y**

Explanation:

xÂ² – 30^{5/2}/âˆšx = 0

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

x = 30

y(55 â€“ y) = 750 => y = 25, 30**âˆš(x + 5) =Â âˆš784 – âˆš625**

**y(27 â€“ y) = 182**

A. X > Y

B. X < Y

C. X â‰¥ Y

D. X â‰¤ Y

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

Explanation:

âˆš(x + 5) =Â âˆš784 – âˆš625

x + 5 = 9 => x = 4

y(27 â€“ y) = 182

y = 13, 14**yÂ² – xÂ² = 112**

**y – x = 8**

A. X > Y

B. X < Y

C. X â‰¥ Y

D. X â‰¤ Y

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

Explanation:

yÂ² – xÂ² = 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 â‰¥ Y

D. X â‰¤ 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 Â = 360/(y +5) + 1

A. X > Y

B. X < Y

C. X â‰¥ Y

D. X â‰¤ Y

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

Explanation:

x^{2}=Â 1600

x = 40, -40

360/y Â = 360/(y +5) + 1

y =Â 40, -45**âˆš2116x – âˆš8464= 0,Â (625)**^{1/4}y – (1000)^{1/3}=0

A. X > Y

B. X < Y

C. X â‰¥ Y

D. X â‰¤ Y

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

Explanation:

âˆš2116x – âˆš8464 = 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 â‰¥ Y

D. X â‰¤ 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 â‰¥ Y

D. X â‰¤ 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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