**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**

**Bank PO Level Questions** :-

**2x**^{2}+ 11x + 14=0, 4y^{2}+ 12y +9 =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:

2x^{2}+ 11x + 14=0

2x^{2}+ 7x + 4x + 14=0

x = -3.5, -2

4y^{2}+ 12y +9 =0

4y^{2}+ 6y + 6y +9 =0

y = -1.5, -1.5

Put on number line

-3.5 -2 -1.5 -1.5**x**^{2}=729, y=√729

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}=729

x = 27, -27

y = √729

y = 27

Put on number line

-27 27 27**x³=10648, y²=484**

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y

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

Explanation:

x³ =10648

x = 22

y²= 484

y = + 22, – 22

Put on number line

-22 22 22**4x + 2y =8.5, 2x + 4y = 9.5**

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y

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

Explanation:

4x + 2y =8.5 —-(I)

2x + 4y = 9.5 —(II)

By solving eqn (I and II)

x = 1.25, y=1.75

Put on number line

1.25 1.75**x**^{2}+ 17x + 72 = 0, y^{2}+ 15y + 56 = 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}+ 17x + 72 = 0

x^{2}+ 8x + 9x + 72 = 0

x = -8, -9

y^{2}+ 15y + 56 = 0

y^{2}+ 8y + 7y + 56 = 0

y = -7, -8

Put on number line

-9 -8 -8 -7**√1225x + √4900 = 0, (81)**^{1/4}y + (343)^{1/3}=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:

√1225x + √4900 = 0

35x + 70 = 0

x = -2

(81)^{1/4}y + (343)^{1/3}=0

3y + 7 = 0

y = -2.33

Put on number line

-2.33 -2**(x**^{7/5}/9) = (169/x^{3/5}), y^{1/4 }* y^{1/4 }* 7 = (273/y^{1/2})

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^{7/5}/9) = (169/x^{3/5)}

(x^{7/5})/(x^{3/5}) = 169*9

x^{7/5 + 3/5}= 1521

x^{2}= 1521

x = ± 39

y^{1/4 }* y^{1/4 }* 7 = (273/y^{1/2})

y^{1/4 }* y^{1/4 }* y^{1/2}= 273/7

y = 39

Put on number line

-39 39 39**4x**^{2}– 20x + 21 =0, 9y^{2}– 27y + 20 =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:

4x^{2}– 20x + 21 =0

4x^{2}– 6x – 14x + 21 =0

x = 1.5 3.5

9y^{2}– 27y + 20 =0

9y^{2}-15y – 12y + 20 =0

y = 1.33 1.66

Put on number line

1.33 1.5 1.66 3.5**4/√x + 7/√x =√x , y**^{2}– 11^{5/2}/√y = 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:

4/√x + 7/√x =√x

1/√x(4+7) = √x

11/√x = √x

x = 11

y^{2}– 11^{5/2}/√y = 0

y^{5/2}– 11^{5/2}

y = 11**x**^{2}+ 12x + 32 = 0, y^{2}+ 17y + 72 =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:

x^{2}+ 12x + 32 = 0

x^{2}+ 8x + 4x + 32 = 0

x = -4 , -8

y^{2}+ 17y + 72 =0

y^{2}+ 17x + 32 = 0

y^{2}+ 8x + 9x + 32 = 0

y = -8 , -9

Put on number line

-9 -8 -8 -4

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