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 IBPS,SBI exam and other competitive exams. We have included Some questions that are repeatedly asked in bank exams !!!

**I. (X)**^{2 }= 1024 , II.Â Y = 1024^{1/2}

1)If X>Y

2)If X<Y

3)If Xâ‰¥ Y

4)If Xâ‰¤ Y

5)If X=Y or cannot be established**Answer -1)4)If Xâ‰¤ Y**

Explanation :

X = +32, – 32

Y = 32**I. X**^{2 }– X â€“ 30 = 0 , II.Â Y^{2 }+ Y â€“ 20 = 0

1)If X>Y

2)If X<Y

3)If Xâ‰¥ Y

4)If Xâ‰¤ Y

5)If X=Y or cannot be established**Answer -5)If X=Y or cannot be established**

Explanation :

X^{2 }Â – X â€“ 30 = 0

(x-6)(x+5) = 0

X = 6,-5

Y^{2 }Â + Y â€“ 20 = 0

(y+5)(y-4) = 0

Y = -5,4

Xâ‰¥Y**X**^{2 }= 64 , II. Y^{2}â€“ Y -72 =X

1)If X>Y

2)If X<Y

3)If Xâ‰¥ Y

4)If Xâ‰¤ Y

5)If X=Y or cannot be established**Answer -5)If X=Y or cannot be established**

Explanation :

X = Â± 8

(y-9)(y+8) = 0

Y = 9,-8

Xâ‰¤ Y**I. 5x**^{2}-22y+21 = 0 , II. 2y^{2}-13x + 21 = 0

1)If X>Y

2)If X<Y

3)If Xâ‰¥ Y

4)If Xâ‰¤ Y

5)If X=Y or cannot be established**Answer -4)If X â‰¤Â Y**

Explanation :

(x-3)(5x-7) = 0

X = 3,7/5

(y-3)(2x-7) = 0

Y = 3,7/2

X â‰¤ Y**I.2x**^{2}â€“ 19y + 44 = 0, II.3y^{2}â€“ 22y + 40 = 0

1)If X>Y

2)If X<Y

3)If Xâ‰¥ Y

4)If Xâ‰¤ Y

5)If X=Y or cannot be established**Answer – 3)If Xâ‰¥ Y**

Explanation :

(2x-11)(x-4) = 0

X = 4, 11/2

(3y â€“ 10)(y â€“ 4) = 0

Y = 4, 10/3

Xâ‰¥Y**I. x**^{2}â€“ 22y + 105 = 0 , II. y^{2}=1444

1)If X>Y

2)If X<Y

3)If Xâ‰¥ Y

4)If Xâ‰¤ Y

5)If X=Y or cannot be established**Answer -5)If X=Y or cannot be established**

Explanation :

(x â€“ 7)(x â€“ 15) = 0

X = 7, 15.

Y = Â±38**I .4A**^{2}+19A+21 = 0, II . 2B^{2}+ 23B + 63 = 0

1)If X>Y

2)If X<Y

3)If Xâ‰¥ Y

4)If Xâ‰¤ Y

5)If X=Y or cannot be established**Answer -1)If X>Y**

Explanation :

(A+3)(4A+7) = 0

A = -3, -7/4

(B+7)(2B+9)= 0

B= -7, -9/2**I. X**^{3}= 205379 , II . Y^{2}= 205.379

1)If X>Y

2)If X<Y

3)If Xâ‰¥ Y

4)If Xâ‰¤ Y

5)If X=Y or cannot be established**Answer –Â 5)If X=Y or cannot be established**

Explanation :

X = 59

Y = Â±14.33

X>Y**I .X**^{2}-16X- 36 = 0 , II . Y+20X+36 = 0

1)If X>Y

2)If X<Y

3)If Xâ‰¥ Y

4)If Xâ‰¤ Y

5)If X=Y or cannot be established**Answer -3)If Xâ‰¥ Y**

Explanation :

(X-18)(X+2) = 0

X = 18, -2

(Y+18)(Y+2) =0

Y = -18,-2

Xâ‰¥Y**I . A**^{2}+A-30, Â II .B^{2}-B-30

1)If X>Y

2)If X<Y

3)If Xâ‰¥ Y

4)If Xâ‰¤ Y

5)If X=Y or cannot be established**Answer –Â 5)If X=Y or cannot be established**

Explanation :

(A+6)(A-5)= 0

A= -6,5

(B+5)(B-6)= 0

B= – 5,6

A<B

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