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 !!!

**You have to solve equation I and II ,Give answer**

**1)If X>Y**

**2)If X<Y**

**3)If Xâ‰¥ Y**

**4)If Xâ‰¤ Y**

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

**I. X**^{2 }Â – 5X – 84 = 0

**II. Y**^{2 }– 9Y – 52 = 0**5)If X=Y or cannot be established**

Explanation :

(X â€“ 12)(X+7) = 0

X = 12, -7

(Y -13)(Y+4) = 0

Y = -4,13

13,12,-4,-7**I. 4X**^{2 }Â + 17X + 15 = 0

**II. 12Y**^{2 }+ 19Y + 5 = 0**4)If Xâ‰¤ Y**

Explanation :

(X+3)(4X+5) = 0

X = -3, -5/4

(4X+5)(3X+1) = 0

X = -1/3,-5/4

-0.33,5/4,-5/4,-1/3**I. X**^{2 }Â – 35X + 306 = 0

**II. Y**^{2 }– 14Y – 51 = 0**3)If Xâ‰¥ Y**

Explanation :

(X â€“ 17)(X-18) = 0

X = 17,18

(Y-17)(Y+3)= 0

Y = 17,-3

18,17,17,-3**I. 2X**^{2 }Â – 9X + 9 = 0

**II. Y**^{2 }– 11Y + 24 = 0**4)If Xâ‰¤ Y**

Explanation :

(2X-3)(X-3) = 0

X= 3,3/2

(Y-8)(Y-3) = 0

Y = 8,3

8,3,3,3/2**I. X**^{2 }– 7X + 12 = 0

**II. Y**^{2}â€“ 8Y+16 = 0**4)If Xâ‰¤ Y**

Explanation :

(X-3)(X-4) = 0

X = 3,4

(Y-4)(Y-4) =0

Y = 4,4

4,4,4,3**I. 6X**^{2 }– 7X + 2 = 0

**II. 12Y**^{2}â€“ 7Y+1 = 0**1)If X>Y**

Explanation :

(2X-1)(3Y-2) = 0

X = Â½,2/3

(4Y-1)(3Y-1) = 0

Y = Â¼,1/3

0.6,0.5,0.3,0.2**I. X**^{2 }= 4

**II. Y**^{2}+ 4Y+4 = 0**3)If Xâ‰¥ Y**

Explanation :

X= +2, -2

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

Y = -2,-2

2,-2,-2,-2**I. 3X**^{2 }+17X + 10=0

**II. 10Y**^{2}+ 9Y+2 = 0**2)If X<Y**

Explanation :

(3X+2)(X+5) = 0

X = -2/3, -5

(2Y+1)(5Y+2) = 0

Y = -1/2,-2/5

-0.4,-0.5,-0.6,-5**I. X**^{2 }+X â€“ 56 = 0

**II.Y**^{2}â€“ 17Y+72 = 0**2)If X<Y**

Explanation :

(X+8)(X-7) = 0

X=7,-8

(Y-9)(Y-8) = 0

Y=9,8

9,8,7,-8**I. X**^{2 }-3X – 4 = 0

**II. 3Y**^{2}â€“ 10Y+8 = 0Â**5)If X=Y or cannot be established**

Explanation :

(X+1)(X-4) = 0

X = 4,-1

(3Y-4)(Y-2) = 0

Y = 2,4/3

4,2,1.3,-1

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