# Set-8 Quadratic Equations (Inequalities) For SBI PO and SBI Clerk 2019 | Must Go Through These Questions Dear Aspirants,
We are providing the most important Quadratic Equations (Inequalities) for SBI PO 2019, SBI Clerk 2019 and all other competitive bank and insurance exams. These questions have very high chances to be asked in SBI PO 2019, SBI Clerk 2019.

Directions:1-10) In each of the following questions, two equations (a) and (b) are given. Solve them and find the correct option.

1.

I. x4= 28561

II. [(y5/2)/√13] = [(2*4) +√25]2

2.

I. 3x-2y=12

II. 7x-6y=18

3.

I. 8x2-34x=- 8

II. 23y2-368=0

4.

I. x2+12x+36=0

II. y2+7y+6=0

5.

I. √360 x + (200)1/2=0

II. √500 y + √402=0

6.

a)x3 – 39304 = 0

b)y2 – 1296=0

7.

a)624-342-120+88x=784+248+516+22

b)(21y-504)(18y-576)=0

8.

a)26x2-64x+24=0

b)2y2-28y+96=0

9.

a)16y + 10x=48

b)8y+7x=32

10.

a)2x2+11x+9=0

b)2y2-7y+6=0

• Directions:1-10) In each of the following questions, two equations (a) and (b) are given. Solve them and find the correct option.

##### 1. Question

I. x4= 28561

II. [(y5/2)/√13] = [(2*4) +√25]2

Ans:3
I. x4= 28561

x= 13 and -13

II. [(y5/2)/√13] = [(2*4)+√25]2

[(y5/2)/√13]= [8+5]2

y5/2= 131/2(13)2

y=13

Hence x ≤ y

• ##### 2. Question

I. 3x-2y=12

II. 7x-6y=18

Ans:1
3x-2y=12………… (1)

7x-6y=18………… (2)

Multiply (1) by 3 then we get,

9x-6y=36 ……………. (3)

After solving (2) and (3), we get, x=9 and y=7.5

Hence, x>y

• ##### 3. Question

I. 8x2-34x=- 8

II. 23y2-368=0

Ans:5
I. 8x2-34x=-8

8x2-34x+8=0

8x2-32x-2x+8=0

8x(x-4)-2(x-4) =0

x=4 and ¼

II. 23y2-368=0

23y2=368

y2=16

y=4 and -4

Hence, the relationship cannot be determined

• ##### 4. Question

I. x2+12x+36=0

II. y2+7y+6=0

Ans:3
I. x2+12x+36=0

x2+6x+6x+36=0

x(x+6)+6(x+6)=0

x=-6 and -6

II. y2+7y+6=0

y2 +y+6y+6=0

y(y+1)+6(y+1)=0

y=-1 and -6

Hence, x≤y

• ##### 5. Question

I. √360 x + (200)1/2=0

II. √500 y + √402=0

Ans:1
I. √360 x + (200)1/2=0

√360 x=-√200

x=-0.74

II. √500 y + √402=0

√500 y= -√402

y=-√402/√500

y=-0.89

Hence, x>y

• ##### 6. Question

a)x3 – 39304 = 0

b)y2 – 1296=0

Ans:5
x3 – 39304 = 0

x= 39304

x=34

2y2 – 5184=0

y2 =1296

y=±36

Thus, the relationship cannot be determined.

• ##### 7. Question

a)624-342-120+88x=784+248+516+22

b)(21y-504)(18y-576)=0

Ans:2
624-342-120+88x =784+248+516+22

624+88x= 2032

88x=1408

x=16

(21y-504)(18y-576)=0

21y- 504=0, 18y-576=0

21y=504, 18y=576

y=24 and 32

Thus x<y

• ##### 8. Question

a)26x2-64x+24=0

b)2y2-28y+96=0

Ans:2
26x2-64x+24=0

13x2-32x+12=0

(X-2)(13x-6)=0

x=2 and 6/13

b) 22-28y+96=0

y2-14y+48=0

(y-6)(y-8)=0

y=6 and 8

Thus x<y

• ##### 9. Question

a)16y + 10x=48

b)8y+7x=32

Ans:1
10x+16y=48……(1)

7x+8y=32………(2)

Multiplying (2) by 2 and solving equations, we get

x=4   and    y=0.5

Thus x>y

• ##### 10. Question

a)2x2+11x+9=0

b)2y2-7y+6=0

Ans:2
2x2+11x+9=0

2x(x+1) +9(x+1) =0

(x+1)(2x+9)=0

x=-4.5 and -1

2y2-7y+6=0

2y2-4y-3y+6=0

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

y=1.5 and 2

Thus x<y 