# Set-29 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(i) and (ii) are given. You have to solve them and find the correct option.

1.
a) x3 – 39304 = 0
b) y2 – 1296=0

2.
a) 624-342-120+88x =784+248+516+22
b) (21y-504)(18y-576)=0

3.
a) 26x^2-64x+24=0
b) 2y^2-28y+96=0

4.
a) 16y + 10x=48
b) 8y+7x=32

5.
a) 2x^2+11x+9=0
b)2y^2-7y+6=0

Direction (6-10): In the following questions, two equations I and II are given. You have to solve both the equations.

6.
I. p2 – 18p + 72= 0
II. 5q2 – 18q + 9 = 0

7.
I. p2 = 4
II. 3q2 – 4q – 4 = 0

8.
I. 6p2 – 5p – 6 = 0
II. 2q2 – 13q + 20 = 0

9.
I. 2p2 – 5p = 0
II. 3q2 – 7q – 6 = 0

10.
I. 2p2 + 5p + 2= 0
II. 2q2 + 19q + 45 = 0

Directions:1-10) In each of the following questions, two equations(i) and (ii) are given. You have to solve them and find the correct option.

##### 1. Question

a) x3 – 39304 = 0
b) y2 – 1296=0

Ans: 5
a) x3 – 39304 = 0
x= 39304
x=34

b) 2y2 – 5184=0
y2 =1296
y=±36
Thus, the relationship cannot be determined.

##### 2. Question

a) 624-342-120+88x =784+248+516+22
b) (21y-504)(18y-576)=0

Ans: 2
a) 624-342-120+88x =784+248+516+22
624+88x= 2032
88x=1408
x=16

b) (21y-504)(18y-576)=0
21y- 504=0, 18y-576=0
21y=504, 18y=576
y=24 and 32
Thus x<y

##### 3. Question

a) 26x^2-64x+24=0
b) 2y^2-28y+96=0

Ans: 2
a) 26x^2-64x+24=0
13x^2-32x+12=0
(X-2)(13x-6)=0
x=2 and 6/13

b) 2^2-28y+96=0
y^2-14y+48=0
(y-6)(y-8)=0
y=6 and 8
Thus x<y

##### 4. 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

##### 5. Question

a) 2x^2+11x+9=0
b)2y^2-7y+6=0

Ans: 2
a) 2x^2+11x+9=0
2x(x+1) +9(x+1) =0
(x+1)(2x+9)=0
x=-4.5 and -1

b) 2y^2-7y+6=0
2y^2-4y-3y+6=0
2y(y-2)-3(y-2) =0
y=1.5 and 2
Thus x<y

Direction (6-10): In the following questions, two equations I and II are given. You have to solve both the equations.

##### 6. Question

I. p2 – 18p + 72= 0
II. 5q2 – 18q + 9 = 0

Ans: 1
p2 – 18p + 72= 0
(p-12)(p-6) = 0
Gives p = 6, 12
5q2 – 18q + 9 = 0
5q2 – 15q – 3q + 9 = 0
5q (q-3) – 3(q-3) =0
(5q-3) (q-3) =0
Gives q = 3/5, 3
Put on number line
3/5   3    6  12
P > q

##### 7. Question

I. p2 = 4
II. 3q2 – 4q – 4 = 0

Ans: 5
p2 = 4
Gives p = 2 , -2
3q2 – 4q – 4 = 0
3q2 – 6q + 2q – 4 = 0
Gives q = -2/3, 2
Put on number line
-2      -2/3        2
So no relation

##### 8. Question

I. 6p2 – 5p – 6 = 0
II. 2q2 – 13q + 20 = 0

Ans: 2
6p2 – 5p – 6 = 0
6p2 – 9p + 4p – 6 = 0
Gives p = -2/3, 3/2
2q2 – 13q + 20 = 0
2q2 – 8q – 5q +20 = 0
Gives q = 4, 5/2
Put on number line
-2/3   3/2    5/2    4
P < q

##### 9. Question

I. 2p2 – 5p = 0
II. 3q2 – 7q – 6 = 0

Ans: 5
2p2 – 5p = 0
p(2p-5) = 0
Gives p = 0, 5/2
3q2 – 7q – 6 = 0
3q2 – 9q + 2q – 6 = 0
Gives q = -2/3, 3
Put on number line
-2/3    0   5/2         3
There is no relation

##### 10. Question

I. 2p2 + 5p + 2= 0
II. 2q2 + 19q + 45 = 0

Ans: 1
2p2 + 5p + 2= 0
2p2 + 4p + p + 2= 0
Gives p = -1/2, -2
2q2 + 19q + 45 = 0
2q2 + 10q + 9q + 45 = 0
Gives q= -10/2, -9/2
Put on number line
-10/2     -9/2    -2     -1/2
P > q 