# Set-5 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.
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Directions:1-5) Two equations (I) and (II) are given in each questions. On the basis of these questions, you have to decide the relation between p and q and give answer

1.

I.10p2 + 39p – 88 = 0

II.21q2 + 41q – 40 = 0

2.

I.14p2 – 43p + 20 = 0

II.33q2 + 72q + 12 = 0

3.

I.56p2 + 97p + 42 = 0

II.99q2 – 64q + 5 = 0

4.

I.16p2 – 40p + 25 = 0

II.25q2 – 40q + 16 = 0

5.

I.15p2 + 38p + 24 = 0

II.20q2 + 49q + 30 = 0

Directions:6-10) In the following questions two equations I and II are given. You have to solve both the equations and give answer:

6.

I) 6x²-12 x+6=0

II) 3y²-8y+5=0

7.

I) 5x²+50x+105=0

II) 9y²+30y+25=0

8.

I) 2x²-x-28=0

II) 3y²-14y-24=0

9.

I) 4x²+21x+27=0

II) 5y²-22y-15=0

10.

I) 2x²-13y+21=0

II) y²-32y+231=0

Check your Answers below:

• Directions:1-5) Two equations (I) and (II) are given in each questions. On the basis of these questions, you have to decide the relation between p and q and give answer

##### 1. Question

I.10p2 + 39p – 88 = 0

II.21q2 + 41q – 40 = 0

Ans:5
I.10p2 + 39p – 88 = 0

or, 10 p2– 16p + 55p – 88 = 0

or, 2p(5p – 8) + 11(5p – 8) = 0

or, (2p + 11) (5p – 8) = 0

p = -11/2 or 8/5

II.21 q+ 41q – 40 = 0

or, 21 q2+ 56q – 15q – 40 = 0

or, 7q(3q + 8) – 5(3q + 8) = 0

or, (7q – 5) (3q + 8) = 0

q = 5/7 or -8/3

We can’t get specific relationship between p and q.

• ##### 2. Question

I.14p2 – 43p + 20 = 0

II.33q2 + 72q + 12 = 0

Ans:1
I.14 p– 43p + 20 = 0

or, 14 p2– 35p – 8p + 20 = 0

or, 7p(2p – 5) – 4(2p – 5) = 0

or, (7p – 4) (2p – 5) = 0

p = 4/7 or 5/2

II.33 q2+ 72q + 12 = 0

or, 33 q2+ 6q + 66q + 12 = 0

or, 3q(11q + 2) + 6(11q + 2) = 0

or, (3q + 6) (11q + 2) = 0

q = -2 or -2/11

Hence  p > q.

• ##### 3. Question

I.56p2 + 97p + 42 = 0

II.99q2 – 64q + 5 = 0

Ans:2
I.56 p2+ 97p + 42 = 0

56 p2+ 49p + 48p + 42 = 0

or, 7p(8p + 7) + 6(8p + 7) = 0

or, (7p + 6) (8p + 7) = 0

p = -6/7 or -7/8

II.99 q2 – 64q + 5 = 0

or, 99 q2 – 9q – 55q + 5 = 0

or, 9q (11q – 1) – 5(11q – 1) = 0

or, (9q – 5) (11q – 1) = 0

q = 5/9 or 1/11

Hence p < q.

• ##### 4. Question

I.16p2 – 40p + 25 = 0

II.25q2 – 40q + 16 = 0

Ans:1
I.16 p2– 40p + 25 = 0

or, 16 p2 – 20p – 20p + 25 = 0

or, 4p(4p – 5) – 5(4p – 5) = 0

or, (4p – 5) (4p – 5) = 0

p = 5/4, 5/4

II.25 q2– 40q + 16 = 0

or, 25 q– 20q – 20q + 16 = 0

or, 5q(5q – 4) – 4(5q – 4) = 0

or, (5q – 4) (5q – 4) = 0

q = 4/5, 4/5

Hence p > q.

• ##### 5. Question

I.15p2 + 38p + 24 = 0

II.20q2 + 49q + 30 = 0

Ans:5
I.15 p2+ 38p + 24 = 0

or, 15 p2 + 20p + 18p + 24 = 0

or, 5p(3p + 4) + 6(3p + 4) = 0

or, (5p + 6) (3p + 4) = 0

p = -6/5 or -4/3

II.20 q2+ 49q + 30 = 0

or, 20 q2+ 24q + 25q + 30 = 0

or, 4q(5q + 6) + 5(5q + 6) = 0

or, (4q + 5) (5q + 6) = 0

q = -5/4 or -6/5

We can’t get specific relationship between p and q.

Directions:6-10) In the following questions two equations I and II are given. You have to solve both the equations and give answer:

##### 6. Question

I) 6x²-12 x+6=0

II) 3y²-8y+5=0

Ans:3
6x²-6x-6x+6=0

X=6/6,6/6 =1, 1

3y²-3y-5y+5=0

Y=5/3, 3/3 = 1.66, 1

x ≤ y

• ##### 7. Question

I) 5x²+50x+105=0

II) 9y²+30y+25=0

Ans:2
5x²+50x+105=0

5x²+15x+35x+105=0

X=-15/5,-35/5 = -3, -7

9y²+30y+25=0

9y²+15y+15y+25=0

Y=-15/9,-15/9 = -5/3, -5/3 = -1.66, -1.66

x < y

• ##### 8. Question

I) 2x²-x-28=0

II) 3y²-14y-24=0

Ans:5
2x²-8x+7x-28=0

X= 8/2, -7/2 = 4, -3.5

3y²-18y+4y-24=0

Y= 18/3, -4/3 = 6.66, -1.33

Cannot be determined

• ##### 9. Question

I) 4x²+21x+27=0

II) 5y²-22y-15=0

Ans:2
4x²+12x+9x+27=0

X=-12/4,-9/4 = -3, -2.25

5y²-25y+3y-15=0

Y=25/2, -3/5 = 12.5, -0.6

x < y

• ##### 10. Question

I) 2x²-13y+21=0

II) y²-32y+231=0

Ans:2
2x²-6x-7x+21=0

X=  6/2 ,7/2= 3, 3.5

y²-11y-21y+231=0

y=11, 21

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