Quadratic Equation for SBI PO Questions

Quadratic Equation for SBI PO: The questions from the quadratic equation are more or less tricky and difficult in nature. But by practicing the right set of questions they are as easy as any other quant topic. We today have six questions, 3 each of prelims and mains with answer key.

Quadratic Equation for SBI PO Prelims Questions

1.) In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

I. (x + 4)2 = 23x – 20

II. (y – 3)2 = 3 – y

a.) x > y

b.) x < y

c.) x = y or the relationship cannot be established

d.) x ≥ y

e.) x ≤ y

Answer: d)

Solution:

From I:

(x + 4)2 = 23x – 20

x2 + 8x + 16 = 23x – 20

x2 – 15x + 36 = 0

x2 – 3x – 12x + 36 = 0

x(x – 3) – 12(x – 3) = 0

(x – 3)(x – 12) = 0

x = 12, 3

From II:

(y – 3)2 = 3 – y

y2 – 6y + 9 = 3 – y

y2 – 5y + 6 = 0

y2 – 2y – 3y + 6 = 0

y(y – 2) – 3(y – 2) = 0

(y – 2)(y – 3) = 0

y = 2, 3

XRelationy
12>2
12>3
3>2
3=3

So, x ≥ y

Hence, option d.

2.) In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

I. x2 = 324

II. y2 + 18y = 0

a.) x > y

b.) x < y

c.) x = y or the relationship cannot be established

d.) x ≥ y

e.) x ≤ y

Answer: c)

Solution:

From I:

x2 = 324

x = -18, 18

From II:

y2 + 18y = 0

y(y + 18) = 0

y = 0, -18

XRelationy
-18<0
-18=-18
18>0
18>-18

So, the relationship cannot be established.

Hence, option c.

3.) In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

I. x3 = -729

II. y2 + 15y + 54 = 0

a.) x > y

b.) x < y

c.) x = y or the relationship cannot be established

d.) x ≥ y

e.) x ≤ y

Answer: e)

Solution:

From I:

x3 = -729

x = -9

From II:

y2 + 15y + 54 = 0

y2 + 6y + 9y + 54 = 0

y(y + 6) + 9(y + 6) = 0

(y + 9)(y + 6) = 0

y = -9, -6

XRelationy
-9=-9
-9<-6

So, x ≤ y

Hence, option e.

Quadratic Equation for SBI PO Mains Questions

1.) In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

I. x + 19√x + 90 = 0

II. y + 23√y + 130 = 0

a.) x > y

b.) x < y

c.) x = y or the relationship cannot be established

d.) x ≥ y

e.) x ≤ y

Answer: e)

Solution:

From I:

x + 19√x + 90 = 0

x + 9√x + 10√x + 90 = 0

√x(√x + 9) + 10(√x + 9) = 0

(√x + 10)(√x + 9) = 0

√x = -10, -9

x = 100, 81

From II:

y + 23√y + 130 = 0

y + 10√y + 13√y + 130 = 0

√y(√y + 10) + 13(√y + 10) = 0

(√y + 10)(√y + 13) = 0

√y = -10, -13

y = 100, 169

xRelationy
100=100
100<169
81<100
81<169

So, x ≤ y

Hence, option e.

2.) In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

I. x2 + (9√3)x + 60 = 0

II. y2 + (6 + 4√3)y + 24√3 = 0

a.) x > y

b.) x < y

c.) x = y or the relationship cannot be established

d.) x ≥ y

e.) x ≤ y

Answer: e)

Solution:

From I:

x2 + (9√3)x + 60 = 0

x2 + (5√3)x + (4√3)x + 60 = 0

x(x + 5√3) + 4√3(x + 5√3) = 0

(x + 5√3)(x + 4√3) = 0

x = -5√3, -4√3

From II:

y2 + (6 + 4√3)y + 24√3 = 0

y2 + 6y + (4√3)y + 24√3 = 0

y(y + 6) + 4√3(y + 6) = 0

(y + 4√3)(y + 6) = 0

y = -4√3, -6

xRelationy
-5√3<-4√3
-5√3<-6
-4√3=-4√3
-4√3<-6

So, x ≤ y.

Hence, option e.

3.) In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

I. 81x2+ 144x + 55 = 0

II. 81y2+ 180y + 91 = 0

a.) x > y

b.) x < y

c.) x = y or the relationship cannot be established

d.) x ≥ y

e.) x ≤ y

Answer: c)

Solution:

From I:

81x2+ 144x + 55 = 0

81x2+ 99x + 45x + 55 = 0

9x(9x + 11) + 5(9x + 11) = 0

(9x + 5)(9x + 11) = 0

x = -5/9, -11/9

From II:

81y2+ 180y + 91 = 0

81y2+ 117y + 63y + 91 = 0

9y(9y + 13) + 7(9y + 13) = 0

(9y + 7)(9y + 13) = 0

y = -7/9, -13/9

xRelationy
-5/9>-7/9
-5/9>-13/9
-11/9<-7/9
-11/9>-13/9

So, the relationship cannot be established

Hence, option c.

Find daily exam updates posted on our official Instagram handle as well.   

You might want to subscribe to our push notifications for such daily valuable articles.            

Still, have some doubts about what we discussed in this blog? Then, leave your queries in the comment section below. We will surely respond to them. 

Vishwas Agarwal

Recent Posts

NICL Assistant Admit Card 2024 Out, Click To Download

NICL has released the NICL Assistant Admit Card 2024. In this blog, we have provided…

16 hours ago

Union Bank LBO Salary 2024, Check In Hand Salary, Job Profile, Perks and Allowances

Discover every component of Union Bank LBO Salary 2024! Check In Hand Salary, Job Profile,…

17 hours ago

RRB ALP Admit Card 2024 Out, Direct Download Link

RRB has released the RRB ALP Admit Card 2024 on its official website. In this…

17 hours ago

IBPS PO Prelims Result 2024 Out, Check Prelims Result Link

The IBPS PO Prelims Result 2024 has been released on their official website. Candidates can…

18 hours ago

IDBI Junior Assistant Manager Selection Process 2024, All Details

Detailed IDBI Junior Assistant Manager Selection Process 2024 is provided in this blog. Check all…

20 hours ago

RRB JE Exam Date 2024 Out, Check CBT 1 Exam Schedule

RRB has released the RRB JE Exam Date 2024 to conduct the CBT 1 Exam…

21 hours ago