 # Important Quadratic Questions PDF for SBI PO Pre 2020, RRB Scale 1 Pre at Smartkeeda  Directions: In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
Important for :
1
I. 2x2 + 31x + 119 = 0

II. 2y2 + 37y + 171 = 0
» Explain it
A
I. 2x2 + 31x + 119 = 0

2x2 + 14x + 17x + 119 = 0

2x(x + 7) + 17(x + 7) = 0

(2x + 17)(x + 7) = 0

 x = – 17 , –7 2

II. 2y2 + 37y + 171 = 0

2y2 + 18y + 19y + 171 = 0

2y(y + 9) + 19(y + 9) = 0

(2y + 19)(y + 9) = 0

 y = – 19 , – 9 2

 For x = – 17 , and y = – 19 , x > y 2 2

 For x = – 17 , and y = – 9 x > y 2

 For x = –7, and y = – 19 , – 9   x > y 2

Therefore, x > y

Hence, option A is correct.
2
I. 49x2 – 42x – 16 = 0

II. 7y2 + 37y + 10 = 0
» Explain it
C
I. 49x2 – 42x – 16 = 0

49x2 + 14x – 56x – 16 = 0

7x(7x + 2) – 8(7x + 2) = 0

(7x – 8)(7x + 2) = 0

 x = 8 , – 2 7 7

II. 7y2 + 37y + 10 = 0

7y2 + 35y + 2y + 10 = 0

7y(y + 5) + 2(y + 5) = 0

(7y + 2)(y + 5) = 0

 y = – 2 , – 5 7

 For x = 8 , and y = – 2 , – 5     x > y 7 7

 For x = – 2 , and y = – 2 , x = y 7 7

 For x = – 2 and y = – 5    x > y 7

Therefore, x ≥ y

Hence, option C is correct.
3
I. x2 + 7x + 12 = 0

II. y2 – 2y – 15 = 0
» Explain it
B
I. x2 + 7x + 12 = 0

x2 + 4x + 3x + 12 = 0

x(x + 4) +  3(x + 4) = 0

(x + 4)(x + 3) = 0

x = – 4, – 3

II. y2 – 2y – 15 = 0

y2 – 5y + 3y – 15 = 0

y(y – 5) +  3(y – 5) = 0

(y – 5)(y + 3) = 0

y = 5, – 3

For x = – 4 and y = 5 or – 3 x < y

For x = –3, y = – 3, x = y

For x = – 3, y = 5, x < y

Therefore, x ≤ y

Hence, option B is correct.
4
I. x2 – 20x + 91 = 0

II. 2y2 – 55y + 378 = 0
» Explain it
D
I. x2 – 20x + 91 = 0

x2 – 7x – 13x + 91 = 0

x(x – 7) – 13(x – 7) = 0

(x – 7)(x – 13) = 0

x = 7, 13

II. 2y2 – 55y + 378 = 0

2y2 – 27y – 28y + 378 = 0

y(2y – 27) –  14(2y – 27) = 0

(y – 14)(2y – 27) = 0

 y = 14, 27 = 13.5 2

For x = 7 or 13, and y = 14

x < y

For x = 7 or 13 and y = 13.5

x < y

Therefore, x < y

Hence, option D is correct.
5
I. x2 + 14x + 45 = 0

II. y2 + 16y + 63 = 0
» Explain it
E
I. x2 + 14x + 45 = 0

x2 + 9x + 5x + 45 = 0

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

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

x = – 5, – 9

II. y2 + 16y + 63 = 0

y2 + 7y + 9y + 63 = 0

y(y + 7) +  9(y + 7) = 0

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

y = – 7, – 9

For x = – 5, and y = – 7 OR – 9 x > y

For x = – 9, and y = – 9, x = y

For x = – 9 and y = – 7, x < y

Therefore, relationship cannot be established

Hence, option E is correct.

## Quadratic Equation Questions for SBI PO Pre, LIC AAO 2020

Are you looking for any of these?

quadratic equation for sbi po pre pdf

quadratic equation for sbi po pre 2020

quadratic equation for sbi po pre 2020 pdf

quadratic equation questions for sbi po pre 2020

sbi po pre quadratic equation questions

quadratic equations for sbi po pre 2020

new pattern quadratic equation for sbi po pre 2020

how to solve quadratic equation for sbi po pre 2020

lic aao 2020 quadratic equation shortcuts

quadratic equation problems with solution for bank po 2020

Folks, here is a another quiz of Quadratic Equation, so we are going to discuss different kind of Quadratic Equation questions which are frequently asked in SBI PO Pre Exam, So Quadratic Equation have a lot of chance to appear in SBI PO Pre 2020.

We have to solve both of the Quadratic equations to get to know the relation between both the variables.

Suppose we have two variables ‘x’ and ‘y’. The relationship between the variables can be any one of the following:

x > y
x < y
x = y or relation can’t be established between x & y
x ≥ y
x ≤ y

Meaning of different symbols, Before getting deep into the quadratic equations, lets try to understand the meaning of the basic operations used in finding the relationship between the variables –

(1) ‘>’ symbol: This symbol indicates that variable on the left side is definitely greater than the variable on the right side of the symbol.

For example:  x > y means x is definitely greater than y.
(2) ‘<’ symbol: This symbol indicates that variable on the left is definitely smaller than the variable on the right side of the symbol.
For example: x<y means x is definitely smaller than y.

(3) ‘=’ symbol: This symbol indicates that variable on the left side is equal to the variable on the right side of the symbol.
For example: x = y means x is definitely equal to y.

(4) ‘≥’ symbol: This symbol indicates that variable on the left side is either greater than or equal to the variable on the right side of the symbol.
For example:  x ≥ y means x is either greater than y or equal to y.
(5) ‘≤’ symbol: This symbol indicates that variable on the left side is either smaller than or equal to the variable on the right side of the symbol.

For example: x≤y means x is either smaller than y or equal to y.

General form of a Quadratic Equation
ax2 + bx + c = 0

Quadratic equation means that it will definitely have the maximum power of the variable as ‘2’ which means we will always see ax2 term in a quadratic equation.

Or we can say that b can be 0, c can be 0 but a will never be 0.

While solving quadratic equation, you will always get 2 values of the equation. These 2 values are called roots of the equation. The roots of the equation always satisfy the equation. So in case of doubt, we can check the solution by putting the values back into the equation. If the equation turns out to be zero then our roots are correct.

Here are different kind of example of Quadratic Equation , so that we will get a very clear concept of the basic formation of a quadratic equation to get prepared for SBI PO Pre 2020.

Type 1: This is basic of quadratic equation for bank exams like SBI PO Pre, IBPS PO Pre as shown below

I. x3 – 4913 = 0                       II. y2 – 361 = 0

Here is the link to practice a proper quiz for quadratic equation for bank po pre exams like, SBI PO pre 2020, IBPS PO pre  and LIC AAO.

Type 2: Root based Quadratic Equation, these type of quadratic equation is being asked in SBI PO Pre, IBPS PO Pre exams

I. x2 – 3√3x – 54 = 0               II. y2 – 7√2y – 36 = 0

Here is the link to Practice New Pattern Based Quadratic Equation for SBI PO PRE 2020

Type 3: High level Quadratic Equation for SBI PO PRE 2020, this kind of Quadratic has been shown in many bank po exams

I. 20x2 – 108x + 144 = 0

II. 8y2 + 18y + 4 = 0