Quadratic Equation Questions Quiz with PDF for IBPS Clerk 2019, SBI Clerk 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.
» Explain it
D
I. x2 + (343)1/3 = 56

x2 + 7 = 56

x2 = 49

∴  x = √49 = ±7
 
II. (y)4/3 × (y)5/3 – 295 = 217

(y)3 = 217 + 295

(y)3 = 512 = (8)3

or, y = 8

Here, x < y

Hence, option D is correct.
» Explain it
D
  5x + 4y = 8           .......(i) × 3

  3x + 2y = 4          .......(ii) × 5

 
15x + 12y = 24      .......(iii) 
15x + 10y = 20        .......(iv)
–       –      –    
           2y = 4  
             y = 2

Putting the value of y in (i), we get 

5x + 8 = 8

5x = 0

∴ x = 0

Here, x < y

Hence, option D is correct.
» Explain it
E
I. x2 + 8 = 6x

x2 – 6x + 8 = 0

x2 – 4x – 2x + 8 = 0

x(x – 4) – 2(x – 4) = 0

(x – 2) (x – 4) = 0

∴ x = 2, 4
 
II. y2 – 8y + 15 = 0

y2 – 5y – 3y + 15 = 0

y (y – 5) – 3 (y – 5) = 0

(y – 3) (y – 5 ) = 0

y = 3, 5
 
Here, while comparing the root values of x and y, we find that one root value of y lies between the value of x. Therefore, no relationship between x and y can be established

Hence, option E is correct.
» Explain it
E
I. 49 + x + 15 = 169

7 + x + 15 = 13

(x + 15)2 = (6)2

x + 15 = 36

∴ x = 36 – 15 = 21

II. y2 – 212 = 364

y2 = 364 + 212

y2 = 576

y = ± 24

Here, relationship between x and y cannot be established

Hence, option E is correct.
» Explain it
D
I. x2 –  (10)5/2  = 0
√x

x2+1/2 – (10)5/2 = 0

(x)5/2 = (10)5/2

x = 10

II. 
18
 – √y = 
7
√y √y

18 – y = 7

y = 11

Here, x < y

Hence, option D is correct.

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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 clerk pre 2019 Pre Exam, So Quadratic Equation have a lot of chance to appear in IBPS clerk pre 2019.
 
First of all we discuss different kind of Quadratic Equation for IBPS clerk pre 2019 like New pattern based Quadratic Equation Question and Answer that are now being asked in the exams are high level and it can be based on root based quadratic equation and general Quadratic Equation, find out the root values and then compare them and last but not the least Shri Dharcharya Rule based Quadratic Equation, Quadratic Equation is one of the most favorite topics of IBPS clerk pre 2019 Pre 2019. Questions on Quadratic Equations are asked in Quantitative Aptitude section. Generally, two quadratic equations in two different variables are given.
 
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 clerk pre 2019wer 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 IBPS clerk pre 2019 Pre.
 
Type 1: This is basic of quadratic equation for bank exams like IBPS clerk Pre, IBPS RRB Clerk 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 clerk pre exams like, IBPS Clerk Pre 2019, SBI Clerk pre  and NIACL Assistant Pre
 
Click here for Quiz


Type 2: Root based Quadratic Equation, these type of quadratic equation is being asked in IBPS clerk pre 2019, SBI clerk pre 2019 Pre exams
 
I. x2 – 3√3x – 54 = 0               II. y2 – 7√2y – 36 = 0
 
Here is the link to Download PDF for Practice New Pattern Based Quadratic Equation for IBPS clerk pre 2019
 
Click Here for IBPS clerk pre 2019 pdf Quiz


Type 3: High level Quadratic Equation for IBPS clerk pre 2019, this kind of Quadratic has been shown in many bank clerk pre 2019 exams
 
I. 20x2 – 108x + 144 = 0

II. 8y2 + 18y + 4 = 0
 
Here is link for ibps clerk pre 2019 mock test

Free Mock Test of IBPS Clerk Pre 2019

I hope these Quadratic equations will help you in upcoming IBPS clerk pre 2019 exams, if you want to practice a Mock Test for IBPS clerk pre 2019 Based on SBI clerk pre 2019   link is below:
 
Testzone Provides Best test series for IBPS clerk pre 2019 and other Bank clerk pre 2019 Exams, you will practice here all different kind of difficult level mock test with brilliant analytics. You will get 1 test of Previous year paper and other test of Parallel exam’s memory based test rest are with Difficult, Moderate and Easy Pattern based Test for all Bank and SSC Exams it Covers IBPS clerk pre 2019, SBI clerk pre 2020, RBI Grade B, SSC CGL, SSC 10 plus 2, LIC, NIACL Assistant and NIACL Mains.