Formulas & Short Tricks on Algebra

Formulas & Short Tricks on Algebra

Numerical ability section is considered to be one of the toughest subjects of Competition Exams but it can be the most scoring area if prepared well. Scoring in this section can be easy or tough depending on the complexity of the questions and your understanding of the questions.

From the past 2 years, Advanced Maths has become the most favorite area of SSC CGL Exam which include questions on Algebra, Trigonometry, Mensuration and Geometry. You can expect around 27-30 questions from Advanced Maths in SSC Exams.

It is one of the biggest myth about SSC CGL Exam that you cannot master these Advanced Maths topics. Today we will be covering a very important topic from the Advance Maths part of the Quantitative Aptitude section that is – Basic Formulas & Short Tricks on Algebra.

Important Formulae

image001

image002

image003

image004

image005

image006

image007

image008

image009

image010 If image011 then image012

Types of Questions Asked in SSC Exams

Type 1.   If image013, find the value of  image014

Ans.image016

Squaring both side

image017

Squaring both sides again,

image018 image019

image020

Type 2: If  find the value ofimage021find the value of  image022

Ans.image023

image024

image025

Squaring both sides again

image026

image027

Type 3: Find the value ofimage035if  image036

Ans. image037

image038 = 9 – 8  = 1

image039

Type 4:  Ifimage040 then find the value ofimage041

Ans:

image042

Cubing both sides,

image043 image045

image046

 

Type 5: Ifimage047image048 then find the value of image049

Ans. image047

Squaring both sides,

image051

Putting the value of image052

image053

Type 6 If image059, find the value ofimage060

Ans:

image061 image062

(Dividing by x y z)

image063 image064…. (Formula)

Type 7 If image070 then the value of image071

Ans:image072formula

We do not know the value of xy + yz + zx. First find it.

image073formula

image074

Important Questions on Algebra with Short Trick

(1)If image024
then the value of 
 image025

 

(a)4

(b)52

(c)   64

(d)  76

Ans. (b)

image026

Cubing both sides,

image027

image028

 

(2) If image029 then the value of image030

 

(a) 1

(b)2

(c)image031

(d)image032

Ans. (b)

image033   if difference of square of terms  of X is 1 then 1/x is always same but the sign between the terms of X change as happen in this question

(3) If image034 then the value of  image035 is

(a)2

(b) 4

(c)   8

(d)  16

Ans.(a)

image036

image037

Similarly,

image038

 

(4) If image039 then the value of

(a)122

(b)118

(c)123

(d)120

Ans. (c)

image041

(5)Ifimage042 thenimage043 is equal to:

(a)0

(b)1

(c)   2

(d)  3

Ans. (a)

image044  always remeber if x+ 1/x=√3 then X6+1=0 holds true

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