Advanced Maths: Basic Formulas & Short Tricks on Algebra

By Ashwini Shivhare|Updated : September 24th, 2021

Numerical ability section is an interesting topic of Competitive Exams but it can be the most scoring area if prepared well. In this section, Questions are made tough by languages and options given in the answer. Scoring in this section can be easy or tough depending on the complexity of the questions and your understanding of the questions. You have to remember the formulas given below and try to apply these formulas in the questions asked in exams. 

Many of us believe that mastering Advance Mathematics is a difficult task for SSC aspirants but it not so. 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.

 Basic Formulas & Short Tricks on Algebra.

Important Formulae

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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:image072 formula

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

image073formula

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