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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
If 
then 
Types of Questions Asked in SSC Exams
Type 1. If 
, find the value of 
Ans.
Squaring both side
Squaring both sides again,
Type 2: If find the value of
find the value of 
Ans.
Squaring both sides again
Type 3: Find the value of
if 
Ans. 
= 9 – 8 = 1
Type 4: If
then find the value of
Ans:
Cubing both sides,
Type 5: If
then find the value of 
Ans.
Squaring both sides,
Putting the value of 
Type 6 If 
, find the value of
Ans:
(Dividing by x y z)
…. (Formula)
Type 7 If 
then the value of 
Ans:
formula
We do not know the value of xy + yz + zx. First find it.
formula
Important Questions on Algebra with Short Trick
(1)If 
then the value of 
(a)4
(b)52
(c) 64
(d) 76
Ans. (b)
Cubing both sides,
(2) If 
then the value of 
(a) 1
(b)2
(c)
(d)
Ans. (b)
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 
then the value of 
is
(a)2
(b) 4
(c) 8
(d) 16
Ans.(a)
Similarly,
(4) If 
then the value of
(a)122
(b)118
(c)123
(d)120
Ans. (c)
(5)If
then
is equal to:
(a)0
(b)1
(c) 2
(d) 3
Ans. (a)
always remeber if x+ 1/x=√3 then X6+1=0 holds true
