Algebra is one of the core domains of the SSC CGL Aptitude section. There are innumerable basic algebraic identities, but with certain tricks, candidates can understand and memorize these formulas easily and apply them whenever needed. Algebraic formulas play a key role in solving various aptitude questions of the SSC CGL exam. On average, candidates can expect at least 4 algebra questions for the SSC CGL exam that requires the application of algebraic formulas. There are several approaches to solving algebraic questions. To get perfect answers, you must know which is the right approach.
Algebra Formulas for SSC CGL
There are innumerable algebraic formulas for SSC. It is not possible to memorize all formulas of algebraic expression. Here are some of the formulas that are mostly used to solve the questions of Algebra for SSC CGL :
Exponential Law Formulas
(ab)m = ambm
(am)(an) = am+n
(am)n = amn
(a + b)2 = a2+ 2ab + b2
(a – b)2 = a2 – 2ab + b2
a2 + b2 = (a-b)2 + 2ab
a2 - b2 = (a-b)(a+b)
(a-b)2 = a2 - 2ab + b2
(a+b+c)2 = a2 + b2 + 2ab +2ac + 2bc
(a-b-c)2 = a2 + b2 - 2ab -2ac - 2bc
(a+b+c)3 = a3 + b3 + c3 + 3(a+b)(b+c)(c+a)
a3 + b3 + c3 - 3abc =(a+b+c) (a2 + b2 + c2 -ab -bc-ca)
(a+b)3 = a3 + 3 a2b + 3ab2 + b3
Sample Algebra Questions for SSC CGL
The root of the equation ax2 + bx + c = 0 is 5 + 3√3. With the help of this information, find out the value of (a2+ b2 + c2)/(a + b + c)
If a+b+c =9, ab+bc+ca = 26, a3 + b3 = 91, c3 + a3 = 35, b3 + c3 = 72, then what is the value of abc?
If xy = -30, x2 + y2 = 61, then find the value of (x+y)
If x+y = 10 and x2 + y2 = 68, then find the value of xy
If a+b = 17 and a-b = 9, then find out the value of (4a2 + 4b2)
If 2x + 2/x = 1, then find the value of x3 + 1/ x3
If x2 +y2 -2x +6x +10 = 0, then what is the value of (x2 + y2)
If a2 = 2, then what is the value of (a+1)
If the value of a2 + b2 + 1/ a2 + 1/ b2 = 4, then what is the value of a2 + b2
If x3 + 3x2 + 3x =7, then what is the value of x?
Tricks to Solve Algebra Questions Easily
Pay more attention to the sides of the equations. While moving any digit from left to right or right to left, make sure that you do not miss out on the signs. Always keep in mind that the signs change when we move sides. If you want to prevent any mistakes, then it is better to put the constants on one side and variables on the other.
The same thing applies when multiplying and dividing either constants or variables. Make sure to change the numbers or the variables from numerator to denominator and vice versa when changing sides. This is one of the major areas where students make a mistake. Thus it is important to stay careful with these.
Be especially careful when dealing with squares and cubes. Many times students write 2 in place of 3 and vice versa, only to end up making silly mistakes. Also, degree 4 is the square of the square. Such tricks will save you time during the exam.
Why Do You Need SSC CGL Coaching?
SSC CGL exam can open multiple opportunities for a candidate. It is an important exam since it opens the door to several vacancies in government departments. However, you need to get a good grasp of algebraic formulas by practicing regularly.
If you want to crack the SSC CGL exams on the first attempt, you need robust SSC CGL coaching. With the help of SSC CGL coaching classes, you shall be guided by the best faculty members. Suitable study notes and a customized study strategy plan will help you ace the exam. With proficient guidance, you shall be able to know all tricks and hacks associated with the algebra formulas for SSC. By practicing question papers from previous years and mock tests regularly, cracking the Quantitative aptitude section in the SSC CGL will be easy.
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MAHENDRA GURU