Algebra Questions for SSC, Download Algebra Questions for SSC CGL PDF

By BYJU'S Exam Prep

Updated on: September 25th, 2023

Algebra Questions for SSC: Algebra is an essential topic in the Quantitative Aptitude section of the SSC exams. It is one of the most scoring sections and can make a huge difference in your overall score if you prepare well. Typically, the exam has three to four algebra questions, and scoring in this section can be easy or tough depending on the complexity and your understanding of the questions.

Algebra involves playing with numbers and solving equations. In this article, we will discuss algebra questions for SSC exams, along with their solutions and explanations. The direct link to download algebra questions for SSC CGL PDF

Algebra Questions for SSC

Algebra questions is a very important topic of the quant syllabus. In this article, we have provided Algebra formulas and short tricks in order to solve these questions effectively. The weightage of Algebra for the SSC exam is on average around 2-4 questions. The level of difficulty of the Algebra questions depends on the strategy you use. Due to their complex nature, some questions take longer to calculate. 

SSC Algebra Questions With Solutions

Refer to the Algebra questions that were frequently asked in the SSC exams below:

1. If width=79, what is the value of width=67

A. 70.25
B. 74.25
C. 72.25
D. 75.25

Answer ||| A

2.If x = 32, y = 33 and z = 35, then evaluate the expression x3+ y3 + z3 – 3xyz.

A. 1120
B. 1000
C. 900
D. 700

Answer ||| D

3.If x + y + z =25, x3 + y3 + z3 = 85 and xyz = 20, then find the value of x2 + y2 + z2 – xy – yz – zx.

A. 2
B. 1
C. 4
D. 3

Answer ||| B

4.If 4a2b = 128 and 33a32b – 9ab = 0 then find the value of 2a + 3b?

A. 13
B. 10
C. 12
D. 17

Answer ||| A

5.If a = bx , b = cy and c = az then the value of xyz is:

A. 1
B. 2
C. 0
D. -1

Answer ||| A 

Algebra Questions for SSC CGL

Algebra questions for SSC CGL are an important aspect for the aspirants who are planning to appear for the upcoming examination. Please refer to the questions provided by our experts in order to have a complete understanding of this topic. These algebra questions were asked in SSC CGL Previous Year Papers.

1.If a + b = 11 and ab = 35, then what is the value of (a4 + b4)?

A. 261
B. 102
C. 151
D. 124

Answer ||| C

2. Simplify the following width=197

A. 1042
B. 1078
C. 1056
D. 1064

Answer ||| B

3.If width=84, then what is the value ofwidth=47?

A. 18
B. 52
C. 42
D. 36

Answer ||| B

4.If a + b + c = 6, a2 + b2 + c2 = 14 and ab + bc + ca = 11, then what is the value of a3 + b3 + c3 – 3abc?

A. 42
B. 31
C. 18
D. 12

Answer ||| C

5.If width=144 and a + b = 5c, where c > 0, then the value of c is

A. 12
B. 5
C. 4
D. 8

Answer ||| D

6.The value of width=197 is:

A. 62080
B. 80
C. 776
D. 40

Answer ||| C

7.Simplify width=79 if width=67.

A. width=23
B. width=32
C. width=23
D. width=32

Answer ||| D

8.If a + b = 5 and ab = 6 , then find 3(a2 + b2).

A. 48
B. 39
C. 26
D. 13

Answer ||| B

9.A, B, C are three angles of a triangle. If A – B = 45° and B – C = 15° then ∠A = ?

A. 83°
B. 95°
C. 75°
D. 85°

Answer ||| B

10.If 8a3 + 27b3 = 16 and 2a + 3b = 4,then find the value of 16a4 + 81b4.

A. 32
B. 28
C. 30
D. 26

Answer ||| A 

Algebra Questions for SSC CGL PDF

A significant number of algebra questions are asked in the CGL exam. Therefore, we have prepared an Algebra Questions for SSC CGL PDF to provide our aspirants with a good bank of questions to practice and excel in this section. It is an important topic of SSC CGL Syllabus.

Download the PDF below in both Hindi and English language. 

Benefits of Downloading SSC Algebra Questions PDF

The Staff Selection Commission is in charge of developing question papers for various positions. Every year, lakhs of people fill out the application form, making the competition more difficult. Because of greater weightage of the Algebra section in the SSC exams candidates are advised to solve the SSC Algebra question paper PDF with answers, as this would aid them in a variety of ways. Candidates will get to know about the types of questions and also the depth of those questions if they go through the SSC Algebra question paper PDF with answers dedicatedly.

Algebra Formulas for SSC CGL

Algebraic phrases and mathematical symbols are used together to create algebra formulas. The x variable in these algebraic formulae, which may be obtained by simplifying an equation, is unknown. These algebraic formulas are used to obtain an easy solution to challenging algebraic questions without complicated calculations. Take a look at some of the important algebra formulas for SSC CGL.

Formulas to Solve Algebra Questions for SSC

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  • image002
  • image003
  • image004
  • width=190
  • image006
  • image007
  • image008
  • image009
  • image010 If image011 then image012

Tricks to Solve SSC Algebra Questions

Apply algebra formulas to solve questions in seconds which otherwise would have taken 5-10 minutes. Now that you have learned these algebra formulas, let us learn to apply Algebra tricks. All you need to do is get the formula right because opting for the wrong formula can never lead you to the right solution. Below we have given some examples of the types of Algebra questions for SSC CGL.

How to Solve Algebra Questions for SSC

Below we have provided different types of algebra questions for SSC along with solutions to help you understand how you can attempt them.

Type 1. If image013, find the value of image014


Squaring both side


Squaring both sides again,



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




Squaring both sides again



Type 3: Find the value ofimage035if image036

Ans. image037

image038 = 9 – 8 = 1


Type 4: Ifimage040 then find the value ofimage041



Cubing both sides,



Type 5: Ifimage047image048 then find the value of image049


Squaring both sides,


Putting the value ofimage052


Type 6 If image059, find the value ofimage060



(Dividing by x y z)

image063image064…. (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.



Algebra questions for SSC mentioned above are among the common ones. Alegbra Questions are often based on the calculations and application of algebra short tricks. To perform well in the exams, you must practice a lot. You can also attempt SSC Mock Test to check your preparation level and identify your strengths and weaknesses. If you have any doubts or your scores are not up to that mark, you must enroll for SSC Online Coaching to crack SSC exams easily.


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