The Staff Selection Commission (SSC) is likely to conduct the SSC CGL 2025 Tier 1 Examination between June and July 2025. As one of the most competitive government exams in India, SSC CGL demands focused and smart preparation across all subjects. Among all sections, Quantitative Aptitude is considered one of the toughest by most candidates, and within that, Algebra is often regarded as the most challenging yet high-scoring topic.
To help you gain a strong command over this topic, we bring you SSC CGL Algebra Questions Series, featuring handpicked practice questions based on previous year trends and expected patterns. These questions will not only help you assess your preparation but also identify areas that need improvement.
Why Algebra Is Important in SSC CGL 2025?
Algebra is a core part of the Quantitative Aptitude syllabus for the SSC CGL Exam. It carries a significant weightage in the Tier 1 paper and can help boost your overall score if approached strategically. Reasons why Algebra matters are:
- Frequently asked every year
- Involves formulas and identities that are easy to master with practice
- Direct questions with no ambiguity
- Can be time-saving once concepts are clear
Algebra Syllabus for SSC CGL 2025
To score well in the Quantitative Aptitude section of the SSC CGL Syllabus, mastering Algebra is essential. Below are the key subtopics that you must focus on while preparing for the SSC CGL 2025 Tier 1 exam:
| Topic | Details Covered |
| Algebraic Identities | – (a+b)2,(a−b)2,(a+b)3,(a−b)3(a + b)^2, (a – b)^2, (a + b)^3, (a – b)^3(a+b)2,(a−b)2,(a+b)3,(a−b)3 – Special identities involving squares and cubes |
| Simplification of Expressions | – Combine like terms – Apply standard identities – Simplify rational and algebraic expressions |
| Factorization | – Middle-term splitting – Common factor method – Special products like (x2−y2)(x^2 – y^2)(x2−y2) |
| Cubes and Squares of Expressions | – Cube and square of binomials – (x+y)2,(x−y)2(x + y)^2, (x – y)^2(x+y)2,(x−y)2 – (a+b+c)2(a + b + c)^2(a+b+c)2 and variants |
| Linear Equations | – Solving linear equations in one or two variables |
| Special Algebraic Forms | – (a3+b3+c3−3abc)(a^3 + b^3 + c^3 – 3abc)(a3+b3+c3−3abc) – (x+y)2,(x−y)2(x + y)^2, (x – y)^2(x+y)2,(x−y)2, etc. |
SSC CGL Algebra Questions, Solve Practice Questions Here
Q1) If a = 1.21, b = 2.12 and c = –3.33 then, the value of a³+ b³+ c³– 3abc is?
A. O
B. 1
C. 2
D. 3
Correct Answer: “A”
Q2) If a/b = b/4 = c/7, then (a+b+c) / c is equal to?
A. O
B. 1
C. 2
D. 3
Correct Answer: “C”
Q3) If a = 0.25, b = – 0.05, c = 0.5, then the value of ( a²-b²-c²-2bc ) / (a²-b²-2ab-c²) is?
A.7/8
B. 14/17
C. 1
D. 25/16
Correct Answer: “A”
Q4) If, (√7-2) / (√7+2) – a√7+b, then the value of a is?
A. 11/3
B. -4/3
C. 4/3
D. -(4√7)/3
Correct Answer”B”
Q5) If 
, then what is the value of x?
A. 5/2
B. 25/3
C. 4
D. 3
Correct Answer: “D”
Q6) If (x + y + z) = 12, xy + yz + zx = 44 and xyz = 48,then what is the value of x³+y³+z³= ?
A.104
B. 144
C. 196
D. 288
Correct Answer: “D”
Q7) If x(2x + 3) = 90 and 
(x and y are positive numbers), then what is the value of x²+y²?
A. 45
B. 109
C. 117
D. 126
Correct Answer: “C”
Q8) If x²+y²+z² = xy + yz + zx, then what is the value of (7x + 3y – 5z)/5x?
A. 0
B. 1
C. 5
D. 33/5
Correct Answer: “B”
Q9) If a + b + c = 11 and ab + bc + ca = 17, then what is the value of a³+b³+c³-3abc?
A. 121
B. 168
C. 300
D. 770
Correct Answer: “D”
Q10) If (x/5) + (5/x) = – 2, then what is the value of x³ ?
A. -125
B. 5
C. 1/125
D. 625
Correct Answer: “A”
Q11) If x + (1/x) = 2,then what is the value of 
?
A. 0
B. 1
C. 2
D. 4
Correct Answer: “C”
Q12) If x+y+z = 13 and x²+y²+z²=69, then xy+z(x+y)=?
A. 50
B. 60
C. 100
D. 80
Correct Answer: “A”
Q13) If x + (a/x) = 1, then the value of (x²+x+a) / (x³-x²) = ?
A. -2/a
B. 2/a
C. 1/a
D. -1/a
Correct Answer: “A”
Q14) If (m-a²) / (b²+ c²) + (m-b² )/ (c²+a²) + (m-c²)/ (a²+b²) = 3, the value of m?
A. ab+bc+ca-abc
B. a²+b²+c²
C.(a+b+c)²
D.a²+b²+cab-bc-ca
Correct Answer: “B”
Q15) 
A. 0
B. 1
C. 2
D. 3
Correct Answer: “B”
Q16) 
A. 1
B. 2
C. 3
D. 0
Correct Answer: “D”
Q17) If a/b = b/c = c/d, then the value of (b-c)²+(c-a)²+(d-b)²=?
A. a+d
B. a-d
C. (a+d)²
D. (a-d)²
Correct Answer: “D”
Q18) 
A. 222
B. 111
C. 444
D. 333
Correct Answer: “D”
Q19) If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x³+y³+z³-3xyz ?
A. 81
B. 361
C. 729
D. 6561
Correct Answer: “C”
Q20) If x + 1/(x+2) = 6, then the value of (x+2)³ + 1/(x+2)³?
A. 512
B. 488
C. 486
D. 500
Correct Answer: “B”
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FAQs
Ans. It’s a high-weightage and scoring topic in the Quantitative Aptitude section.
Ans. Usually 3–5 questions are asked in the Tier 1 exam.
Ans. Algebraic identities, factorization, simplification, and special forms.
Ans. Revise formulas, solve PYQs, and practice mock tests regularly.
Ans. They’re easy to moderate if your concepts and formulas are clear.
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