SSC CGL Algebra is a challenging but scoring part of Quantitative Aptitude. This question series includes handpicked practice questions based on previous-year trends to help candidates assess their preparation, improve accuracy and identify weak areas.
Download Algebra Practice Questions PDF for SSC CGL
Candidates can download the Algebra Practice Questions PDF for the SSC CGL Exam from the link provided below. The PDF contains important algebra questions with answers to help improve calculation speed, accuracy and problem-solving skills.
Attempt SSC CGL Algebra Questions Live Quiz
Solve the SSC CGL Algebra Questions given below and check your performance through the live quiz. The practice set covers algebraic identities, linear equations, quadratic equations, simplification, factorisation, polynomials and other algebra-based questions commonly asked in the SSC CGL Maths section.
1. If a = 1.21, b = 2.12 and c = −3.33, then what is the value of a3 + b3 + c3 − 3abc?
2. If a/b = b/4 = c/7, then (a + b + c)/c is equal to?
3. If a = 0.25, b = −0.05 and c = 0.5, then what is the value of (a2 − b2 − c2 − 2bc)/(a2 − b2 − 2ab − c2)?
4. If (√7 − 2)/(√7 + 2) − a√7 + b, then what is the value of a?
5. If, then what is the value of x?
6. If x + y + z = 12, xy + yz + zx = 44 and xyz = 48, then what is the value of x3 + y3 + z3?
7. If x(2x + 3) = 90 and x and y are positive numbers, then what is the value of x2 + y2?
8. If x2 + y2 + z2 = xy + yz + zx, then what is the value of (7x + 3y − 5z)/5x?
9. If a + b + c = 11 and ab + bc + ca = 17, then what is the value of a3 + b3 + c3 − 3abc?
10. If (x/5) + (5/x) = −2, then what is the value of x3?
11. If x + (1/x) = 2, then what is the value of?
12. If x + y + z = 13 and x2 + y2 + z2 = 69, then what is the value of xy + z(x + y)?
13. If x + (a/x) = 1, then what is the value of (x2 + x + a)/(x3 − x2)?
14. If (m − a2)/(b2 + c2) + (m − b2)/(c2 + a2) + (m − c2)/(a2 + b2) = 3, then what is the value of m?
17. If a/b = b/c = c/d, then what is the value of (b − c)2 + (c − a)2 + (d − b)2?
18.
19. If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x3 + y3 + z3 − 3xyz?
20. If x + 1/(x + 2) = 6, then what is the value of (x + 2)3 + 1/(x + 2)3?
Quiz Summary
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Why Algebra Is Important in SSC CGL 2026?
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 2026
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 2026 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. |
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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