SSC Algebra Questions, Download PDF
Roshni Yadav4 Nov, 2025
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SSC Algebra Questions evaluate the skill to handle basic algebraic concepts such as simplification, equations, identities, and factorization. These include manipulating linear and quadratic expressions, using formulas, and simplifying complex algebraic expressions quickly.
Mastering SSC algebra questions is crucial for acing the quantitative aptitude sections of the SSC CGL, CHSL, MTS, and GD exams. Regular practice with a variety of algebra problems improves both calculation speed and conceptual clarity.
SSC Algebra Questions PDF
Practice from the SSC algebra questions PDF linked below. The resource covers previous years SSC CGL, algebra questions, SSC CHSL algebra questions, SSC MTS algebra questions, SSC GD algebra questions, formulas, solved examples, and quizzes.
Given below are the download links for the SSC Algebra Questions PDF:
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SSC Algebra Questions PDF |
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SSC Algebra Questions PDF in English |
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SSC Algebra Questions PDF in Hindi |
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SSC Algebra Tricks for Quick Revision
SSC Algebra Tricks features formulas and identities for handling binomials, cubes, quadratic equations, and algebraic expressions.
The following are the quick SSC Algebra tricks and SSC Algebra formulas to solve complicated algebra problems in seconds:
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SSC Algebra Tricks for Quick Revision |
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Trick / Topic |
Formula / Explanation |
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Square of a Binomial |
(a + b)² = a² + 2ab + b² |
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Cube of a Binomial |
(a + b)³ = a³ + 3a²b + 3ab² + b³ |
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Difference of Squares |
a² − b² = (a + b)(a − b) |
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Sum / Product of Cubes |
a³ + b³ = (a + b)(a² − ab + b²) a³ − b³ = (a − b)(a² + ab + b²) |
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Quadratic Factorization |
Techniques to factorize ax² + bx + c |
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Algebraic Identities |
Used to simplify and solve algebraic expressions easily |
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BODMAS Rule |
Order: Brackets → Orders (powers/roots) → Division → Multiplication → Addition → Subtraction |
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Fraction to Decimal |
Divide the numerator by the denominator |
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Approximation Techniques |
Round numbers to simplify calculations and save time |
SSC Algebra Questions for Practice
SSC algebra quiz and questions related to SSC Algebra generally test a candidate's understanding of the basics of algebra, identities, and equations. These questions, in most cases, involve simplification of expressions, solving linear and quadratic equations, and using algebraic identities to find unknown values quickly.
Q1. If (y + 1/y) = 8, find the value of (y² + 1/y²).
(A) 64
(B) 66
(C) 62
(D) 60
Q2. If x + 1/x = 7, then x² + 1/x² is equal to:
(A) 47
(B) 61
(C) 49
(D) 51
Q3. If (2y + 2/y) = 7, find the value of (y² + 1/y²).
(A) 41/49
(B) 45/49
(C) 41/22
(D) 45/22
Q4. If m - 1/m = 7, then what is the value of m² + 1/m²?
(A) 0
(B) 51
(C) 53
(D) 49
Q5. If a + b = 8 and ab = 7, then the value of (a - b) is equal to
(A) 2
(B) 4
(C) 6
(D) 8
Q6. If (a - b) = 9 and (a³ - b³) = 4401, find the value of ab.
(A) 190
(B) 112
(C) 162
(D) 136
Q7. If 3x = 5y = 14 and xy = 6, then what is the value of 9x² + 25y²?
(A) 14
(B) 18
(C) 10
(D) 16
Q8. If a + 5b = 25 and ab = 20, then what will be the value of (a - 5b)?
(A) 15
(B) 14
(C) 13
(D) 16
Q9. (a + 2b)² - (a - 2b)² is equal to:
(A) 10ab
(B) 4ab
(C) 8ab
(D) 6ab
Q10. If a² + b² = 65 and ab = 8, a > b > 0, then find the value of a² - b².
(A) 72
(B) 62
(C) 65
(D) 60
Q11. If 49a² - b = (7a - 1/7)(7a + 1/7), then the value of b is
(A) 0
(B) 1
(C) 1/7
(D) 1/49
Q12. If x² + 4y² = 53 and x - 2y = 5, then what is the value of x³ - 8y³?
(A) 85
(B) 155
(C) -85
(D) 335
Q13. If x + 3y = 6, what is the value of x³ + 27y³ + 54xy?
(A) 264
(B) 258
(C) 216
(D) 220
Q14. Simplify the given expression: (x - 1/x)³ - (x + 1/x)³
(A) 2x - 2/x
(B) 3x - 3/x
(C) 4x - 4/x
(D) 6x - 6/x
Q15. If (x + 6y) = 8, and xy = 2, where x > 0, what is the value of (x³ + 216y³)y²?
(A) 288
(B) 224
(C) 368
(D) 476
Q16. The simplified form of (x + 2y)³ + (x - 2y)³ is:
(A) 2x³ + 24xy²
(B) 2x³ - 24xy²
(C) 2x³ - 8y³
(D) x³ + 8y³
Q17. Find the value of 6(a⁴ + b⁴)/ab, if a + b = 5 and ab = 6.
(A) 53
(B) 45
(C) 35
(D) 70
Q18. If 2x + 3y + 1 = 0, then what is the value of (8x³ + 8 + 27y³ - 18xy)?
(A) -7
(B) 7
(C) 9
(D) -9
Q19. If a + b = 10 and (3/7) of ab = 9, then the value of a³ + b³ is:
(A) 350
(B) 370
(C) 270
(D) 360
Q20. If a + b + c = 0, then what is the value of
((b + c)² / bc) + ((c + a)² / ca) + ((a + b)² / ab)?
(A) 3
(B) -3
(C) 1
(D) -1
Benefits of Solving SSC Algebra Questions
The practice of SSC Algebra questions strengthens one's preparedness for the examination by developing one's speed, accuracy, and confidence in identifying common patterns and applying methods for quick solving effectively.
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Builds up speed and accuracy in tackling algebraic problems under pressure.
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Familiarize yourself with the common patterns and problem types in SSC exams.
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Helps in systematic self-assessment and enhances confidence.
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Provides time-saving shortcuts and tricks for fast calculations.
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Allows effective revision using formula sheets and practice quizzes.
PW provides SSC exam content, including SSC Exams Updates, sample papers, mock tests, guidance sessions, and more. Also, enroll today in the SSC Online Batches for preparation.