Quant is one of the toughest sections of almost every government examination. Most clerk examination consists of questions from algebra topics. We have come up with some of the most important questions of algebra for all the competitive exams. This blog includes a free PDF containing important algebra questions with answers, along with a live practice quiz to help candidates test their preparation, improve calculation speed and strengthen their problem-solving skills.
Download Algebra Practice Questions PDF
Candidates can download the Algebra Practice Questions PDF for SSC and Railway Exams from the link provided below. The PDF contains important algebra questions with answers to help improve calculation speed, accuracy and problem-solving skills for SSC, Railways and other competitive exams
Attempt Algebra Questions Live Quiz
Solve the 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 algebra-based problems.
Q1. If x + 16/x = 8, then what is the value of x2 + 32/x2?
Q2. If x + 1/(x + 3) = -1, then what is the value of (x + 4)4/(x + 3)11?
Q3. If b4 + 1/b2 = 2b, then find the value of b2 – 1/b4.
Q4. If 3x = 9y = 27z and xy + yz + zx = 3xyz, then find the value of 3xyz.
Q5. If 9x2 + y2 = 37 and xy = 2, where x, y > 0, then find the value of 27x3 + y3.
Q6. If a2 + b2 + c2 = a + c – 1/2, then find the value of (4a + 2b + c)/(a + c).
Q7. If x = √(-√3 + √(3 + 8√(7 + 4√3))), where x > 0, then find the value of x.
Q8. If x = √(1 + √3/2) – √(1 – √3/2), then find the value of (√3 – x)/(√3 + x).
Q9. If 751/x = 451/y = 151/z, then which of the following statements is true?
Q10. If a + b + c = 5 and a3 + b3 + c3 – 3abc = 245, then find the value of ab + bc + ca.
Q11. If x + y + z = 3, x2 + y2 + z2 = 45 and x3 + y3 + z3 = 69, then find the value of xyz.
Q12. If x + y + z = 2, xy + yz + zx = -11 and xyz = -12, then find the value of x3 + y3 + z3.
Q13. If a + b + c = 6 and a3 + b3 + c3 – 3abc = 342, then find the value of ab + bc + ca.
Quiz Summary
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