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SSC CGL level Question Set 10, Algebra

10 algebra questions and answers with x+1/x type questions

4th set of 10 Algebra questions and answers (with x+1/x type questions) for SSC CGL

Yes, try to solve such x+1/x type questions in a minute. Try 10 algebra questions Set 4 for SSC CGL, SSC CHSL. Verify answers and learn to solve quick.

The carefully selected 10 questions are broadly of six different types. Not only would you need varieties of algebra problem solving techniques to solve the problems quick, but also from the corresponding solution set you'll learn these easy to use techniques.

At the end are the answers and link to the solution that will show you how to solve the questions quick.

Go ahead. Take the timed test with TIMER ON.

10 MCQ Algebra Questions 4th set for SSC CGL and other exams - time to solve 12 mins

Q1. If $2a + \displaystyle\frac{1}{3a} = 6$, then the value of the expression $3a + \displaystyle\frac{1}{2a}$ is,

  1. 12
  2. 9
  3. 4
  4. 8

Q2. If $x^2 + y^2 - 2x + 6y + 10 = 0$, then $(x^2 + y^2)$ is,

  1. 6
  2. 4
  3. 10
  4. 8

Q3. If $x^2 = 2$, then $x + 1$ is,

  1. $x - 1$
  2. $\displaystyle\frac{2}{x - 1}$
  3. $\displaystyle\frac{x + 1}{3 - 2x}$
  4. $\displaystyle\frac{x - 1}{3 - 2x}$

Q4. If $a^2 + b^2 + \displaystyle\frac{1}{a^2} + \displaystyle\frac{1}{b^2} = 4$  then $a^2 + b^2$ is,

  1. $1$
  2. $2\displaystyle\frac{1}{2}$
  3. $1\displaystyle\frac{1}{2}$
  4. $2$

Q5. If $a + b + c = 6$, $a^2 + b^2 + c^2 = 14$ and $a^3 + b^3 + c^3 = 36$, then the value of $abc$ is,

  1. 3
  2. 6
  3. 9
  4. 12

Q6. If $x + \displaystyle\frac{1}{16x} = 1$, then the value of $64x^3 + \displaystyle\frac{1}{64x^3}$ is,

  1. 64
  2. 76
  3. 52
  4. 4

Q7. If $a^4 + a^2b^2 + b^4 = 8$ and $a^2 + ab + b^2 = 4$, then the value of $ab$ is,

  1. $0$
  2. $2$
  3. $-1$
  4. $1$

Q8. If $x^2 + y^2 + z^2 = xy + yz + zx$, then the value of, $\displaystyle\frac{4x +2y -3z}{2x}$ is,

  1. 1
  2. 0
  3. $\displaystyle\frac{1}{2}$
  4. $\displaystyle\frac{3}{2}$

Q9. If $x\left(3 - \displaystyle\frac{2}{x}\right) = \displaystyle\frac{3}{x}$, and $x\neq{0}$ then $x^2 + \displaystyle\frac{1}{x^2}$ is,

  1. $2\displaystyle\frac{5}{9}$
  2. $2\displaystyle\frac{4}{9}$
  3. $2\displaystyle\frac{1}{3}$
  4. $2\displaystyle\frac{2}{3}$

Q10. If $(x -a)(x - b) = 1$ and $(a - b) + 5 = 0$, then $(x - a)^3 - \displaystyle\frac{1}{(x - a)^3}$ is

  1. $140$
  2. $125$
  3. $-125$
  4. $1$

Answers to the 10 MCQ Algebra Questions 4th set for SSC CGL and other exams

Q1. Answer: Option b: 9.

Q2. Answer: Option c: 10.

Q3. Answer: Option d: $\displaystyle\frac{x - 1}{3 - 2x}$.

Q4. Answer: Option d: $2$.

Q5. Answer: Option b: 6.

Q6. Answer: Option c: 52.

Q7. Answer: Option d: 1.

Q8. Answer: Option d: $\displaystyle\frac{3}{2}$.

Q9. Answer: Option b: $2\displaystyle\frac{4}{9}$.

Q10. Answer: Option a: 140.


Solutions to the 10 MCQ Algebra Questions 4th set for SSC CGL and other exams

For detailed conceptual solutions with answers you should refer to the companion SSC CGL level Solution Set 10 on Algebra.


Guided help on Algebra in Suresolv

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Suresolv Algebra Reading and Practice Guide for SSC CHSL, SSC CGL, SSC CGL Tier II and Other Competitive exams.

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