## 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,

- 12
- 9
- 4
- 8

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

- 6
- 4
- 10
- 8

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

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

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

- $1$
- $2\displaystyle\frac{1}{2}$
- $1\displaystyle\frac{1}{2}$
- $2$

**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,

- 3
- 6
- 9
- 12

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

- 64
- 76
- 52
- 4

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

- $0$
- $2$
- $-1$
- $1$

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

- 1
- 0
- $\displaystyle\frac{1}{2}$
- $\displaystyle\frac{3}{2}$

**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,

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

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

- $140$
- $125$
- $-125$
- $1$

### 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.**

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