## Hard algebra questions answers for competitive exams - SSC CGL test set 22

Hard algebra questions answers for competitive exams, practice set 22 specially for SSC CGL. Take the test, verify answers and clear doubts from solutions.

Take the

timed test,score your performance from the answers and then clear doubts from the solution set. Link is at the end.

Answering quantitative algebra questions is not the same as in a school test. Quick and correct answer is the key to success in such exams. You will have maximum 1 minute to 90 seconds for answering a question.

Speed of answer, accuracy and strategy are the three key elements for success in any MCQ test.

If you want to skip the following TIPS FOR QUICK ANSWERING and take the test right away click **here.**

### TIPS for QUICK ANSWERING in a MCQ test

From years of experience, the short list of tips for accurate and quick answering compiled.

You,

1. Must have a good understanding of the

BASIC CONCEPTSof the topic.

2. Are ADEQUATELY fast in mental math calculation: For SSC CGL lightning fast mental calculation NOT NEEDED at all.

3. Should FORGET USING TRICKS. Instead, first use basic concepts and then advanced concepts created from basic concepts. Identifying key patterns in a problem is vital for quick solution.

4. DO NOT MEMORIZE formulas. Practice solving many SELECTED problems, if needed REPEATEDLY, to know by heart

how to identify the key patternsin the problem andtake the action for solving the problem quick and correct.

5. WRITE DOWN the most used concepts and formulas for solving algebra mcqs in two sheets of paper (try to be short because it is for yourself). This writing down will help in recall when you need. You will get PRACTICALLY ALL FORMULAS AND TECHNIQUES NEEDED FOR SOLVING ALGEBRA MCQS IN SSC CGL in Suresolv. Go through the articles at your pace using the links in

.Guided help on Algebra in Suresolv

6. DO MOST of the REASONING IN YOUR HEAD without touching pen on paper. Make it a habit during practice sessions. If needed repeat a test of 10 algebra mcqs.

7. Go through the most used algebra problem solving FORMULAS AND TECHNIQUES in

Basic and rich Algebraic concepts for elegant solutions of SSC CGL problems.

*Set the timer ON and take the test now in all seriousness.*

### Hard algebra questions for competitive exams - SSC CGL test set 22 - time to answer 12 mins

**Q1. **The value of $a = \displaystyle\frac{b^2}{b-a}$, then the value of $a^3 + b^3$ is,

- 1
- 6ab
- 2
- 0

**Q2.** If $x = \sqrt[3]{5} + 2$, then the value of $x^3 - 6x^2 + 12x -13$, is,

- 0
- -1
- 2
- 1

**Q3.** If $p=124$, then the value of $\sqrt[3]{p(p^2 + 3p + 3) + 1}$, is,

- 123
- 5
- 7
- 125

**Q4. **The factors of $(a^2 + 4b^2 + 4b - 4ab - 2a - 8)$ are,

- $(a + 2b - 4)(a + 2b + 2)$
- $(a - 2b - 4)(a - 2b + 2)$
- $(a + 2b - 1)(a - 2b + 1)$
- $(a - b + 2)(a - 4b - 4)$

**Q5. **When the expression $12x^3 - 13x^2 -5x + 7$ is divided by $3x + 2$ the remainder is,

- 0
- 2
- 1
- -1

**Q6.** If $x(x-3)=-1$ then the value of $x^3(x^3 - 18)$ will be,

- 2
- 0
- 1
- -1

** Q7.** If $x = \sqrt{5} + 2$, then the value of $\displaystyle\frac{2x^2 - 3x - 2}{3x^2 - 4x - 3}$ is,

- 0.525
- 0.625
- 0.785
- 0.185

** Q8.** If $\displaystyle\frac{p}{a} + \displaystyle\frac{q}{b} + \displaystyle\frac{r}{c} = 1$, and $\displaystyle\frac{a}{p} + \displaystyle\frac{b}{q} + \displaystyle\frac{c}{r} = 0$, where $p$, $q$, $r$, $a$, $b$ and $c$ are non-zero, the value of $\displaystyle\frac{p^2}{a^2} + \displaystyle\frac{q^2}{b^2} + \displaystyle\frac{r^2}{c^2}$ is,

- 2
- -1
- 0
- 1

**Q9.** If equation $2x^2 -7x + 12 = 0$ has two roots $\alpha$ and $\beta$, then the value of $\displaystyle\frac{\alpha}{\beta} + \displaystyle\frac{\beta}{\alpha}$ is,

- $\displaystyle\frac{1}{24}$
- $\displaystyle\frac{7}{24}$
- $\displaystyle\frac{7}{2}$
- $\displaystyle\frac{97}{24}$

** Q10.** If $a - b= 3$, and $a^3 - b^3 = 117$, then absolute value of $a + b$ is,

- 5
- 7
- 3
- 9

### How to solve the questions quick and correct

Is it possible to answer ALL 10 Questions comfortably in 10 minutes?

Yes, it is.

To know **how it is possible**, learn the conceptual techniques in the solutions,

**SSC CGL level Solution Set 22, Algebra 7.**

Own up the *way of solving in mind.* Then you will also be able to do it. Easily.

### Guided help on Algebra in Suresolv

To get the best results out of the extensive range of articles of **tutorials**, **questions** and **solutions** on **Algebra **in Suresolv, *follow the guide,*

**The guide list of articles includes ALL articles on Algebra in Suresolv and is up-to-date.**