## Seventeenth SSC CGL level Question Set, topic Fractions Decimals and Surds

This is the seventeenth question set of 10 practice problem exercise for SSC CGL exam on topic Fractions Decimals and Surds. Students should complete this question set in prescribed time first and then only refer to the corresponding solution set.

We found from our experience that this set of topics together pose some degree of difficulties to the students in a way similar to Algebra. Without going into the reasons behind the difficulties we will try to address them through detailed explanation of efficient problem solutions in the paired solution set.

Before attempting this timed question set, you may like to go through our tutorial article on * Fractions and Surds concepts part 1* in which this set of problems was given as an exercise.

### Seventeenth question set- 10 problems for SSC CGL exam: topic Fractions Decimals and Surds - time 12 mins

**Problem 1.**

How much more is $\sqrt{12} + \sqrt{18}$ compared to $\sqrt{3} + \sqrt{2}$?

- $\sqrt{3} + 2\sqrt{2}$
- $2(\sqrt{3} - \sqrt{2})$
- $\sqrt{2} - 4\sqrt{3}$
- $2(\sqrt{3} + \sqrt{2})$

**Problem 2.**

The value of $\displaystyle\frac{1}{30} + \displaystyle\frac{1}{42} + \displaystyle\frac{1}{56} + \displaystyle\frac{1}{72} + \displaystyle\frac{1}{90} + \displaystyle\frac{1}{110}$ is,

- $\displaystyle\frac{1}{9}$
- $\sqrt{2}\displaystyle\frac{2}{27}$
- $\displaystyle\frac{6}{55}$
- $\displaystyle\frac{5}{27}$

**Problem 3.**

$3.\overline{36} - 2.\overline{05} + 1.\overline{33}$ equals,

- $2.64$
- $2.\overline{64}$
- $2.60$
- $2.\overline{61}$

**Problem 4.**

$\displaystyle\frac{1\displaystyle\frac{1}{4} \div{1\displaystyle\frac{1}{2}}}{\displaystyle\frac{1}{15} + 1 -\displaystyle\frac{9}{10}}$ is equal to,

- $5$
- $6$
- $3$
- $\displaystyle\frac{2}{5}$

**Problem 5.**

$\displaystyle\frac{1}{3 - \sqrt{8}} - \displaystyle\frac{1}{\sqrt{8} - \sqrt{7}} + \displaystyle\frac{1}{\sqrt{7} - \sqrt{6}}$

$\hspace{10mm}- \displaystyle\frac{1}{\sqrt{6} - \sqrt{5}} + \displaystyle\frac{1}{\sqrt{5} - 2} =$

- 2
- 3
- 4
- 5

**Problem 6.**

$(159\times{21} + 53\times{87} + 25\times{106})$ equals

- 16000
- 1060
- 60100
- 10600

**Problem 7.**

$\displaystyle\frac{0.8\overline{3} \div{7.5}}{2.3\overline{21} - 0.0\overline{98}}$ equals

- 0.1
- 0.6
- 0.05
- 0.06

**Problem 8.**

The value of $(\sqrt{72} - \sqrt{18}) \div{\sqrt{12}}$ is,

- $\displaystyle\frac{\sqrt{3}}{2}$
- $\displaystyle\frac{\sqrt{6}}{2}$
- $\displaystyle\frac{\sqrt{2}}{3}$
- $\sqrt{6}$

**Problem 9.**

The value of $\sqrt{900} + \sqrt{0.09} - \sqrt{0.000009}$ is,

- 30.27
- 30.097
- 30.197
- 30.297

**Problem 10.**

The value of $(3 + \sqrt{8}) + \displaystyle\frac{1}{3 - \sqrt{8}} - (6 + 4\sqrt{2})$ is,

- $0$
- $1$
- $8$
- $\sqrt{2}$

You should go through the * paired solution set for this question set* which explains in details the concepts and techniques for efficient quick solutions of these problems.

### Guided help on Fractions, Surds and Indices in Suresolv

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

The guide list of articles **includes ALL articles on Fractions, Surds and Indices** and relevant topics in Suresolv and **is up-to-date.**