## 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,

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

**Note:****If you are an SSC CGL aspirant**, you may refer to our useful article * 7 steps for sure success in SSC CGL tier 1 and tier 2 tests* in which we have included all our student resources on SSC CGL topics as links.

**Watch out for more student resources on SSC CGL in this article.**

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

For basic conceps please refer to **Fraction and surd related article** directly by referring to the following articles.

### Concept tutorials on Fractions, Surds, decimals and related topics

**Fractions and Surds concepts part 1**

**Base equalization technique is indispensable for solving fraction problems**

**How to solve surds part 1, Rationalization**

**How to solve surds part 2, Double square root surds and surd term factoring**

**How to solve surds part 3, Surd expression comparison and ranking**

#### Question sets and Solution Sets in Fractions and related topics

**SSC CGL level Solution set 75 on fractions decimals indices 7**

**SSC CGL level Question set 75 on fractions decimals indices 7**

**SSC CGL level Solution Set 73 on Surds and Indices 7**

**SSC CGL level Question Set 73 on Surds and Indices 7**

**SSC CGL level Question Set 70 on fractions surds 6**

**SSC CGL level Solution Set 70 on fractions surds 6**

**SSC CGL level Question Set 61 on fractions indices surds 5**

**SSC CGL level Solution Set 61 on fractions indices surds 5**

**SSC CGL level Question Set 60 on fractions indices surds 4**

**SSC CGL level Solution Set 60 on fractions indices surds 4**

**SSC CGL level Question Set 59 on fractions square roots and surds 3**

**SSC CGL level Solution Set 59 on fractions square roots and surds 3**

**SSC CGL level Question Set 47 on fractions decimals and surds 2**

**SSC CGL level Solution Set 47 on fractions decimals and surds 2**

**SSC CGL level Question Set 17 on fractions decimals and surds 1**

**SSC CGL Level Solution set 17 on fractions decimals and surds 1**