## 75th SSC CGL level Question Set, 7th on topic fractions, decimals and indices

This is the 75th question set of 10 practice problem exercise for SSC CGL exam and 7th on topic fractions, decimals and indices. A few of the problems may seem large and time-consuming, but can be solved quickly.

Students must complete this question set in prescribed time first and then only refer to the corresponding solution set for extracting maximum benefits from this resource.

You may refer to the related tutorials, question and solution sets listed at the end.

### 75th question set - 10 problems for SSC CGL exam: 7th on topic Fractions, decimals, indices - time 15 mins

#### Problem 1.

$\displaystyle\frac{13}{48}$ is equal to,

- $\displaystyle\frac{1}{3+\displaystyle\frac{1}{1+\displaystyle\frac{1}{16}}}$
- $\displaystyle\frac{1}{3+\displaystyle\frac{1}{1+\displaystyle\frac{1}{1+\displaystyle\frac{1}{8}}}}$
- $\displaystyle\frac{1}{2+\displaystyle\frac{1}{1+\displaystyle\frac{1}{8}}}$
- $\displaystyle\frac{1}{3+\displaystyle\frac{1}{1+\displaystyle\frac{1}{2+\displaystyle\frac{1}{4}}}}$

#### Problem 2.

When $\left(\displaystyle\frac{1}{2} -\displaystyle\frac{1}{4}+\displaystyle\frac{1}{5}-\displaystyle\frac{1}{6}\right)$ is divided by $\left(\displaystyle\frac{2}{5} -\displaystyle\frac{5}{9}+\displaystyle\frac{3}{5}-\displaystyle\frac{7}{18}\right)$ the result is,

- $5\displaystyle\frac{1}{10}$
- $3\displaystyle\frac{1}{6}$
- $3\displaystyle\frac{3}{10}$
- $2\displaystyle\frac{1}{18}$

#### Problem 3.

On simplification, $3034-(1002\div{20.04})$ is equal to,

- $2993$
- $2984$
- $3029$
- $2543$

#### Problem** 4.**

Value of $\displaystyle\frac{\displaystyle\frac{5}{3}\times{\displaystyle\frac{7}{51}}\text{ of }\displaystyle\frac{17}{5}-\displaystyle\frac{1}{3}}{\displaystyle\frac{2}{9}\times{\displaystyle\frac{5}{7}}\text{ of }\displaystyle\frac{28}{5}-\displaystyle\frac{2}{3}}$ is,

- $\displaystyle\frac{1}{2}$
- $4$
- $\displaystyle\frac{1}{4}$
- $2$

#### Problem** 5.**

Value of $\displaystyle\frac{9|3-5|-5|4|\div{10}}{-3(5)-2\times{4}\div{2}}$ is,

- $\displaystyle\frac{9}{10}$
- $\displaystyle\frac{4}{7}$
- $-\displaystyle\frac{8}{17}$
- $-\displaystyle\frac{16}{19}$

#### Problem 6.

The value of

$\left(1+\displaystyle\frac{1}{10+\displaystyle\frac{1}{10}}\right)\left(1+\displaystyle\frac{1}{10+\displaystyle\frac{1}{10}}\right)-$

$\left(1-\displaystyle\frac{1}{10+\displaystyle\frac{1}{10}}\right)\left(1-\displaystyle\frac{1}{10+\displaystyle\frac{1}{10}}\right)$ ÷

$\left[\left(1+\displaystyle\frac{1}{10+\displaystyle\frac{1}{10}}\right)-\left(1-\displaystyle\frac{1}{10+\displaystyle\frac{1}{10}}\right)\right]$ is,

- $2$
- $\displaystyle\frac{90}{101}$
- $\displaystyle\frac{20}{101}$
- $\displaystyle\frac{100}{101}$

#### Problem** 7.**

The value of $8\displaystyle\frac{1}{2}-\left[3\displaystyle\frac{1}{4}\div{\left\{1\displaystyle\frac{1}{4}-\displaystyle\frac{1}{2}\left(1\displaystyle\frac{1}{2}-\displaystyle\frac{1}{3}-\displaystyle\frac{1}{6}\right)\right\}}\right]$ is

- $4\displaystyle\frac{1}{2}$
- $\displaystyle\frac{2}{9}$
- $4\displaystyle\frac{1}{6}$
- $9\displaystyle\frac{1}{2}$

#### Problem** 8.**

$\sqrt{\displaystyle\frac{4\displaystyle\frac{1}{7}-2\displaystyle\frac{1}{4}}{3\displaystyle\frac{1}{2}+1\displaystyle\frac{1}{7}}\div{\displaystyle\frac{1}{2+\displaystyle\frac{1}{2+\displaystyle\frac{1}{5-\displaystyle\frac{1}{5}}}}}}$ is equal to,

- $1$
- $2$
- $3$
- $4$

#### Problem** 9.**

The value of $\displaystyle\frac{1+\displaystyle\frac{1}{2}}{1-\displaystyle\frac{1}{2}}\div{\displaystyle\frac{4}{7}\left(\displaystyle\frac{2}{5}+\displaystyle\frac{3}{10}\right)}\text { of }\displaystyle\frac{\displaystyle\frac{1}{2}+\displaystyle\frac{1}{3}}{\displaystyle\frac{1}{2}-\displaystyle\frac{1}{3}}$ is,

- $37\displaystyle\frac{1}{2}$
- $18\displaystyle\frac{3}{8}$
- $\displaystyle\frac{3}{2}$
- $\displaystyle\frac{2}{3}$

#### Problem** 10.**

When simplified, the expression $(100)^{\frac{1}{2}}\times{(0.001)^{\frac{1}{3}}}-(0.0016)^{\frac{1}{4}}\times{3^0}+\left(\displaystyle\frac{5}{4}\right)^{-1}$ is equal to,

- $1.0$
- $1.6$
- $0$
- $0.8$

You may refer to the corresponding solution set, * SSC CGL Solution Set 75 on Fractions decimals and indices 7*, where we have applied special time-saving techniques and methods to quickly solve the problems in mind as far as possible.

The answers to the questions are given below followed by a list of relevant articles of concept tutorials, question and solution sets.

### Answers to the questions

**Problem 1.** Answer: Option d: $\displaystyle\frac{1}{3+\displaystyle\frac{1}{1+\displaystyle\frac{1}{2+\displaystyle\frac{1}{4}}}}$.

**Problem 2.** Answer. Option a: $5\displaystyle\frac{1}{10}$.

**Problem 3.** Answer: Option b. 2984.

**Problem 4.** Answer: Option d: $2$.

**Problem 5.** Answer: Option d: $-\displaystyle\frac{16}{19}$.

**Problem 6.** Answer: Option a: $2$.

**Problem 7.** Answer: Option c: $4\displaystyle\frac{1}{6}$.

**Problem 8.** Answer: Option a: 1.

**Problem 9.** Answer. Option a: $37\displaystyle\frac{1}{2}$.

**Problem 10.** Answer: Option b: $1.6$.

**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 may also like to go through the **Fraction, decimals, indices and surds related articles** directly by referring to the following articles.

### Concept tutorials on Fractions, Surds, decimals, indices 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, decimals, indices, surds 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 Solution set 70 on fractions and surds 6**

**SSC CGL level Question set 70 on fractions and surds 6**

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

**SSC CGL level Question 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**