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SSC CGL level Question Set 75 Fractions decimal and indices 7

Fraction decimal questions SSC CGL Set 75

Fraction decimal questions SSC CGL Set 75

10 Selected fraction decimal questions for SSC CGL Set 75 to solve in 15 minutes. Verify correctness from answers. Learn to solve from solutions.

Contents are,

  1. Fraction questions for SSC CGL.
  2. Decimal questions for SSC CGL.
  3. Indices questions for SSC CGL.
  4. Answer to the 10 questions.

Answer and link to the solutions are at the end.

Fraction decimal questions for SSC CGL Set 75 - time to solve 15 mins

Problem 1.

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

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

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,

  1. $5\displaystyle\frac{1}{10}$
  2. $3\displaystyle\frac{1}{6}$
  3. $3\displaystyle\frac{3}{10}$
  4. $2\displaystyle\frac{1}{18}$

Problem 3.

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

  1. $2993$
  2. $2984$
  3. $3029$
  4. $2543$

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,

  1. $\displaystyle\frac{1}{2}$
  2. $4$
  3. $\displaystyle\frac{1}{4}$
  4. $2$

Problem 5.

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

  1. $\displaystyle\frac{9}{10}$
  2. $\displaystyle\frac{4}{7}$
  3. $-\displaystyle\frac{8}{17}$
  4. $-\displaystyle\frac{16}{19}$

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,

  1. $2$
  2. $\displaystyle\frac{90}{101}$
  3. $\displaystyle\frac{20}{101}$
  4. $\displaystyle\frac{100}{101}$

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 

  1. $4\displaystyle\frac{1}{2}$
  2. $\displaystyle\frac{2}{9}$
  3. $4\displaystyle\frac{1}{6}$
  4. $9\displaystyle\frac{1}{2}$

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. $1$
  2. $2$
  3. $3$
  4. $4$

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,

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

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. $1.0$
  2. $1.6$
  3. $0$
  4. $0.8$

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 fraction decimal questions SSC CGL Set 75

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: $1.6$.


Guided help on Fractions, Surds and Indices in Suresolv

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Suresolv Fractions, Surds and Indices Reading and Practice Guide for SSC CHSL, SSC CGL, SSC CGL Tier II and Other Competitive exams.

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