SSC CGL level Question Set 47, Fractions decimals and surds 2 | SureSolv

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SSC CGL level Question Set 47, Fractions decimals and surds 2

47th SSC CGL level Question Set, 2nd on topic fractions, decimals and surds

SSC CGL question set 47 fractions decimals surds 2

This is the 47th question set of 10 practice problem exercise for SSC CGL exam and 2nd on topic Fractions, decimals and surds. Students must complete the question set in prescribed time first and then only refer to the corresponding solution set for extracting maximum benefits from this resource.

In MCQ test, you need to deduce the answer in shortest possible time and select the right choice.

Based on our analysis and experience we have seen that, for accurate and quick answering, the student

  • must have complete understanding of the basic concepts in the topic area
  • is adequately fast in mental math calculation
  • should try to solve each problem using the basic and rich concepts in the specific topic area and
  • does most of the deductive reasoning and calculation in his or her head rather than on paper.

Actual problem solving is done in the fourth layer. You need to use your problem solving abilities to gain an edge in competition.

Before taking up the test you should refer to our concise tutorial on Basic and rich concepts on Fractions decimals and surds part 1.

47th question set- 10 problems for SSC CGL exam: 2nd on topic Fractions, decimals and surds - time 18 mins

Problem 1.

Simplify $\displaystyle\frac{\displaystyle\frac{1}{3} + \displaystyle\frac{1}{4}\left[\displaystyle\frac{2}{5}-\displaystyle\frac{1}{2}\right]}{1\displaystyle\frac{2}{3}\text{ of } \displaystyle\frac{3}{4} - \displaystyle\frac{3}{4}\text{ of }\displaystyle\frac{4}{5}}$

  1. $\displaystyle\frac{74}{78}$
  2. $\displaystyle\frac{37}{13}$
  3. $\displaystyle\frac{37}{78}$
  4. $\displaystyle\frac{74}{13}$

Problem 2.

The value of $\displaystyle\frac{0.04}{0.03}\text { of }\displaystyle\frac{\left(3\displaystyle\frac{1}{3}-2\displaystyle\frac{1}{2}\right)\div{\displaystyle\frac{1}{2}}\text{ of }1\displaystyle\frac{1}{4}}{\displaystyle\frac{1}{3}+\displaystyle\frac{1}{5}\text{ of }\displaystyle\frac{1}{9}}$ is,

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

Problem 3.

$\sqrt{\displaystyle\frac{(6.1)^2+(61.1)^2+(611.1)^2}{(0.61)^2+(6.11)^2+(61.11)^2}}$ is equal to,

  1. 0.1
  2. 100
  3. 1.1
  4. 10

Problem 4.

$(0.\overline{1})^2\left[1-9(0.1\overline{6})^2\right]$ is equal to,

  1. $-\displaystyle\frac{1}{162}$
  2. $\displaystyle\frac{1}{109}$
  3. $\displaystyle\frac{1}{108}$
  4. $\displaystyle\frac{7696}{10^6}$

Problem 5.

The value of $\displaystyle\frac{2\displaystyle\frac{1}{3}-1\displaystyle\frac{2}{11}}{3+\displaystyle\frac{1}{3+\displaystyle\frac{1}{3+\displaystyle\frac{1}{3}}}}$ is,

  1. $\displaystyle\frac{38}{109}$
  2. $\displaystyle\frac{116}{109}$
  3. $1$
  4. $\displaystyle\frac{109}{38}$

Problem 6.

Find the value of $27\times{1.\overline{2}}\times{5.526\overline{2}}\times{0.\overline{6}}$.

  1. $121.7\overline{5}$
  2. $121.\overline{75}$
  3. $121.\overline{57}$
  4. $121.576\overline{8}$

Problem 7.

If $\displaystyle\frac{(x-\sqrt{24})(\sqrt{75}+\sqrt{50})}{\sqrt{75}-\sqrt{50}}=1$, then $x$ is,

  1. $5$
  2. $\sqrt{5}$
  3. $3\sqrt{5}$
  4. $2\sqrt{5}$

Problem 8.

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

  1. $\displaystyle\frac{1}{\sqrt{2}}$
  2. $0$
  3. $\sqrt{2}$
  4. $1$

Problem 9.

$\left[8-\left[\displaystyle\frac{4^{\frac{9}{4}}\sqrt{2.2^2}}{2\sqrt{2^{-2}}}\right]^\frac{1}{2}\right]$ is equal to,

  1. 1
  2. 32
  3. 0
  4. 8

Problem 10.

The value of $\sqrt{\displaystyle\frac{(\sqrt{12}-\sqrt{8})(\sqrt{3}+\sqrt{2})}{5+\sqrt{24}}}$ is,

  1. $\sqrt{6}-\sqrt{2}$
  2. $\sqrt{6}-2$
  3. $2-\sqrt{6}$
  4. $\sqrt{6}+\sqrt{2}$

Answers to the questions

Problem 1. Answer: c: $\displaystyle\frac{37}{78}$.

Problem 2. Answer: Option c : $5$ .

Problem 3. Answer: Option d: 10.

Problem 4. Answer: c: $\displaystyle\frac{1}{108}$.

Problem 5. Answer: Option a: $\displaystyle\frac{38}{109}$.

Problem 6. Answer: Option d : $121.576\overline{8}$.

Problem 7. Answer: Option a: $5$.

Problem 8. Answer: Option a: $\displaystyle\frac{1}{\sqrt{2}}$.

Problem 9. Answer: Option c: 0.

Problem 10. Answer: Option b:$\sqrt{6}-2$.

You may refer to the companion solution set to this question sets at SSC CGL level Solution Set 47 on fractions decimals and surds 2.

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,

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

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