SSC CGL level Question Set 17, Fractions Decimals and Surds

Surds decimals and fractions questions practice set for Competitive exams SSC CGL

10 surds decimals and fractions questions for competitive exams SSC CGL with answers. Take the timed test, verify from answers and learn from solutions.

It's a mixed set of questions on surds, fractions, and decimals including decimal bars that will challenge you.

For best results try to complete the test in 12 minutes' time, score your efforts on the scoring rule of correct answer 1 and incorrect negative 0.5 and learn how to solve the questions quickly from the paired solution set.

Important: if you take the test you must go through the solutions carefully.

Answers and link to the solutions are at the end.

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10 Surds decimals and fractions questions for SSC CGL Set 17 - time 12 mins

Q1.

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

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

Q2.

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,

1. $\displaystyle\frac{1}{9}$
2. $\sqrt{2}\displaystyle\frac{2}{27}$
3. $\displaystyle\frac{6}{55}$
4. $\displaystyle\frac{5}{27}$

Q3.

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

1. $2.64$
2. $2.\overline{64}$
3. $2.60$
4. $2.\overline{61}$

Q4.

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

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

Q5.

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

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

1. 2
2. 3
3. 4
4. 5

Q6.

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

1. 16000
2. 1060
3. 60100
4. 10600

Q7.

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

1. 0.1
2. 0.6
3. 0.05
4. 0.06

Q8.

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

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

Q9.

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

1. 30.27
2. 30.097
3. 30.197
4. 30.297

Q10.

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

1. $0$
2. $1$
3. $8$
4. $\sqrt{2}$ 

Answers to the 10 Surds decimals and fractions questions for SSC CGL Set 17

Q1. Answer: Option a: $\sqrt{3} + 2\sqrt{2}$.

Q2. Answer: Option a : $\displaystyle\frac{6}{55}$.

Q3. Answer: Option b: $2.\overline{64}$.

Q4. Answer: Option a: $5$.

Q5. Answer: Option d: 5.

Q6. Answer: Option d : 10600.

Q7. Answer: Option c: 0.05.

Q8. Answer: Option b: $\displaystyle\frac{\sqrt{6}}{2}$.

Q9. Answer: Option d: 30.297.

Q10. Answer: Option a: 0.

Learn how to solve these questions quickly using basic concepts and problem solving techniques from the paired solution set,

SSC CGL Solution set 17 on Surds Decimals Fractions.

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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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