## Question set on SSC CGL quantitative aptitude square roots surds fractions

Solve 10 questions in SSC CGL quantitative aptitude square roots surds fractions Set 59 in 12 minutes. Verify from answers and learn from solutions.

For best results try to solve all the 10 questions within 12 minutes' time. At the end of this period, score your efforts with 1 mark for every correct answer and minus 0.25 for every wrong one.

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### 10 questions on SSC CGL quantitative aptitude square roots surds fractions Set 59 - time to solve 12 mins

**Problem 1.**

The value of $\sqrt{32}-\sqrt{128}+\sqrt{50}$ correct to 3 decimal places is,

- 1.441
- 1.732
- 1.414
- 1.141

**Problem 2.**

The square root of $\displaystyle\frac{\left(3\displaystyle\frac{1}{4}\right)^4-\left(4\displaystyle\frac{1}{3}\right)^4}{\left(3\displaystyle\frac{1}{4}\right)^2-\left(4\displaystyle\frac{1}{3}\right)^2}$ is,

- $1\displaystyle\frac{1}{12}$
- $1\displaystyle\frac{7}{12}$
- $7\displaystyle\frac{1}{12}$
- $5\displaystyle\frac{5}{12}$

**Problem 3.**

$\sqrt{11.981+7\sqrt{1.2996}}$ is closest to,

- 4.1
- 5.1
- 4.9
- 4.5

**Problem 4.**

The digit at the unit's place in the square root of 15876 is,

- 2
- 4
- 6
- 8

**Problem 5.**

The value of $120+3 \text{ of }5\div{\left[7\times{2}\left\{10\div{5}\left(24-10\times{2}+\overline{7+3\times{10}\div{5}}\right)\right\}\right]}$ is,

- 120.03
- 116.04
- 125
- 118

#### Problem 6.

Find the value of $\displaystyle\frac{1\displaystyle\frac{7}{9}\text{ of }\displaystyle\frac{27}{64}}{\displaystyle\frac{11}{12}\times{9\displaystyle\frac{9}{11}}}\div{\displaystyle\frac{4\displaystyle\frac{4}{7}\text{ of }\displaystyle\frac{21}{160}}{2\displaystyle\frac{5}{6}\div{2\displaystyle\frac{2}{15}}}}$.

- $\displaystyle\frac{421}{2443}$
- $\displaystyle\frac{425}{2434}$
- $\displaystyle\frac{425}{2344}$
- $\displaystyle\frac{425}{2304}$

** Problem 7.**

The value of $5\displaystyle\frac{1}{2}-\left[2\displaystyle\frac{1}{3}\div{\left\{\displaystyle\frac{3}{4}-\displaystyle\frac{1}{2}\left(\displaystyle\frac{2}{3}-\overline{\displaystyle\frac{1}{6}-\displaystyle\frac{1}{8}}\right)\right\}}\right]$ is,

- $\displaystyle\frac{1}{6}$
- $\displaystyle\frac{2}{3}$
- $\displaystyle\frac{1}{2}$
- $\displaystyle\frac{1}{4}$

** Problem 8.**

The smallest number that should be added to the number 8958 so that the result is a perfect square is,

- 67
- 69
- 79
- 77

**Problem 9.**

The largest number of 5 digits which is a perfect square is,

- 99999
- 99764
- 99976
- 99856

** Problem 10.**

The simplified value of $\displaystyle\frac{3\sqrt{2}}{\sqrt{3}+\sqrt{6}}-\displaystyle\frac{4\sqrt{3}}{\sqrt{6}+\sqrt{2}}+\displaystyle\frac{\sqrt{6}}{\sqrt{3}+\sqrt{2}}$ is,

- $\sqrt{2}$
- $\sqrt{3}-\sqrt{2}$
- $0$
- $\displaystyle\frac{1}{\sqrt{2}}$

Learn how to solve the 10 square roots surds fraction questions in 12 minutes from the paired solution set,

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

### Answers to 10 questions on SSC CGL quantitative aptitude square roots surds fractions Set 59

**Q1. Answer:** c: 1.414.

**Q2. Answer:** Option d : $5\displaystyle\frac{5}{12}$.

**Q3. Answer:** Option d: 4.5.

**Q4. Answer:** c: 6.

**Q5. Answer:** Option a: 120.03.

**Q6. Answer:** Option d : $\displaystyle\frac{425}{2304}$.

**Q7. Answer:** Option a: $\displaystyle\frac{1}{6}$.

**Q8. Answer:** Option a: 67.

**Q9. Answer:** d: 99856.

**10. Answer:** Option c: 0.

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