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.
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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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