SSC CGL level Question Set 60, Fractions indices and surds 4

Surds and indices Square root questions for SSC CGL set 60

10 Surds and Indices Square root Questions in SSC CGL Set 60 to be solved in 12 minutes. Verify correctness from answers.

Contents are,

1. Surd and indices questions.
2. Sure root questions.
3. Answers to the 10 selected questions.

Link to the solutions is at the end.

---

10 questions on surds and indices square roots for SSC CGL set 60 - time to solve 12 mins

Problem 1.

The sum of cubes of the numbers $22$, $-15$ and $-7$ is equal to,

1. 3
2. 9630
3. 0
4. 6930

Problem 2.

Which of the following is the correct relation?

1. $\sqrt{5}+\sqrt{3} \lt \sqrt{6}+\sqrt{2}$
2. $\sqrt{5}+\sqrt{3} = \sqrt{6}+\sqrt{2}$
3. $\sqrt{5}+\sqrt{3} \gt \sqrt{6}+\sqrt{2}$
4. $\left(\sqrt{5}+\sqrt{3}\right)\left(\sqrt{6}+\sqrt{2}\right)=1$

Problem 3.

$\sqrt[3]{(333)^3+(333)^3+(334)^3-3\times{333}\times{333}\times{334}}$ is closest to,

1. 11
2. 10
3. 12
4. 15

Problem 4.

The value of $\sqrt{0.00060516}$ is equal to,

1. 0.246
2. 0.0246
3. 0.00246
4. 0.000246

Problem 5.

The value of $(3+2\sqrt{2})^{-3}+(3-2\sqrt{2})^{-3}$ is,

1. 108
2. 189
3. 180
4. 198

Problem 6.

$4^{61}+4^{62}+4^{63}+4^{64}$ is always divisible by,

1. 3
2. 11
3. 13
4. 17

Problem 7.

The value of $\sqrt{30+\sqrt{30+\sqrt{30+...}}}$ is,

1. 6
2. 5
3. 7
4. $3\sqrt{10}$

Problem 8.

The value of $\sqrt{2\sqrt[3]{4\sqrt{2\sqrt[3]{4...}}}}$ is,

1. $2$
2. $2^3$
3. $2^5$
4. $2^2$

Problem 9.

The number which when multiplied with $(\sqrt{3}+\sqrt{2})$ gives $(\sqrt{12}+\sqrt{18})$ is,

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

Problem 10.

When it is given that $\sqrt{3}=1.732$, the value of $\displaystyle\frac{3+\sqrt{6}}{5\sqrt{3}-2\sqrt{12}-\sqrt{32}+\sqrt{50}}$ is,

1. 1.414
2. 1.732
3. 2.551
4. 4.899

---

For detailed solutions, refer to the companion solution set to this question sets at SSC CGL level Solution Set 60 on fractions indices and surds 4.

Answers to the surds and indices and square root questions SSC CGL set 60

Problem 1. Answer: Option d: 6930.

Problem 2. Answer: Option c: $\sqrt{5}+\sqrt{3} \gt \sqrt{6}+\sqrt{2}$.

Problem 3. Answer: Option b: 10.

Problem 4. Answer: Option b: 0.0246.

Problem 5. Answer: Option d: 198.

Problem 6. Answer: Option d: 17.

Problem 7. Answer: Option a: 6.

Problem 8. Answer: Option a: 2.

Problem 9. Answer: Option b: $\sqrt{6}$.

Problem 10. Answer: Option b: 1.732.

---

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​ and relevant topics in Suresolv and is up-to-date.

---