Surds and Indices Questions Set 7 SSC CGL 73

Submitted by Atanu Chaudhuri on Mon, 06/08/2018 - 02:53

Surd and Indices Questions Set 7 SSC CGL 73rd

Surds and Indices Questions Set 7 and 73rd for SSC CGL

Surds and indices questions for SSC CGL in this 7th set have a number of difficult questions. Use Surds problem solving techniques to solve the questions.

This 73rd question set for SSC CGL may be used for any competitive exam.

Take the timed test and score your performance from the answers at the end.

If you need, clear your doubts from the solutions. Link given at the end.

7th Set of Surds and Indices Questions 73rd for SSC CGL - answering time 15 mins

Problem 1.

The value of $\displaystyle\frac{3\sqrt{2}-2\sqrt{3}}{3\sqrt{2}+2\sqrt{3}}+\displaystyle\frac{\sqrt{12}}{\sqrt{3}-\sqrt{2}}$ is,

$11$
$-12$
$12$
$-11$

Problem 2.

Value of $\displaystyle\frac{\sqrt{5}+\sqrt{3}}{\sqrt{80}+\sqrt{48}-\sqrt{45}-\sqrt{27}}$ is,

$-2$
$-1$
$2$
$1$

Problem 3.

Simplify $\displaystyle\frac{6}{2\sqrt{3}-\sqrt{6}}+\displaystyle\frac{\sqrt{6}}{\sqrt{3}+\sqrt{2}}-\displaystyle\frac{4\sqrt{3}}{\sqrt{6}-\sqrt{2}}$ is,

$1$
$2$
$0$
$-1$

Problem 4.

Simplify $\displaystyle\frac{4\sqrt{18}}{\sqrt{12}}-\displaystyle\frac{8\sqrt{75}}{\sqrt{32}}+\displaystyle\frac{9\sqrt{2}}{\sqrt{3}}$.

$2$
$0$
$-1$
$1$

Problem 5.

Value of

$\displaystyle\frac{1}{1+\sqrt{2}}+\displaystyle\frac{1}{\sqrt{2}+\sqrt{3}}+\displaystyle\frac{1}{\sqrt{3}+\sqrt{4}}$

$+\displaystyle\frac{1}{\sqrt{4}+\sqrt{5}}+\displaystyle\frac{1}{\sqrt{5}+\sqrt{6}}+\displaystyle\frac{1}{\sqrt{6}+\sqrt{7}}$

$+\displaystyle\frac{1}{\sqrt{7}+\sqrt{8}}+\displaystyle\frac{1}{\sqrt{8}+\sqrt{9}}$ is,

$0$
$-2$
$2$
$1$

Problem 6.

If $a=\displaystyle\frac{1}{3+2\sqrt{2}}$ and $b=\displaystyle\frac{1}{3-2\sqrt{2}}$, the value of $a^2b +ab^2$ is,

$-5$
$6$
$-6$
$5$

Problem 7.

If $x=\displaystyle\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}$ and $y=\displaystyle\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$, the value of $x^3+y^3$ is,

Problem 8.

If $x=\sqrt{\displaystyle\frac{5+2\sqrt{6}}{5-2\sqrt{6}}}$ find the value of $x^2(x-10)^2$,

$-1$
$-2$
$1$
$2$

Problem 9.

Arrange $3^{34}$, $2^{51}$, and $7^{17}$ in decending order of decreasing values,

$3^{34}$ > $2^{51}$ > $7^{17}$
$2^{51}$ > $3^{34}$ > $7^{17}$
$3^{34}$ > $7^{17}$ > $2^{51}$
$7^{17}$ > $2^{51}$ > $3^{34}$

Problem 10.

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

$3$
$11$
$13$
$17$

To clear your doubts and know how to solve these questions quickly with confidence, our solutions should a be a great help to you. Below is the link.

SSC CGL Solution Set 73 Surds and Indices 7.

Answers to the questions

Problem 1. Answer: Option a: $11$.

Problem 2. Answer. Option d: $1$.

Problem 3. Answer: Option c: $0$.

Problem 4. Answer: Option b: $0$.

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

Problem 6. Answer: Option b: $6$.

Problem 7. Answer: Option d: 970.

Problem 8. Answer: Option c: 1.

Problem 9. Answer. Option a: $3^{34}$ > $2^{51}$ > $7^{17}$.

Problem 10. Answer: Option d: 17.

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SSC CGL level Question Set 73, Surds and Indices 7