CDS MATHEMATICS QUIZ 9

Question 1:

If $24^{\sqrt[3]{a}}+10^{\sqrt[3]{a}}=26^{\sqrt[3]{a}}$, then find the value of $a^{2}-a$.

64

56

25

36

Question 2:

The square root of $33-4 \sqrt{35}$ is :

$\mathrm{} \pm(2 \sqrt{7}-\sqrt{5})$

$\mathrm{} \pm(\sqrt{7}+2 \sqrt{5})$

$\mathrm{} \pm(\sqrt{7}-2 \sqrt{5})$

$\mathrm{} \pm(2 \sqrt{7}+\sqrt{5})$

Question 3:

The greatest number among $\sqrt{5}, \sqrt[3]{4}, \sqrt[5]{2}, \sqrt[7]{3}$ is?

$\sqrt[3]{4}$

$\sqrt[7]{3}$

$\sqrt{5}$

$\sqrt[5]{2}$

Question 4:

If $x^{x^{1.5}}=\left(x^{1.5}\right)^{x} ;$ then find the value of $\sqrt{\sqrt{x}-0.5}$

0

1

1.5

2.5

Question 5:

What is the value of $\frac{\sqrt{192}+\sqrt{320}}{\sqrt{108}+\sqrt{180}}$ ?

$\mathrm{} \frac{3}{4}$

$\mathrm{} \frac{5}{4}$

$\mathrm{} \frac{4}{3}$

$\mathrm{} 2$

Question 6:

If $a=3, b=12, c=10$; then the value of $\sqrt{13+a}+\sqrt{112-b}+\sqrt{c-1}$ is

10

17

15

16

Question 7:

If $5^{x-2 y}=625$ and $7^{x-3 y}=343$, then find the value of $x-y$.

9

5

8

7

Question 8:

if $\frac{2+\sqrt{3}}{2-\sqrt{3}}+\frac{2-\sqrt{3}}{2+\sqrt{3}}+\frac{\sqrt{3}+1}{\sqrt{3}-1}=a+b \sqrt{3}$ then find the value of $a$.

16

4

2

3

Question 9:

If $\sqrt{\sqrt{6 \sqrt{6 \sqrt{6 \sqrt{6 \ldots \cdots}}}}}=(216)^{y-1} ;$ then $y$ is equal to

$2 / 3$

1

$4 / 3$

$3 / 4$

Question 10:

If $x=\sqrt[3]{x^{2}+5}-2$, then the value of $x^{3}+5 x^{2}+12 x$ is-

0

3

7

-3