SSC CHSL MATHS QUIZ

Question 1:

If$\frac{1}{1 \times 2}+\frac{1}{2 \times 3}+\frac{1}{3 \times 4}+\cdots+\frac{1}{n(n+1)}=\frac{99}{100}$then what is the value of $n$ ?

98

99

100

101

Question 2:

If $p=\sqrt{72-\sqrt{72-\sqrt{72 \ldots \ldots \infty}}}$, then find the value of $p^{2}-4$.

$-85$

$-60$

$60$

$77$

Question 3:

if $(\sqrt{3})^{7} \div(\sqrt{3})^{5}=3^{p}$ then the value of $p$ is:

3

2

4

1

Question 4:

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 5:

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

0

3

7

-3

Question 6:

The simplified form of $(36)^{\frac{3}{2}}+(196)^{\frac{1}{2}}$ is:

230

220

240

210

Question 7:

The value of $x=\sqrt{12+\sqrt{12+\sqrt{12+\cdots \ldots \infty}}}$ is :

3

5

4

2

Question 8:

If $3^{a}=9^{b}=27^{c}$ and $a b c=288$ find the value of $\frac{1}{3 a}+\frac{1}{5 b}+\frac{1}{7 c}$

$\frac{630}{61}$

$\frac{61}{270}$

$\frac{61}{630}$

$\frac{270}{61}$

Question 9:

Which of the following relation is correct

$A=\sqrt[3]{2}, B=\sqrt{3}, C=\sqrt[4]{4}$

$B > A=C$

$B < A=C$

$B > C > A$

$B < C < A$

Question 10:

Arrange the following in the descending order:

$\sqrt[3]{4}, \sqrt{2}, \sqrt[6]{3}, \sqrt[4]{5}$

$\sqrt[3]{4}>\sqrt[4]{5}>\sqrt{2}>\sqrt[6]{3}$

$\sqrt[4]{5}>\sqrt[3]{4}>\sqrt[6]{3}>\sqrt{2}$

$\sqrt{2}>\sqrt[6]{3}>\sqrt[3]{4}>\sqrt[4]{5}$

$\sqrt[6]{3}>\sqrt[4]{5}>\sqrt[3]{4}>\sqrt{2}$