SSC MTS MATHS QUIZ

Question 1:

If $1.5 \mathrm{a}=0.2 \mathrm{~b}$, then what will be the value of $\frac{(3 a-5 b)}{(3 a+5 b)}-\frac{4}{27} ?$

1

$-1$

2

$-2$

Question 2:

If $X+Y=3, X Y=2$, then find the value of $X^{3}-Y^{3}$.

5

7

3

9

Question 3:

If $a+\frac{1}{a}=-\sqrt{3}$, find the value of $a^{3}+\frac{1}{a^{3}}$.

0

$-6 \sqrt{3}$

$-3 \sqrt{3}$

$6 \sqrt{3}$

Question 4:

If $a$ is positive and $a^{2}+\frac{1}{a^{2}}=7$, then find $a^{3}+\frac{1}{a^{3}}$.

21

$3 \sqrt{7}$

18

$7 \sqrt{7}$

Question 5:

x+y+z = 11 , xy+yz+zx =41 then what is the value of $x^2 + y^2 + z^2$ = ?

17

18.5

39

20

Question 6:

If $x+y+3=0$, then find the value of $x^3+y^3-9 x y+9$

-18

-36

18

36

Question 7:

If $x=4+\sqrt{15}$, what is the value of $\left(x^2+\frac{1}{x^2}\right)$ ?

48

54

72

62

Question 8:

If $\left(0.4 x+\frac{1}{x}\right)=5$, what is the value of $\left(0.064 x^3+\frac{1}{x^3}\right) ?$

125

110

119

105

Question 9:

If $a+b=3$ and $a^2+b^2=89$, then What is the value of $\frac{1}{a}+\frac{1}{b}$ ?

$\frac{3}{20}$

$-\frac{3}{40}$

$-\frac{1}{4}$

$\frac{1}{8}$

Question 10:

If $x+\frac{1}{x}=3$ and $x^{2}+\frac{1}{x^{3}}=9$ Find the value of $x^{3}+\frac{1}{x^{2}}$?

$12$

$14$

$18$

$16$