SSC MTS MATHS QUIZ

Question 1:

If $(4 x+2 y)^{3}+(4 x-2 y)^{3}=16\left(A x^{3}+B x y^{2}\right)$, then what is the value of $\frac{1}{2}\left(\sqrt{A^{2}+B^{2}}\right) ?$

7

8

3

5

Question 2:

If $a^{2}+b^{2}=25, x^{2}+y^{2}=17$ and $a x+b y=8$, then what is the value of $(ay -b x )$?

25

21

19

33

Question 3:

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 4:

If $y-\frac{y-1}{2}=1-\frac{y-2}{3}$; then what is the value of $\frac{5 y+7}{2}$ ?

$3 \frac{1}{2}$

$8 \frac{1}{2}$

6

7

Question 5:

If $a^2+b^2+64 c^2+18=2(b-32 c-a)$, then the value of $(a+b-8 c)$ is:

6

4

8

7

Question 6:

If $x^4+\frac{1}{x^4}=47$, what is the value of $\left(x^7+\frac{1}{x^7}\right)$ ?

$743$

$845$

$843$

$836$

Question 7:

If $\frac{x^{2}}{b y+c z}=\frac{y^{2}}{c z+a x}=\frac{z^{2}}{a x+b y}=1$, then the value of $\frac{a}{a+x}+\frac{b}{b+y}+\frac{c}{c+z}$ is:

1

0

2

3

Question 8:

If $\mathrm{x}+\mathrm{y}+\mathrm{z}=6, \mathrm{xyz}=10$ and $x^{2}+y^{2}+z^{2}=30$, then what is the value of $\left(x^{3}+y^{3}+z^{3}\right)$ ?

$132$

$192$

$146$

$182$

Question 9:

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

$12$

$14$

$18$

$16$

Question 10:

If $\frac{a^2+b^2+c^2-1024}{a b-b c-c a}=-2$ and $a+b=5 c$, where $c>0$, then the value of $c$ is

8

$4$