SSC CGL MATHS QUIZ

Attempt now to get your rank among 83 students!

Question 1:

If $8 a^{3}+b^{3}=16$ and $2 a+b=4$, then find the value of $16 a^{4}+b^{4}$

Question 2:

If $x^{2}-3 x+1=0$ then what is the value of $x^{2}+x+(1 / x)+\left(1 / x^{2}\right)$ ?

Question 3:

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

Question 4:

If $x^{2}+\frac{1}{x^{2}}=23$ , then the value of ${x}^{4}+\frac{1}{x^{4 }}$ is:

Question 5:

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

Question 6:

Simplify the following expression:
$ \frac{\left(a^2-4 b^2\right)^3+64\left(b^2-4 c^2\right)^3+\left(16 c^2-a^2\right)^3}{(a-2 b)^3+(2 b-4 c)^3+(4 c-a)^3}$

Question 7:

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

Question 8:

If $a+b+c=6, a^2+b^2+c^2=32$, and $a^3+b^3+c^3=189$, then the value of $a b c-3$ is:

Question 9:

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 $\frac{1}{2}\left(\sqrt{A^{2}+B^{2}}\right) ?$

Question 10:

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

serach-testwale
x