SSC CPO QUANT (ALGEBRA) QUIZ

Attempt now to get your rank among 45 students!

Question 1:

If $\frac{(98+45)^{2}+(98-45)^{2}}{2}$ then the value of $a^{2}+b^{2}$ is :

Question 2:

Find the value of equation:

$\frac{(898+227)^{2}-(898-227)^{2}}{1796 \times 454}$

Question 3:

If $\frac{x^{2}-x+1}{x^{2}+x+1}=\frac{5}{9}$ then what will be the value of $\mathrm{x}+\frac{1}{\mathrm{x}} ?$

Question 4:

If $x^{4}+\frac{1}{x^{4}}=727$, then find the value of $x^{3}-\frac{1}{x^{3}}$

Question 5:

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

Question 6:

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

Question 7:

If $a+\frac{1}{a}=8$, then $a^{3}+\frac{1}{a^{3}}=$ ?

Question 8:

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

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

Question 10:

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