# BIHAR CGL PRE ALGEBRA QUIZ - 20

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## Question 1:

If $x=16$ then, $x^{4}-17 x^{3}+17 x^{2}-17 x+17=$ ?

## Question 2:

Find the value of equation:

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

## Question 3:

If $x^{2}-8 x+1=0$, then the value of $x^{4}+\frac{1}{x^{4}}$ is:

## Question 4:

If $x^{4}+\frac{1}{x^{4}}=47$, then the value of $x+\frac{1}{x}$ is :

## Question 5:

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

## Question 6:

If $a=\frac{1}{a-5}(a>0)$ then the value of $a-5+\frac{1}{a-5}$ is

## Question 7:

If $2 x^{2}-6 x=1$, then $x^{2}+\frac{1}{4 x^{2}}=?$

## Question 8:

What is the value of the expression?

$\frac{(a-b)^{3}+(b-c)^{3}+(c-a)^{3}}{3(a-b)(b-c)(c-a)}=\text { ? }$

## Question 9:

If $(a+b+c)=0$ and $(a b c)=12$, then what is the value of $\left(a^{3}+b^{3}+c^{3}\right) ?$

## Question 10:

If $x+y=15$ and $x y=45$, then what is the value of $x^{2}+y^{2}$?