SSC CPO QUANT QUIZ (ALGEBERA) QUIZ

Question 1:

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

429

629

527

526

Question 2:

If $\frac{2 a}{a^{2}-2 a+1}=\frac{1}{2}$ then the value of $a+\frac{1}{a}$ is-

$\frac{2}{5}$

7

10

6

Question 3:

If $(2 a+4 b):(a+3 b)=9: 5$, then $(a+b):(a-b)$ is equal to:

$3: 4$

$4: 3$

$3: 2$

$2: 3$

Question 4:

Find the value of equation:

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

4

2

1

5

Question 5:

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

3976

3697

3796

3842

Question 6:

If $4 x+\frac{1}{9 x}=12$ , then find the value of $64 x^{3}+\frac{1}{729 x^{3}}$.

1714

1712

1720

1725

Question 7:

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

5

7

3

9

Question 8:

What to add to $\frac{2}{x-1}$ to get $\frac{x^{2}+2 x+1}{x^{2}-1}$?

$\frac{-1}{x-1}$

1

$\frac{-1}{x^{2}-1}$

$\frac{1}{x-1}$

Question 9:

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

170

135

225

240

Question 10:

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

536

512

488

480