SSC CHSL MATHS QUIZ

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Question 1:

If $\sqrt{x}+\frac{1}{\sqrt{x}}=\sqrt{19}$, then value of $x \sqrt{x}+\frac{1}{x \sqrt{x}}$ ?

Question 2:

$x=-4, y=13, z=-9$, then $x^{3}+y^{3}+z^{3}=?$

Question 3:

If $x^{2}+\frac{1}{x^{2}}=167$ ( $x>0$ ), then the value of $x^{3}+\frac{1}{x^{3}}$ is

Question 4:

If $a=\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}$ and $b=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$ then $\frac{a^{2}}{b}+\frac{b^{2}}{a}$

Question 5:

If $x+2 y=12$ and $2 x y=11$, then $(x-2y)$ is equal to:

Question 6:

If $a^{2}+b^{2}+c^{2}=2(a-b-c)-3$, then the value of $2 a-3 b+4 c$ is:

Question 7:

If $a^{3}+b^{3}=450$ and $a+b=18$ then find the value of $\sqrt{(a+b)^{2}-3 a b}$ ?

Question 8:

If $a+\frac{1}{a}=4$ then find the value of $\left(a^{4}+\frac{1}{a^{4}}\right)$ is equal to:

Question 9:

If $a+b+c=0$, then $(\frac{12 a^{2}}{b c}+\frac{12 b^{2}}{c a}+\frac{12 c^{2}}{a b})$ is equal to:

Question 10:

If $x-\mathrm{y}=3$ and $x^{3}-\mathrm{y}^{3}=243$, then the value of $\left(x^{2}-\mathrm{y}^{2}\right)$ ?