SSC CGL MOST PROBABLE -ALGEBRA QUIZ-16

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Question 1:

If $\left(5 \sqrt{5} x^{3}-3 \sqrt{3} y^{3}\right) \div(\sqrt{5} x-\sqrt{3} y)=\left(A x^{2}+B y^{2}+C x y\right)$, then the value of $(3 A-B-\sqrt{15} C)$.

Question 2:

If $p=\frac{\sqrt{3 q+2}+\sqrt{3 q-2}}{\sqrt{3 q+2}-\sqrt{3 q-2}}$ then what is the value of $p^{2}-3 p q+2 ?$

Question 3:

If $(x+y)^{3}+27(x-y)^{3}=(4 x+A y)\left(7 x^{2}+B x y+C y^{2})\right.$ then the value of $A+B+2 C$ is:

Question 4:

IF $\mathrm{P}=\frac{x^{4}-8 x}{x^{3}-x^{2}-2 x}, \mathrm{Q}=\frac{x^{2}+2 x+1}{x^{2}-4 x-5}$ and $R=\frac{2 x^{2}+4 x+8}{x-5}$, then $(P \times Q) \div R$ is equal to:

Question 5:

If $a+b+c=7$ and $a b+b c+c a=-6$ then the value of $a^{3}+b^{3}+c^{3}-3 a b c$ is:

Question 6:

If $30 x^{2}-15 x+1=0$, then what is the value of $25 x^{2}+\left(36 x^{2}\right)^{-1}$.

Question 7:

If $x+\frac{1}{x}=5$, the value of $x^{5}+\frac{1}{x^{5}}$ is

Question 8:

if $(a-1)^{2}+(b+2)^{2}+(c-1)^{2}=0$ then find $2 a$ $-3 b+7 c$.

Question 9:

If $x^{4}+x^{2} y^{2}+y^{4}=28$ and $x^{2}+x y+y^{2}=7$, then the value of $\left(\frac{1}{x^{2}}+\frac{1}{y^{2}}\right)$.

Question 10:

If $(2 x+3 y+4)(2 x+3 y-5)$ is equal to $\left(a x^{2}+\right.$ by $\left.^{2}+2 \mathrm{~h} x \mathrm{y}+2 \mathrm{~g} x+2 \mathrm{fy}+\mathrm{c}\right)$, then what is the value of $\left\{\frac{(g+f-c)}{a b h}\right\}$ ?

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