SSC CGL MAINS MATHS QUIZ

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Question 1:

If $a+b+c=21$ and $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=9$ then find the value of $\frac{a}{b}+\frac{b}{c}+\frac{c}{b}+\frac{b}{a}+\frac{c}{a}+\frac{a}{c}$.

Question 2:

If $x^{4}+x^{2} y^{2}+y^{4}=3441$ and $x^{2}-x y+y^{2}=37$ then find the value of $x+y+x y$ 

Question 3:

If $(2 x-1)^{3}+(3 x-5)^{3}+(x-6)^{3}=3(2 x-1)(3 x-5)$ $(x-6)$ then find the value of x.

Question 4:

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

Question 5:

If $y+\frac{1}{y-8}=13$ then find the value of $(y-8)^{2}+\frac{1}{(y-8)^{2}}$.

Question 6:

If $\frac{a}{b}+\frac{b}{a}=5$ then what will be the value of $\frac{a^{4}}{b^{4}}+\frac{b^{4}}{a^{4}} ?$

Question 7:

If $x^{2}-12 x+33=0$, then what is the value of $(x-4)^{4}+\frac{1}{(x-4)^{4}}$.

Question 8:

If $a^{2}+b^{2}=25, x^{2}+y^{2}=17$ and $a x+b y=8$, then what is the value of $(ay -b x )$?

Question 9:

If $ x y+y z+z x=x y z $ then find the value of $\frac{y+z}{yz(x-1)}+\frac{z+x}{z x(y-1)}$ $+\frac{x+y}{x y(z-1)}$.

Question 10:

If $a+b+c=14$ and $a b+b c+c a=6$ then find the value of $a b(a+b)+b c(b+c)$ $+c a(c+a)+3 a b c$?