DELHI POLICE HEAD CONSTABLE (ALGEBRA) QUANT QUIZ-1

If $9a^2+b^2=145$ and $ab=4(a>b,a>0,b>0)$ then the value of $(3a-b)$ is:

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

If $a-b=13$ and $ab=19$, then the value of $a^2-$ ${\mathrm{b}}^2$ is?

If $a-b=12$ and $ab=50$ then the value of $(a+$ b) ${}^2$ ?

What is the value of $a^3+b^3+c^3-3abc$, when $a=95,b=96$ and $c=97$.

If $a^3+b^3=218$ and $a+b=2$, then the value of $ab$ is:

If $a+b=12$ and $a^3+b^3=600$ then the value of $\frac{ab}{a+b}?$

If a : b = 5 : 3  and a-b=2 then value of a + b is -

If $a^3+b^3=218$ and $a+b=2$, then the value of $\frac{1}{a^3}+\frac{1}{b^3}$ is?

If $(5x+2y):(10x+3y)=5:9$, then $(2x^2+3y^2):(4x^2+9y^2)=$ ?