Arun Sharma Solutions for Exercise 1: Review Test

It is given that, $\left(a^{n-3}+a^{n-5}{b}^2+...+b^{n-3}\right)pq=0$ where $p$ and $q\ne 0$ and $n$ is odd then $\frac{\left(a^n-b^n\right)\left(a+b\right)}{\left(a^n+b^n\right)\left(a-b\right)}=?$

If $f=\frac{1}{{\log }_2\mathrm{\pi }}+\frac{1}{{\log }_{4.5}\mathrm{\pi }}$, which of the following is true?

If $px+qy>rx+sy$ and $y,x,p,q,r,s>0$ and if $x<y,$ then which of the following must be true?

If $p^a=q^b=r^c$ and $\frac{p}{q}=\frac{q}{r}, \left(\frac{1}{a}+\frac{1}{c}\right)b=?$

What could be the equation of following curve?

If $x$ and $y\ge 1$ and belongs to the set of integers then which of the following is true about the function ${\left(xy\right)}^n$?

If $f\left(a,b\right)=$ Remainder left upon division of $b$ by $a$, then the maximum value for $f\left(f\left(a,b\right),f\left(a+1,b+1\right)\right)\times f\left(f\left(a,b\right),0\right)$ is .....$\left(b\text{ and} a \text{are co-primes}\right)$