RK JHA Solutions for Chapter: Data Interpretation and Quantitative Ability, Exercise 19: Crack XAT 4

If $f\left(x\right)=\frac{2^x+2^{-x}}{2}$, then $f(x+y) f(x-y)$ is equal to

If $\mathrm{f}\left(\mathrm{x}\right)=\mathrm{x}+\frac{1}{\mathrm{x}}$, then $\left[\mathrm{f}\right(\mathrm{x}){]}^3$ is equal to:

${\int }_0^{\mathrm{\pi }/4}\frac{\mathrm{xdx}}{1+\sin 2\mathrm{x}}$ is equal to:

If ${\mathrm{a}}^{\frac{1}{\mathrm{p}}}={\mathrm{b}}^{\frac{1}{\mathrm{q}}}={\mathrm{c}}^{\frac{1}{\mathrm{r}}}$ and $\mathrm{abc}=1$, then the value of $p+q+r$ is equal to:

A sales executive's commission is 5% on all sales up to Rs. 10,000 and 4% on all sales exceeding this. He remits Rs. 31,100 to his parent company after deducting his commission. His sales was worth?

If $\mathrm{y}=\mathrm{sinx}$ and x changes from $\frac{\mathrm{\pi }}{2}$ to $\frac{22}{14}$ what is the approximate change in y?

Find the approximate value of $\mathrm{f}(3.02)$, where $\mathrm{f}\left(\mathrm{x}\right)=3{\mathrm{x}}^2+5\mathrm{x}+3$.

If ${\tan }^{-1}\frac{1}{2}+{\tan }^{-1}\frac{2}{11}=\mathrm{y}$, then the value of y will be: