* SUST Admission Test 2017-2018

1. With reaction of which one with ethanolic $\mathrm{KOH}$, only an alkene is produced?

2. "valley of death" is usually referred to as a-

3. The position vector of a particle is $\overrightarrow{\mathrm{r}}=\mathrm{t}^{2} \hat{\mathrm{i}}+\left(\mathrm{t}^{2}+1\right) \hat{\mathrm{j}}+2 \mathrm{t} \hat{k}, \overrightarrow{\mathrm{r}}$ is expressed in meter $(\mathrm{m})$ and $\mathrm{t}$ in second $(\mathrm{s})$, what $\mathrm{ms}^{-2}$ is the magnitude of the acceleration?

4. How many unit is the intercept from $x$ axis by straight line $r \cos \left(\frac{\pi}{4}-\theta\right)=6 ?$

5. If 0 < x < $\frac{1}{a}$ then what is the value of $\lim _{x \rightarrow 0}(1+a x)^{\frac{(b x+c)}{x}}$ ?