Cyclopentene on treatment with alkaline $KMnO_4$ gives

In organic reactions, sodium in liquid ammonia is used as:

Identify $Z$ in the following reaction series: $CH_3-CH_2-CH_2-Br$ $\xrightarrow{NaOH(aq.)} (X)$ $\xrightarrow[Heat]{Al_2O_3} (Y)$ $\xrightarrow{HOCl} (Z)$

The compounds that will give an isomer of $2,2$-dimethylpropane on catalytic hydrogenation are:
$(1)$ $CH_3-CH=C(CH_3)_2$
$(2)$ $CH_3-CH=CH-CH_3$
$(3)$ $CH_3-CH=CH-CH_2-CH_3$
$(4)$ $CH_3-C(CH_3)=C(CH_3)-CH_3$

The addition of $HI$ in the presence of peroxide catalyst does not follow anti-Markovnikov's rule because

Identify $X, Y$ and $Z$ in the following reactions: