Which of the following products can be obtained from the above reaction?

The product $(B)$ of the above reaction is:

Consider the following statements:
$(1)$ Bridgehead halides are inert towards both $S_{N^1}$ and $S_{N^2}$ reactions (until one of the ring size is an eight-membered ring).
$(2)$ The first step in both $S_{N^1}$ and $E_1$ reactions is the same.
$(3)$ $S_{N^2}$ reactions proceed with total retention of configuration.
$(4)$ $E_2$ eliminations are favored by the use of a solvent of low polarity and a high concentration of a strong base.
Which of the above statements are correct?

Predict the major product of the following reaction sequence $:-$

In the given reaction,$[X]$ will be:

Which of the following compounds is a tertiary alkyl halide?