As the police officer was found guilty of embezzlement, he was __________ dismissed from the service in accordance with the Service Rules. Select the most appropriate option to complete the above sentence.

The sum of the following infinite series is:

$$ \frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}+\frac{1}{5!}+\ldots $$

A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame to form the cube?

The figures, I, II and III are parts of a sequence. Which one of the following options comes next in the sequence is IV?