I is incorrect; the indefinite article "a" must not be followed by the superlative degree of adjective. The sentence indicates that a comparison is being carried out between consulting the HR and approaching the boss. In case of comparisons, comparative degree of adjective must be used. Thus, "safest" must be replaced by "safer" to rectify the error in the sentence. 
II is incorrect; the definite article "the" must be followed by a noun/noun phrase, but "central" is an adjective. "Central" must be replaced by "centre" to rectify the error in the sentence.
V is incorrect; "is" must be followed by the participle form of the verb, which is not the case here. "Happen" is the base form of the verb and must be "happening" indicating present continuous tense. This indicates that the phenomenon is underway currently, all over the world. 
III and IV are correct. Hence, e) is the correct answer. 
NOTE/-
Participle: A word formed from a verb (e.g. going, gone, being, been) and used as an adjective (e.g. working woman, burnt toast) or a noun (e.g. good breeding). In English participles are also used to make compound verb forms (e.g. is going, has been). Consider the sentences given below: Dancing at the party, the women fell on the ground. Encouraged by her parents, Rita went on to pursue her passion. The highlighted word in the first sentence is of the form Verb + ing and is used as a present participle. It is used to denote an action that is going on or incomplete or imperfect. The highlighted word in the second sentence is of the form verb + ed. It is used as a past participle. It denotes completed action or state of the thing spoken of. A past participle ends with the following: -ed, -d, -t, -en, or -n. One should take great care and never get confused between a gerund and present participle. They use the same forms but perform different functions: a gerund is a verbal noun, while a present participle is a verbal adjective.