'A' is used before unspecific/general nouns that begin with a consonant sound. Here, 'job' and 'bank' are unspecific ones. Hence, option C is correct.
Had re been only one particular bank in Manchester, we would have used '' in second blank. However, it is unlikely that re would be only one bank.

Definite article '' is used as an adverb before comparative degree. 'More dangerous' is comparative degree.

In first blank, article "a" will be used as a "man" is a general term.
In second blank, article "" will be used because it is same bar, y are referring to something specific.
Similarly, In third blank, article "" will be used because (same time) something specific has been mentioned.
In fourth blank, no article will be used as it is Definite that re are two glasses of soda. And no article is used before noun + number.

In first blank, article "a" will be used as it is written 'American Polar Traveller' and it is a general noun.
In second blank, article "" will be used because article "" is used when with ordinals such as "first", "second" etc and it is given that 'he was () first to reach.'
Similarly, 'North Pole' is a proper noun (something unique). Therefore, in third blank, article "" will be used.

Here, sentence talks about 'cup of tea' as general. Since we are referring to general things, we need to use indefinite article 'a'.

Both 'way' and 'railway station' are specific in sentence. Hence, '' article will be used.

Use 'an' before words such as "hour" which sound like y start with a vowel even if first letter is a consonant. Also use 'an' before letters and numbers which sound like y begin with a vowel, such as "F" or "8". Here H.B.A begins with a vowel sound and refore 'an' article will be used.

Indefinite article is used with positive adjectives. Word after both blanks starts without vowel sound. 'A' article will be used.

The first and last blank shall take '' as 'Swiss Alps' represents a specific group/ chain of mountains and 'winter months' represents a specific time. The second blank shall take 'a' as sentence talks about a particular place. The third and fourth blank won't take any article as 'skiing' is name of an activity and 'snow' is an uncountable noun.

Accuracy is talked about generally so re won't come any article in first blank while in second blank, '' shall be used because we are talking about accuracy of John's calculations.