Correct option is B
The correct option to fill in the blank is (b) no article.
Explanation: Hope is an abstract, uncountable noun when used in a general sense. After negative-polarity adverbs like scarcely, a zero article is natural: “There was scarcely hope left …” conveys near absence in a generic way. Although many writers add “any” (scarcely any hope), the article itself is not required before an uncountable noun used generally. (Hindi: आशा, अमूर्त संज्ञा)
Example: After the third failure, there was scarcely hope of success.
Why other options are incorrect:
· (a) a — a hope treats hope as countable; idiomatic use needs a unit noun (a glimmer/trace of hope), not bare a hope.
· (c) an — wrong both phonologically (hope starts with a consonant sound /h/) and by countability.
· (d) the — the hope specifies a particular, previously identified hope; the sentence refers to hope in general.
Information booster (Articles & uncountables):
Uncountable abstract nouns (e.g., hope, patience, courage) typically take no article when used in a general sense: Courage is admirable. With a partitive, they can become countable: a piece of advice, a glimmer of hope.