Insuperable

The correct answer is option 1.

Key Points

• To answer this question, let's first understand the meaning of the word given in the question:
• Insuperable: (Adjective) (of a difficulty or obstacle) impossible to overcome.
• Now, let's examine the given sentences:
• Sentence 1: The difficulties presented by the situation seemed to be insuperable.
  • This sentence correctly uses "insuperable" to describe difficulties that are impossible to overcome.
• Sentence 2: The group went insuperable for weeks during the agitation until the demands were met.
  • "Insuperable" is incorrectly used here. It's an adjective describing an obstacle, not a state of being or action for a group. The sentence might intend to say the group was "unyielding" or "persistent."
• Sentence 3: The insuperable element in the whole engagement was the leader herself.
  • "Insuperable" is incorrectly used here. While a leader might be formidable, describing a person as "insuperable element" in this context is awkward and not the primary use of the word. It implies the leader herself is an obstacle impossible to overcome, which might be true in a figurative sense, but the phrasing is unnatural. The word typically applies to difficulties or challenges, not directly to people as an "element."
• Sentence 4: The hostel administration remained insuperable for a month.
  • "Insuperable" is incorrectly used here. It implies the administration itself was an insurmountable obstacle, which doesn't make sense in this context. It might mean they were unyielding or unresponsive, but "insuperable" is not the correct word for that.

Therefore, the correct answer is "Option 1".