Fill in the blanks with the suitable word from the options given belo…

The correct answer is Option (2) → However

"However" with "much", "hard", "often":

• However + adjective/adverb means "no matter how".
• It begins a clause of contrast: whatever the degree, the result in the main clause does not change.
• This sentence: "However much I tried, I couldn't help her" means that in spite of all my effort, I could not help her.
• Complete sentence: However much I tried, I couldn't help her.
  Example: However hard he worked, he could not finish the project on time.

Why the Other Options are Incorrect?

Option 1: Yet — Incorrect. Yet means but or even so and joins two contrasting statements. It cannot stand before "much" to mean "no matter how much".
Example: He is rich, yet he lives modestly.

Option 3: Hence — Incorrect. Hence means for this reason and introduces a result. The sentence shows contrast, not cause and result.
Example: The road was flooded; hence the school was closed.

Option 4: When — Incorrect. When shows time. "When much I tried" is not a meaningful clause.
Example: When I called, she was asleep.

Contrast: however + much/hard means "no matter how"; yet joins two contrasting statements ("He is rich, yet he lives modestly").