Step 1: Understanding the active sentence.
Active: "Sinha likes his subordinates to flatter him."
Here, "his subordinates" = subject of infinitive clause, "flatter" = verb, "him" = object.
Step 2: Passive structure.
When converting infinitive clause, "to + verb" becomes "to be + past participle."
Thus: "to flatter him" → "to be flattered by his subordinates."
Step 3: Checking options.
(A) Wrong — changes tense and meaning.
(B) Wrong — same as active, not passive.
(C) Correct — "Sinha likes to be flattered by his subordinates."
(D) Wrong — "flatter" (base form) instead of "flattered" (past participle).
Step 4: Conclusion.
Correct answer is (C) Sinha likes to be flattered by his subordinates.