Step 1: Understanding the Question.
We need to spot the fake or non existent department among four names that all sound like they could belong to the Ministry of Finance.
Step 2: Key Fact or Approach.
The Ministry of Finance in India is organised into a set number of departments, each with clearly defined work, such as economic policy, government spending, tax revenue, banking and insurance regulation, and disinvestment of public sector shares.
Step 3: Detailed Explanation.
The Department of Expenditure controls how the government spends money and manages the finances of central schemes and state transfers. The Department of Financial Services supervises public sector banks, insurance firms, and pension bodies. The Department of Disinvestment managed the sale of government equity in public sector undertakings, a role later folded into the Department of Investment and Public Asset Management. None of the actual departments of the Ministry of Finance is called the Department of Detection of Financial Frauds. Financial fraud cases in India are instead investigated by separate agencies outside this ministry's departmental structure, such as the Enforcement Directorate, the Central Bureau of Investigation, and the Serious Fraud Investigation Office.
Step 4: Final Answer.
The Department of Detection of Financial Frauds is not a real department of the Ministry of Finance, so option (c) is correct.