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Four executives A, B, C, and D are assigned to four departments: Finance, HR, IT, and Marketing. Each executive heads one department, and each department has only one head.
  1. Answer see in detail...
Explanation

Four executives A, B, C, and D are assigned to four departments: Finance, HR, IT, and Marketing. Each executive heads one department, and each department has only one head.

The following conditions apply:

B always heads the Marketing department whenever Marketing is assigned.

If D heads the IT department, then B must head Marketing.

C can head only HR or IT. He cannot head Marketing or Finance.

If C heads the IT department, then B must head Marketing.

B cannot head HR if D heads IT.

A can head Finance, HR, or IT, but not Marketing.


Q1. If executive D heads the IT department, which of the following must be true? B heads Marketing

Q2. Which department cannot be headed by executive C? Marketing

Q3. If executive B heads the Marketing department, how many valid arrangements are possible for the remaining executives? 2

Q4. Which of the following arrangements is logically impossible? B heads HR and D heads IT

Q5. If executive C heads the IT department, which department must executive B head? Marketing

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