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Explanation:

There are seven people in three different departments, such that there are atleast two people per department. Hence, the department-level breakup of people is (3, 2, 2) in any order.

There are three females such that there is one female in each department. Hence, the male-female breakup per department is: (f + m), (f + m), (f + 2m).

F is in Administration and his only colleague is G.

Hence, F = Administration = Male

Also, there are only two people in Administration i.e. F and G, one of whom has to be female.

Hence, G = Administration = Female C = Finance

A is the husband of H and works in Finance. Hence, A = Finance = Male

Since B and E are brothers, both are male and both work in different departments.

Hence, B/E = Finance = Male

Hence, the third person in Finance i.e. C, has to be female. Hence, C = Finance= Female

Since there have to be atleast two people in each department, the two remaining people have to be in Logistics i.e. E/B = Logistics = Male and H = Logistics = Female

Thus, a group of 3 works in Finance.

Hence, option (d).

Note:

The correct answer is not given in any of the options. Hence, you can mark the closest possible answer i.e. option 4.

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