There are two companies X and Y, each having three groups: HR, Marketing, and Finance. The details are as follows: Company X has 64 existing members. ...

Question

There are two companies X and Y, each having three groups: HR, Marketing, and Finance. The details are as follows:

  • Company X has 64 existing members. If 2 new members are added to each group, the ratio of total members (existing + new) in HR and Marketing combined to that in Finance becomes 4 : 3.

  • Company Y has 6 existing members in HR (no new members added here) and 10 existing members in Finance.

Additional information:

(i) Total members (new + existing) in Finance group of company Y is half the total members (new + existing) in Marketing group of company X.

(ii) New members added in Finance group of company Y is half the new members added in Marketing group of company Y.

(iii) Total members (new + existing) in Marketing group of company X is 6 more than that in Marketing group of company Y.

(iv) Total members (new + existing) in HR group of company X and Finance group of company Y together equal 28.

If company Z has total members (new + existing) in all three groups combined equal to 7 more than the average total members (new + existing) of companies X and Y, and the ratio of total members in HR, Marketing, and Finance groups of company Z is 5 : 6 : 4 respectively, then find the difference between total members in Marketing and Finance groups of company Z.

Options

A.

10

B.

12

C.

6

D.

4

E.

8

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