A company BELIANCE hosted a party for
8 members of company AXIAL. In the party no member of AXIAL had interacted with
more than three members of BELIANCE. Out of all the members of BELIANCE, three
members- each interacted with four members of AXIAL and the remaining members –
each interacted with two members of AXIAL. The greatest possible number of
members of company BELIANCE in the party is:

A.9 B. 10 C.
11 D. 12 E. None of these

Solution follows here:__Solution:__

Given number of members in AXIAL = 8

“In the party no member of AXIAL had interacted with more than
three members of BELIANCE”
=> Maximum number of interactions would be = 8*3
= 24.

“Out of all the members of BELIANCE, three members- each
interacted with four members of AXIAL” =>number
of interactions of these 3 members of BELIANCE= 3*4 = 12 => remaining number
of interactions for BELIANCE = 24-12 = 12

“and the remaining
members – each interacted with two members of AXIAL” => remaining
number of members in BELIANCE = 12/2 =

**6**
Maximum number of members in BELIANCE =

**6+3 = 9****Answer (A)**
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