We will use Friends for friend, Acquaintances for acquaintances, and Strangers for strangers.

All relationships are mutual. This means that if A is a friend of B, then B is also a friend of A. We have to keep in mind to fill such data for both sides of the point (like A and B in this case), to implement this effect of mutual relationship.

· Point (1): A, B, and C are mutual strangers. ⟹ B, C are strangers for A; A, C are strangers for B; A, B are strangers for C.

· Point (2): E has friends: A, D, F.

· Point (3): C and G are friends.

· In the table, A has 4 Strangers, 1 Acquaintances The remaining 1 person will be A’s Friends

· Similarly, G has 3 Acquaintances, 2 Strangers Then, remaining 1 person will be G’s Friends

· Point (4): Friends of A = Acquaintances of B.

⟹ Number of Acquaintances of B = 1, who will be A’s friend, E.

· Point (5): Friends of B = Acquaintances of A.

We know that, A has 1 Acquaintances

⟹ B will have 1 friend only. B’s Acq = 1, then B will have number of strangers = 6-1-1= 4.

We can use the same table to complete the data.

	No. of Friends		No. of Acquaintances		No. of Strangers		Remaining people
Amudha	1	E	1		4	B, C,	D, F, G
Bharatan	1		1	E	4	A, C,	D, F, G
Chandran		G,	1			A, B,	D, E, F
Dhinesh		E,			2		A, B, C, F, G
Ezhil		A, D, F,		B	1		C, G
Fani	1	E					A, B, C, D, G
Gowtham	1	C	3		2		A, B, D, E, F

· Among B’s possible friends: D, F, G; F and G have 1 friend each, who is not B. Therefore, B’s 1 friend will be D.

Also, A’s Acquaintances will be D also.

B’s Friends and Acquaintances are found. Remaining people (marked in red) will be strangers to B.

Similarly, A’s remaining people (marked in red) will be strangers.

· G’s Strangers are filled using above info. Then remaining people (marked in red) will be G’s Acquaintances.

	No. of Friends		No. of Acquaintances		No. of Strangers		Remaining people
Amudha	1	E	1	D	4	B, C, F, G	F, G
Bharatan	1	D	1	E	4	A, C, F, G	F, G
Chandran		G,	1			A, B,	D, E, F
Dhinesh		E, B		A, G	2		C, F
Ezhil		A, D, F,		B, G	1		C
Fani	1	E		G		A, B	C, D
Gowtham	1	C	3	D, E, F	2	A, B	D, E, F

· For D, there 2 people remaining, who will be D’s Strangers.

Also, D’s all people are used, this means that the people in respective columns will the final arrangements. We can fill the numbers accordingly.

· Similarly, for E, 1 person remaining will be E’s Stranger.

Also, E’s all people are used, this means that the people in respective columns will the final arrangements. We can fill the numbers accordingly.

· For C, remaining person (F) will be C’s Acquaintances. F’s Acquaintances will be C.

Also, numbers can be filled accordingly.

	No. of Friends		No. of Acquaintances		No. of Strangers		Remaining people
Amudha	1	E	1	D	4	B, C, F, G
Bharatan	1	D	1	E	4	A, C, F, G
Chandran	1	G	1	F	4	A, B, D, E	F
Dhinesh	2	E, B	2	A, G	2	C, F
Ezhil	3	A, D, F	2	B, G	1	C
Fani	1	E		G, C		A, B, D	C
Gowtham	1	C	3	D, E, F	2	A, B

We need to find same relationships in the pairs in each option:

a. B and C are strangers, D and E are friends. These relationships are not same.

b. C and E are strangers, D and G acquaintances. These relationships are not same.

c. A and G are strangers, E and F are friends. These relationships are not same.

d. B and E are acquaintances, F and G are acquaintances. These relationships are same.

Therefore, answer is option(d): (Bharatan, Ezhil) and (Fani, Gowtham).

CAT