TEN friends: A, B, C, D, E, F, J, K, L and M.Three branches: B.sc, B.com and B.A.1) A and B in the same branch but not in the B.com. A and B are not in B.com so they will be either in the B. A. or in the B.sc, now we have two cases for A and B.Case 1.BranchesB.scB.comB.A.FriendsA, B Case 2.BranchesB.scB.comB.A.Friends A, B2) D and C are in the different branch but not in the B.com. C does not study with A.Case 1. BranchesB.scB.comB.A.FriendsA, B, D CCase 2.BranchesB.scB.comB.A.FriendsC A, B, D3) L studies with two more friends in the B.A. Here it is fixed that there three friends in B. A. so possibility of A, B and D in the B. A. is canceled here, now we CONTINUE with A, B and D in the B.sc,BranchesB.scB.comB.A.FriendsA, B, D C, L 4) K is neither in the same branch with A nor studies in the B.com,BranchesB.scB.comB.A.FriendsA, B, D C, L, K 5) F is neither in the same branch with A nor with J. F is in the branch having more than three students but not in the B.com.BranchesB.scB.comB.A.FriendsA, B, D C, L, K,F6) J study with two more friends but not in the B.A. J and K are in the different branch and neither of them is in the same branch with D.BranchesB.scB.comB.A.FriendsA, B, DJC, L, K,F7) E is not in the same branch with B or C, so E will be in B.com. BranchesB.scB.comB.A.FriendsA, B, DJ, E C, L, K,F8) M is neither in the same branch with F nor with the D, so M will be in the B.com. Now the final arrangement is as follows;BranchesB.scB.comB.A.FriendsA, B, DJ, E, MC, L, K,FHence, 'K' is in the 'B.A'.