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A tutor has 10 students - A, B, C, D, E, F, G, H, I and J- to form four groups for tutorials. No group can have more than four students. No two groups can have the same number of students. C and G must be in the same group. A and F must be in the same group. I should be alone and is in one group. B and E cannot be in the same roup. F and E must be in different groups.
If A, D, F and J form a group, then the other two groups can be:-
No group can have more than four students. No two groups can have the same number of students.
=> The four groups will have 1,2,3,4 students respectively.
I should be alone and is in one group, => $$G_1=I$$
Given : A, D, F and J form a group, => $$G_4=A,D,F,J$$
Also, C and G must be in the same group. B and E cannot be in the same group.
=> B belongs with C and G, => $$G_3=B,C,G$$
and $$G_2=E,H$$
=> Ans - (C)
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