Question

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In a class there are seven students (including boys and girls) A, B, C, D,
E, F and G. They sit on three benches I, II and III. Such that at least two
students on each bench and at least one girl on each bench. C who is a
girl student, does not sit with A, E and D. F the boy student sits with only
B. A sits on the bench I with his best friends. G sits on the bench III. E is
the brother of C.
Question
How many girls are there out of these 7 students?​

Answer 1

Given :- In a class there are seven students (including boys and girls) A, B, C, D, E, F and G. They sit on three benches I, II and III. Such that at least two students on each bench and at least one girl on each bench.

• C who is a girl student, does not sit with A, E and D.
• F the boy student sits with only B.
• A sits on the bench I with his be st friends.
• G sits on the bench III.
• E is the brother of C.

Solution :-

Statement 1) :- C who is a girl student, does not sit with A, E and D.

Conclusion (A) :-

• C is a girl => C sits with B , F or G .

Statement 2) :- F the boy student sits with only B.

Conclusion (B) :-

• F = Boy .
• given that, at least one girl sits on each bench.
• So, B = Girl .
• Also from Conclusion (A) , C sits with G only now.
• G is a boy .

Statement 3) :- A sits on the bench I with his be st friends and G sits on the bench III.

Conclusion (C) :-

• A = Bench I .
• G = Bench III .

Statement 4) :- E is the brother of C .

Conclusion (D) :-

• E = Boy.

therefore, from all conclusions we have :-

• Bench I = A , E or D => Since E is a boy, A or D could be girls .
• Bench II = F and B { from conclusion B } .
• Bench III = G and C { from conclusion B } .

Hence, required answer is either 3 or 4 .

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