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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.
Q. Which of the following is the group of girls ?
  • a)
    BAC
  • b)
    BFC
  • c)
    BCD
  • d)
    CDF
Correct answer is option 'C'. Can you explain this answer?
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In a class there are seven students (including boys and girls) A, B, C...
BCD are the group of girls.
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In a class there are seven students (including boys and girls) A, B, C...
Solution:

Given data: Seven students, three benches, at least two students on each bench, at least one girl on each bench, C does not sit with A, E, and D, F sits with B, A sits on bench I with his best friends, G sits on bench III, E is the brother of C.

Let's arrange the given data to solve the problem.

Bench I: A and his best friends (at least one girl)
Bench II: ?
Bench III: G (at least one girl)

From the given data, we can conclude that C is a girl student and does not sit with A, E, and D. So, C can only sit with B and F on bench II as F sits with only B.

Bench I: A and his best friends (at least one girl)
Bench II: BFC (at least one girl)
Bench III: G (at least one girl)

Now, we know that E is the brother of C. So, E cannot sit on bench II with C. Therefore, E and D must sit on bench I with A and his best friends.

Bench I: A, E, D and his best friends (at least one girl)
Bench II: BFC (at least one girl)
Bench III: G (at least one girl)

Now, we have at least one girl on each bench. The only group of girls is BCD on bench II. Therefore, the correct answer is option 'C'.
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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.Q.Which of the following is the group of girls ?a)BACb)BFCc)BCDd)CDFCorrect answer is option 'C'. Can you explain this answer?
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