Banking Exams Exam  >  Banking Exams Questions  >  In a class there are seven students (includin... Start Learning for Free
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. How many girls are there out of these 7 students ?
  • a)
    3
  • b)
    3 or 4
  • c)
    4
  • d)
    Data inadequate
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a class there are seven students (including boys and girls) A, B, C...
To determine the number of girls among the seven students, let's analyze the given information:
● There are three benches: I, II, and III.
● Each bench must have at least two students.
● Each bench must have at least one girl.

From the given information, we can make the following deductions:
● C, who is a girl, does not sit with A, E, and D.
● F, a boy, sits only with B.
● A sits on bench I with his best friends.
● G sits on bench III.
● E is the brother of C.

Let's analyze the deductions one by one:
● C does not sit with A, E, and D. This means that C cannot be on bench I with A and cannot be on bench III with G. Therefore, C must be on bench II.
● F, a boy, sits only with B. Since F is with B and C is on bench II, F cannot be on bench I or bench III. Therefore, F must be on bench II with C.
● A sits on bench I with his best friends. Since A is on bench I and F is on bench II, G must be on bench III.

Based on the deductions, the seating arrangement looks like this:
Bench I: A and his best friends (unknown gender)
Bench II: C (girl) and F (boy)
Bench III: G (unknown gender)
From the given information, we know that at least one girl must be on each bench. Since bench II has C, a girl, and bench III has G (gender unknown), bench I must also have at least one girl to fulfill the requirement.
Therefore, among the seven students, there are either three or four girls. We cannot determine the exact number of girls as the gender of A and G is not provided.


Hence, the correct answer is option 'B' (3 or 4).
View all questions of this test
Most Upvoted Answer
In a class there are seven students (including boys and girls) A, B, C...
Given information:
- 7 students (boys and girls) - A, B, C, D, E, F, and G
- They sit on three benches - I, II, and III
- At least two students on each bench and at least one girl on each bench
- C (girl) does not sit with A, E, and D
- F (boy) sits with only B
- A sits on bench I with his best friends
- G sits on bench III
- E is the brother of C

To find: Number of girls out of these 7 students

Solution:
1. C does not sit with A, E, and D. Therefore, C can sit only with B, F, or G.
2. F sits with only B. Hence, C cannot sit with F.
3. A sits on bench I with his best friends. Therefore, A cannot sit with C.
4. G sits on bench III. Therefore, C can sit only with B.
5. E is the brother of C. Therefore, E cannot sit with C.

Possible seating arrangements:
- Bench I: A and 2 girls (excluding C and E)
- Bench II: B, C, and 1 more student (boy or girl)
- Bench III: G, E, and 1 more student (boy or girl)

Now, we can consider the possible cases of seating arrangements:

Case 1: Bench II - 2 girls (including C)
- In this case, bench I should have 1 girl (excluding C and E) and bench III should have at least 1 girl (excluding E).
- Possible seating arrangements for bench I: AGx, AxF, AxG (where x represents a girl other than C and E)
- Possible seating arrangements for bench III: ExGy or GExy (where x and y represents a boy or a girl other than C and E)
- Therefore, there are 3 possible arrangements in this case - AGx, AxF, and AxG. But only the first two arrangements have at least two students on each bench. So, we can consider only those two arrangements.
- In both these arrangements, there are 3 girls (including C).

Case 2: Bench II - 3 girls (including C)
- In this case, bench I should have at least 1 boy and bench III should have at least 1 boy.
- Possible seating arrangements for bench I: ABx, ADx, or AFx (where x represents a boy or a girl other than E and C)
- Possible seating arrangements for bench III: GExy or ExGy (where x and y represents a boy or a girl other than E and C)
- Therefore, there are 6 possible arrangements in this case. But only the arrangements ABx-BCG, ABx-CEG, ADx-BCG, and ADx-CEG have at least two students on each bench. So, we can consider only those four arrangements.
- In all these four arrangements, there are 3 or 4 girls (including C).

Therefore, there are either 3 or 4 girls out of these 7 students.

Answer: Option (B) 3 or 4.
Free Test
Community Answer
In a class there are seven students (including boys and girls) A, B, C...
The number of girls is either 3 or 4.
Explore Courses for Banking Exams exam

Similar Banking Exams Doubts

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.How many girls are there out of these 7 students ?a)3b)3 or 4c)4d)Data inadequateCorrect answer is option 'B'. Can you explain this answer?
Question Description
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.How many girls are there out of these 7 students ?a)3b)3 or 4c)4d)Data inadequateCorrect answer is option 'B'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about 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.How many girls are there out of these 7 students ?a)3b)3 or 4c)4d)Data inadequateCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.How many girls are there out of these 7 students ?a)3b)3 or 4c)4d)Data inadequateCorrect answer is option 'B'. Can you explain this answer?.
Solutions for 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.How many girls are there out of these 7 students ?a)3b)3 or 4c)4d)Data inadequateCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams. Download more important topics, notes, lectures and mock test series for Banking Exams Exam by signing up for free.
Here you can find the meaning of 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.How many girls are there out of these 7 students ?a)3b)3 or 4c)4d)Data inadequateCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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.How many girls are there out of these 7 students ?a)3b)3 or 4c)4d)Data inadequateCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for 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.How many girls are there out of these 7 students ?a)3b)3 or 4c)4d)Data inadequateCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of 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.How many girls are there out of these 7 students ?a)3b)3 or 4c)4d)Data inadequateCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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.How many girls are there out of these 7 students ?a)3b)3 or 4c)4d)Data inadequateCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
Explore Courses for Banking Exams exam

Top Courses for Banking Exams

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev